Greatest Common Factor of 7014/79, 5608/753

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 7014/79, 5608/753

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 7014/79,5608/753

Given fractions are 7014/79,5608/753

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 7014,5608

Greatest Common Factor of Numerators i.e. GCF of 7014,5608 is 2 .

LCM of Denominators means LCM of 79,753 as per the given fractions.

LCM of 79,753 is 59487 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 7014,5608

GCF of Fractions 7014/79,5608/753 is 2/59487

2 7014, 5608
3507, 2804

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

Greatest Common Factor of 7014,5608 By Matching Biggest Common Factor Method

Greatest Common Factor of 7014,5608 By Matching Biggest Common Factor Method

Factors of 7014

List of positive integer factors of 7014 that divides 7014 without a remainder.

1,2,3,6,7,14,21,42,167,334,501,1002,1169,2338,3507,7014

Factors of 5608

List of positive integer factors of 5608 that divides 5608 without a remainder.

1,2,4,8,701,1402,2804,5608

Greatest Common Factor

We found the factors 7014,5608 . The biggest common factor number is the GCF number.
So the greatest common factor 7014,5608 is 2.

Lets's calculate LCM of 79,753

Given numbers has no common factors except 1. So, there LCM is their product i.e 59487

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/59487

Therefore, the GCF of Fractions 7014/79,5608/753 is 2/59487

Least Common Multiple of 79,753 with GCF Formula

Least Common Multiple of 79,753 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 79,753 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(79,753) = 1

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

GCF(79,753) x common factors =1 x 1 = 1

LCM(79,753) = ( 79 × 753 ) / 1

LCM(79,753) = 59487 / 1

LCM(79,753) = 59487


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 7014/79, 5608/753

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 7014/79, 5608/753?

Answer: GCF of Numerators as per given numbers 7014/79, 5608/753 is

GCF of Numerators i.e. for 7014,5608 is 2

LCM of denominators i.e. for 79,753 is 59487.

Thus, GCF of Fractions is 2/59487.Finally, GCF of Fractions for 7014/79, 5608/753 is 2/59487.