Greatest Common Factor of 7738/112, 2242/1451

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 7738/112, 2242/1451

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 7738/112,2242/1451

Given fractions are 7738/112,2242/1451

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 7738,2242

Greatest Common Factor of Numerators i.e. GCF of 7738,2242 is 2 .

LCM of Denominators means LCM of 112,1451 as per the given fractions.

LCM of 112,1451 is 162512 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 7738,2242

GCF of Fractions 7738/112,2242/1451 is 2/162512

2 7738, 2242
3869, 1121

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

Greatest Common Factor of 7738,2242 By Matching Biggest Common Factor Method

Greatest Common Factor of 7738,2242 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 2242

List of positive integer factors of 2242 that divides 2242 without a remainder.

1,2,19,38,59,118,1121,2242

Greatest Common Factor

We found the factors 7738,2242 . The biggest common factor number is the GCF number.
So the greatest common factor 7738,2242 is 2.

Lets's calculate LCM of 112,1451

Given numbers has no common factors except 1. So, there LCM is their product i.e 162512

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/162512

Therefore, the GCF of Fractions 7738/112,2242/1451 is 2/162512

Least Common Multiple of 112,1451 with GCF Formula

Least Common Multiple of 112,1451 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 112,1451 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(112,1451) = 1

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

GCF(112,1451) x common factors =1 x 1 = 1

LCM(112,1451) = ( 112 × 1451 ) / 1

LCM(112,1451) = 162512 / 1

LCM(112,1451) = 162512


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 7738/112, 2242/1451

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 7738/112, 2242/1451?

Answer: GCF of Numerators as per given numbers 7738/112, 2242/1451 is

GCF of Numerators i.e. for 7738,2242 is 2

LCM of denominators i.e. for 112,1451 is 162512.

Thus, GCF of Fractions is 2/162512.Finally, GCF of Fractions for 7738/112, 2242/1451 is 2/162512.