Greatest Common Factor of 7678/48, 1632/579

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 7678/48, 1632/579

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 7678/48,1632/579

Given fractions are 7678/48,1632/579

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 7678,1632

Greatest Common Factor of Numerators i.e. GCF of 7678,1632 is 2 .

LCM of Denominators means LCM of 48,579 as per the given fractions.

LCM of 48,579 is 9264 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 7678,1632

GCF of Fractions 7678/48,1632/579 is 2/9264

2 7678, 1632
3839, 816

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

Greatest Common Factor of 7678,1632 By Matching Biggest Common Factor Method

Greatest Common Factor of 7678,1632 By Matching Biggest Common Factor Method

Factors of 7678

List of positive integer factors of 7678 that divides 7678 without a remainder.

1,2,11,22,349,698,3839,7678

Factors of 1632

List of positive integer factors of 1632 that divides 1632 without a remainder.

1,2,3,4,6,8,12,16,17,24,32,34,48,51,68,96,102,136,204,272,408,544,816,1632

Greatest Common Factor

We found the factors 7678,1632 . The biggest common factor number is the GCF number.
So the greatest common factor 7678,1632 is 2.

Lets's calculate LCM of 48,579

3 48, 579
16, 193

∴ So the LCM of the given numbers is 3 x 16 x 193 = 9264

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/9264

Therefore, the GCF of Fractions 7678/48,1632/579 is 2/9264

Least Common Multiple of 48,579 with GCF Formula

Least Common Multiple of 48,579 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 48,579 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(48,579) = 3

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

GCF(48,579) x common factors =3 x 1 = 3

LCM(48,579) = ( 48 × 579 ) / 3

LCM(48,579) = 27792 / 3

LCM(48,579) = 9264


GCF of Fractions Calculation Examples

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GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

Frequently Asked Questions on Fractional GCF of 7678/48, 1632/579

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 7678/48, 1632/579?

Answer: GCF of Numerators as per given numbers 7678/48, 1632/579 is

GCF of Numerators i.e. for 7678,1632 is 2

LCM of denominators i.e. for 48,579 is 9264.

Thus, GCF of Fractions is 2/9264.Finally, GCF of Fractions for 7678/48, 1632/579 is 2/9264.