Greatest Common Factor of 4370/877, 7632/6739

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 4370/877, 7632/6739

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 4370/877,7632/6739

Given fractions are 4370/877,7632/6739

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 4370,7632

Greatest Common Factor of Numerators i.e. GCF of 4370,7632 is 2 .

LCM of Denominators means LCM of 877,6739 as per the given fractions.

LCM of 877,6739 is 5910103 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 4370,7632

GCF of Fractions 4370/877,7632/6739 is 2/5910103

2 4370, 7632
2185, 3816

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

Greatest Common Factor of 4370,7632 By Matching Biggest Common Factor Method

Greatest Common Factor of 4370,7632 By Matching Biggest Common Factor Method

Factors of 4370

List of positive integer factors of 4370 that divides 4370 without a remainder.

1,2,5,10,19,23,38,46,95,115,190,230,437,874,2185,4370

Factors of 7632

List of positive integer factors of 7632 that divides 7632 without a remainder.

1,2,3,4,6,8,9,12,16,18,24,36,48,53,72,106,144,159,212,318,424,477,636,848,954,1272,1908,2544,3816,7632

Greatest Common Factor

We found the factors 4370,7632 . The biggest common factor number is the GCF number.
So the greatest common factor 4370,7632 is 2.

Lets's calculate LCM of 877,6739

Given numbers has no common factors except 1. So, there LCM is their product i.e 5910103

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/5910103

Therefore, the GCF of Fractions 4370/877,7632/6739 is 2/5910103

Least Common Multiple of 877,6739 with GCF Formula

Least Common Multiple of 877,6739 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 877,6739 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(877,6739) = 1

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

GCF(877,6739) x common factors =1 x 1 = 1

LCM(877,6739) = ( 877 × 6739 ) / 1

LCM(877,6739) = 5910103 / 1

LCM(877,6739) = 5910103


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 4370/877, 7632/6739

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 4370/877, 7632/6739?

Answer: GCF of Numerators as per given numbers 4370/877, 7632/6739 is

GCF of Numerators i.e. for 4370,7632 is 2

LCM of denominators i.e. for 877,6739 is 5910103.

Thus, GCF of Fractions is 2/5910103.Finally, GCF of Fractions for 4370/877, 7632/6739 is 2/5910103.