Greatest Common Factor of 1855/797, 1630/302

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 1855/797, 1630/302

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

GCF of:

Greatest Common Factor of 1855/797,1630/302

Given fractions are 1855/797,1630/302

Formula to find GCF of Fractions is

GCF = GCF of Numerators/LCM of Denominators

As per the formula GCF of Fractions let’s split into two parts and find the GCF of Numerators and LCM of Denominators

In the given fractions GCF of Numerators means GCF of 1855,1630

Greatest Common Factor of Numerators i.e. GCF of 1855,1630 is 5 .

LCM of Denominators means LCM of 797,302 as per the given fractions.

LCM of 797,302 is 240694 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 1855,1630

GCF of Fractions 1855/797,1630/302 is 5/240694

5 1855, 1630
371, 326

∴ So the GCF of the given numbers is 5 = 5

Greatest Common Factor of 1855,1630 By Matching Biggest Common Factor Method

Greatest Common Factor of 1855,1630 By Matching Biggest Common Factor Method

Factors of 1855

List of positive integer factors of 1855 that divides 1855 without a remainder.

1,5,7,35,53,265,371,1855

Factors of 1630

List of positive integer factors of 1630 that divides 1630 without a remainder.

1,2,5,10,163,326,815,1630

Greatest Common Factor

We found the factors 1855,1630 . The biggest common factor number is the GCF number.
So the greatest common factor 1855,1630 is 5.

Lets's calculate LCM of 797,302

Given numbers has no common factors except 1. So, there LCM is their product i.e 240694

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 5/240694

Therefore, the GCF of Fractions 1855/797,1630/302 is 5/240694

Least Common Multiple of 797,302 with GCF Formula

Least Common Multiple of 797,302 with GCF Formula

The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 797,302 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(797,302) = 1

common factors(in case of two or more numbers have common factors) = 1

GCF(797,302) x common factors =1 x 1 = 1

LCM(797,302) = ( 797 × 302 ) / 1

LCM(797,302) = 240694 / 1

LCM(797,302) = 240694


GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

Frequently Asked Questions on Fractional GCF of 1855/797, 1630/302

1. How to find GCF in Fractions?

Answer: GCF of fractions can be found using the simple formula GCF of Fractions = GCF of Numerators/LCM of Denominators.

2. What is the GCF of Fractions for 1855/797, 1630/302?

Answer: GCF of Numerators as per given numbers 1855/797, 1630/302 is

GCF of Numerators i.e. for 1855,1630 is 5

LCM of denominators i.e. for 797,302 is 240694.

Thus, GCF of Fractions is 5/240694.Finally, GCF of Fractions for 1855/797, 1630/302 is 5/240694.