Greatest Common Factor of 9780/56, 1632/167

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 9780/56, 1632/167

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 9780/56,1632/167

Given fractions are 9780/56,1632/167

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 9780,1632

Greatest Common Factor of Numerators i.e. GCF of 9780,1632 is 12 .

LCM of Denominators means LCM of 56,167 as per the given fractions.

LCM of 56,167 is 9352 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 9780,1632

GCF of Fractions 9780/56,1632/167 is 12/9352

2 9780, 1632
2 4890, 816
3 2445, 408
815, 136

∴ So the GCF of the given numbers is 2 x 2 x 3 = 12

Greatest Common Factor of 9780,1632 By Matching Biggest Common Factor Method

Greatest Common Factor of 9780,1632 By Matching Biggest Common Factor Method

Factors of 9780

List of positive integer factors of 9780 that divides 9780 without a remainder.

1,2,3,4,5,6,10,12,15,20,30,60,163,326,489,652,815,978,1630,1956,2445,3260,4890,9780

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 9780,1632 . The biggest common factor number is the GCF number.
So the greatest common factor 9780,1632 is 12.

Lets's calculate LCM of 56,167

Given numbers has no common factors except 1. So, there LCM is their product i.e 9352

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 12/9352

Therefore, the GCF of Fractions 9780/56,1632/167 is 12/9352

Least Common Multiple of 56,167 with GCF Formula

Least Common Multiple of 56,167 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 56,167 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(56,167) = 1

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

GCF(56,167) x common factors =1 x 1 = 1

LCM(56,167) = ( 56 × 167 ) / 1

LCM(56,167) = 9352 / 1

LCM(56,167) = 9352


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 9780/56, 1632/167

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 9780/56, 1632/167?

Answer: GCF of Numerators as per given numbers 9780/56, 1632/167 is

GCF of Numerators i.e. for 9780,1632 is 12

LCM of denominators i.e. for 56,167 is 9352.

Thus, GCF of Fractions is 12/9352.Finally, GCF of Fractions for 9780/56, 1632/167 is 12/9352.