Greatest Common Factor of 7738/837, 4308/9781

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 7738/837, 4308/9781

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 7738/837,4308/9781

Given fractions are 7738/837,4308/9781

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 7738,4308

Greatest Common Factor of Numerators i.e. GCF of 7738,4308 is 2 .

LCM of Denominators means LCM of 837,9781 as per the given fractions.

LCM of 837,9781 is 8186697 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 7738,4308

GCF of Fractions 7738/837,4308/9781 is 2/8186697

2 7738, 4308
3869, 2154

∴ So the GCF of the given numbers is 2 = 2

Greatest Common Factor of 7738,4308 By Matching Biggest Common Factor Method

Greatest Common Factor of 7738,4308 By Matching Biggest Common Factor Method

Factors of 7738

List of positive integer factors of 7738 that divides 7738 without a remainder.

1,2,53,73,106,146,3869,7738

Factors of 4308

List of positive integer factors of 4308 that divides 4308 without a remainder.

1,2,3,4,6,12,359,718,1077,1436,2154,4308

Greatest Common Factor

We found the factors 7738,4308 . The biggest common factor number is the GCF number.
So the greatest common factor 7738,4308 is 2.

Lets's calculate LCM of 837,9781

Given numbers has no common factors except 1. So, there LCM is their product i.e 8186697

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/8186697

Therefore, the GCF of Fractions 7738/837,4308/9781 is 2/8186697

Least Common Multiple of 837,9781 with GCF Formula

Least Common Multiple of 837,9781 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 837,9781 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(837,9781) = 1

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

GCF(837,9781) x common factors =1 x 1 = 1

LCM(837,9781) = ( 837 × 9781 ) / 1

LCM(837,9781) = 8186697 / 1

LCM(837,9781) = 8186697


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 7738/837, 4308/9781

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 7738/837, 4308/9781?

Answer: GCF of Numerators as per given numbers 7738/837, 4308/9781 is

GCF of Numerators i.e. for 7738,4308 is 2

LCM of denominators i.e. for 837,9781 is 8186697.

Thus, GCF of Fractions is 2/8186697.Finally, GCF of Fractions for 7738/837, 4308/9781 is 2/8186697.