Greatest Common Factor of 4932/267, 6720/4138

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 4932/267, 6720/4138

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 4932/267,6720/4138

Given fractions are 4932/267,6720/4138

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 4932,6720

Greatest Common Factor of Numerators i.e. GCF of 4932,6720 is 12 .

LCM of Denominators means LCM of 267,4138 as per the given fractions.

LCM of 267,4138 is 1104846 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 4932,6720

GCF of Fractions 4932/267,6720/4138 is 12/1104846

2 4932, 6720
2 2466, 3360
3 1233, 1680
411, 560

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

Greatest Common Factor of 4932,6720 By Matching Biggest Common Factor Method

Greatest Common Factor of 4932,6720 By Matching Biggest Common Factor Method

Factors of 4932

List of positive integer factors of 4932 that divides 4932 without a remainder.

1,2,3,4,6,9,12,18,36,137,274,411,548,822,1233,1644,2466,4932

Factors of 6720

List of positive integer factors of 6720 that divides 6720 without a remainder.

1,2,3,4,5,6,7,8,10,12,14,15,16,20,21,24,28,30,32,35,40,42,48,56,60,64,70,80,84,96,105,112,120,140,160,168,192,210,224,240,280,320,336,420,448,480,560,672,840,960,1120,1344,1680,2240,3360,6720

Greatest Common Factor

We found the factors 4932,6720 . The biggest common factor number is the GCF number.
So the greatest common factor 4932,6720 is 12.

Lets's calculate LCM of 267,4138

Given numbers has no common factors except 1. So, there LCM is their product i.e 1104846

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 12/1104846

Therefore, the GCF of Fractions 4932/267,6720/4138 is 12/1104846

Least Common Multiple of 267,4138 with GCF Formula

Least Common Multiple of 267,4138 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 267,4138 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(267,4138) = 1

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

GCF(267,4138) x common factors =1 x 1 = 1

LCM(267,4138) = ( 267 × 4138 ) / 1

LCM(267,4138) = 1104846 / 1

LCM(267,4138) = 1104846


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 4932/267, 6720/4138

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 4932/267, 6720/4138?

Answer: GCF of Numerators as per given numbers 4932/267, 6720/4138 is

GCF of Numerators i.e. for 4932,6720 is 12

LCM of denominators i.e. for 267,4138 is 1104846.

Thus, GCF of Fractions is 12/1104846.Finally, GCF of Fractions for 4932/267, 6720/4138 is 12/1104846.