Can find no reference to a Remngton Model 97 shotgun.Could you mean a Winchester model 1897?If so include the serial number to help get you a answer.
Between 1931 and 1949.
I have one that has a serial just over 15,000 later than yours and Remington tells me mine was made in 1931.
Someone at the RSA might be able to help.
Your Remington model of 1917 rifle was made in November of 1918,with the serial number that you have provided.
between $200 and $1100.
By serial or the date code if made after 1920, see related links for date code information on the Remington Society of America.
your Remington model 1894 shotgun was made in 1899.
Your remington model 700 was made in 1982 with the letter C prefix to the serial number.
With the serial number that you have provided,your Remington model of 1917 wa made in December of 1918.Your rifle was made at the end of production of these rifles for World War I.The last Remington serial number was 646,000.
If this made sense I could answer better but if your asking for a date of a model 31 by serial you are better just looking at the date code stamp on the barrel. See related links for information on the Remington Society of America.
Remington.com
1918