Greatest Common Factor of 4350/137, 4654/7678

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 4350/137, 4654/7678

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 4350/137,4654/7678

Given fractions are 4350/137,4654/7678

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 4350,4654

Greatest Common Factor of Numerators i.e. GCF of 4350,4654 is 2 .

LCM of Denominators means LCM of 137,7678 as per the given fractions.

LCM of 137,7678 is 1051886 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 4350,4654

GCF of Fractions 4350/137,4654/7678 is 2/1051886

2 4350, 4654
2175, 2327

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

Greatest Common Factor of 4350,4654 By Matching Biggest Common Factor Method

Greatest Common Factor of 4350,4654 By Matching Biggest Common Factor Method

Factors of 4350

List of positive integer factors of 4350 that divides 4350 without a remainder.

1,2,3,5,6,10,15,25,29,30,50,58,75,87,145,150,174,290,435,725,870,1450,2175,4350

Factors of 4654

List of positive integer factors of 4654 that divides 4654 without a remainder.

1,2,13,26,179,358,2327,4654

Greatest Common Factor

We found the factors 4350,4654 . The biggest common factor number is the GCF number.
So the greatest common factor 4350,4654 is 2.

Lets's calculate LCM of 137,7678

Given numbers has no common factors except 1. So, there LCM is their product i.e 1051886

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/1051886

Therefore, the GCF of Fractions 4350/137,4654/7678 is 2/1051886

Least Common Multiple of 137,7678 with GCF Formula

Least Common Multiple of 137,7678 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 137,7678 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(137,7678) = 1

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

GCF(137,7678) x common factors =1 x 1 = 1

LCM(137,7678) = ( 137 × 7678 ) / 1

LCM(137,7678) = 1051886 / 1

LCM(137,7678) = 1051886


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 4350/137, 4654/7678

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 4350/137, 4654/7678?

Answer: GCF of Numerators as per given numbers 4350/137, 4654/7678 is

GCF of Numerators i.e. for 4350,4654 is 2

LCM of denominators i.e. for 137,7678 is 1051886.

Thus, GCF of Fractions is 2/1051886.Finally, GCF of Fractions for 4350/137, 4654/7678 is 2/1051886.