Greatest Common Factor of 8344/749, 7006/484

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 8344/749, 7006/484

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 8344/749,7006/484

Given fractions are 8344/749,7006/484

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 8344,7006

Greatest Common Factor of Numerators i.e. GCF of 8344,7006 is 2 .

LCM of Denominators means LCM of 749,484 as per the given fractions.

LCM of 749,484 is 362516 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 8344,7006

GCF of Fractions 8344/749,7006/484 is 2/362516

2 8344, 7006
4172, 3503

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

Greatest Common Factor of 8344,7006 By Matching Biggest Common Factor Method

Greatest Common Factor of 8344,7006 By Matching Biggest Common Factor Method

Factors of 8344

List of positive integer factors of 8344 that divides 8344 without a remainder.

1,2,4,7,8,14,28,56,149,298,596,1043,1192,2086,4172,8344

Factors of 7006

List of positive integer factors of 7006 that divides 7006 without a remainder.

1,2,31,62,113,226,3503,7006

Greatest Common Factor

We found the factors 8344,7006 . The biggest common factor number is the GCF number.
So the greatest common factor 8344,7006 is 2.

Lets's calculate LCM of 749,484

Given numbers has no common factors except 1. So, there LCM is their product i.e 362516

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/362516

Therefore, the GCF of Fractions 8344/749,7006/484 is 2/362516

Least Common Multiple of 749,484 with GCF Formula

Least Common Multiple of 749,484 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 749,484 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(749,484) = 1

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

GCF(749,484) x common factors =1 x 1 = 1

LCM(749,484) = ( 749 × 484 ) / 1

LCM(749,484) = 362516 / 1

LCM(749,484) = 362516


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 8344/749, 7006/484

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 8344/749, 7006/484?

Answer: GCF of Numerators as per given numbers 8344/749, 7006/484 is

GCF of Numerators i.e. for 8344,7006 is 2

LCM of denominators i.e. for 749,484 is 362516.

Thus, GCF of Fractions is 2/362516.Finally, GCF of Fractions for 8344/749, 7006/484 is 2/362516.