Greatest Common Factor of 3698/702, 1991/5156

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 3698/702, 1991/5156

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 3698/702,1991/5156

Given fractions are 3698/702,1991/5156

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 3698,1991

Greatest Common Factor of Numerators i.e. GCF of 3698,1991 is 1 .

LCM of Denominators means LCM of 702,5156 as per the given fractions.

LCM of 702,5156 is 1809756 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 3698,1991

GCF of Fractions 3698/702,1991/5156 is 1/1809756

∴ So GCF of numbers is 1 because of no common factors present between them.

Greatest Common Factor of 3698,1991 By Matching Biggest Common Factor Method

Greatest Common Factor of 3698,1991 By Matching Biggest Common Factor Method

Factors of 3698

List of positive integer factors of 3698 that divides 3698 without a remainder.

1,2,43,86,1849,3698

Factors of 1991

List of positive integer factors of 1991 that divides 1991 without a remainder.

1,11,181,1991

Greatest Common Factor

We found the factors 3698,1991 . The biggest common factor number is the GCF number.
So the greatest common factor 3698,1991 is 1.

Lets's calculate LCM of 702,5156

2 702, 5156
351, 2578

∴ So the LCM of the given numbers is 2 x 351 x 2578 = 1809756

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1809756

Therefore, the GCF of Fractions 3698/702,1991/5156 is 1/1809756

Least Common Multiple of 702,5156 with GCF Formula

Least Common Multiple of 702,5156 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 702,5156 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(702,5156) = 2

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

GCF(702,5156) x common factors =2 x 1 = 2

LCM(702,5156) = ( 702 × 5156 ) / 2

LCM(702,5156) = 3619512 / 2

LCM(702,5156) = 1809756


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 3698/702, 1991/5156

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 3698/702, 1991/5156?

Answer: GCF of Numerators as per given numbers 3698/702, 1991/5156 is

GCF of Numerators i.e. for 3698,1991 is 1

LCM of denominators i.e. for 702,5156 is 1809756.

Thus, GCF of Fractions is 1/1809756.Finally, GCF of Fractions for 3698/702, 1991/5156 is 1/1809756.