Greatest Common Factor of 7442/77, 4544/354

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 7442/77, 4544/354

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 7442/77,4544/354

Given fractions are 7442/77,4544/354

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 7442,4544

Greatest Common Factor of Numerators i.e. GCF of 7442,4544 is 2 .

LCM of Denominators means LCM of 77,354 as per the given fractions.

LCM of 77,354 is 27258 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 7442,4544

GCF of Fractions 7442/77,4544/354 is 2/27258

2 7442, 4544
3721, 2272

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

Greatest Common Factor of 7442,4544 By Matching Biggest Common Factor Method

Greatest Common Factor of 7442,4544 By Matching Biggest Common Factor Method

Factors of 7442

List of positive integer factors of 7442 that divides 7442 without a remainder.

1,2,61,122,3721,7442

Factors of 4544

List of positive integer factors of 4544 that divides 4544 without a remainder.

1,2,4,8,16,32,64,71,142,284,568,1136,2272,4544

Greatest Common Factor

We found the factors 7442,4544 . The biggest common factor number is the GCF number.
So the greatest common factor 7442,4544 is 2.

Lets's calculate LCM of 77,354

Given numbers has no common factors except 1. So, there LCM is their product i.e 27258

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/27258

Therefore, the GCF of Fractions 7442/77,4544/354 is 2/27258

Least Common Multiple of 77,354 with GCF Formula

Least Common Multiple of 77,354 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 77,354 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(77,354) = 1

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

GCF(77,354) x common factors =1 x 1 = 1

LCM(77,354) = ( 77 × 354 ) / 1

LCM(77,354) = 27258 / 1

LCM(77,354) = 27258


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 7442/77, 4544/354

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 7442/77, 4544/354?

Answer: GCF of Numerators as per given numbers 7442/77, 4544/354 is

GCF of Numerators i.e. for 7442,4544 is 2

LCM of denominators i.e. for 77,354 is 27258.

Thus, GCF of Fractions is 2/27258.Finally, GCF of Fractions for 7442/77, 4544/354 is 2/27258.