There are 435 representatives and 100 senators serving in the united states congress .how many identical groups with the same numbers of representatives and senators can be formed from all of congress if we want to largest group is possible? how many representatives and senators would be in each group?

The number of representatives and senators can be formed from all of Congress if we want to largest group is possible =5

The number of representatives and senators would be 87 and 20 respectively in each group.

Step-by-step explanation:

Given : There are 435 representatives and 100  senators serving in the United States Congress .

To find the largest possible group with same numbers of representatives and senators can be formed from all of Congress, we need to find GCF (Greatest Common Factor) of 435 and 100.

Prime factorization of 435 and 100 :-

We can see that, GCF (435,100)=5

∴ The number of representatives and senators can be formed from all of Congress if we want to largest group is possible = 5

Now, the number of representatives in each group =

The number of senators in each group =