Greatest Common Factor of 4612/890, 6547/3720

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 4612/890, 6547/3720

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 4612/890,6547/3720

Given fractions are 4612/890,6547/3720

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 4612,6547

Greatest Common Factor of Numerators i.e. GCF of 4612,6547 is 1 .

LCM of Denominators means LCM of 890,3720 as per the given fractions.

LCM of 890,3720 is 331080 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 4612,6547

GCF of Fractions 4612/890,6547/3720 is 1/331080

∴ So GCF of numbers is 1 because of no common factors present between them.

Greatest Common Factor of 4612,6547 By Matching Biggest Common Factor Method

Greatest Common Factor of 4612,6547 By Matching Biggest Common Factor Method

Factors of 4612

List of positive integer factors of 4612 that divides 4612 without a remainder.

1,2,4,1153,2306,4612

Factors of 6547

List of positive integer factors of 6547 that divides 6547 without a remainder.

1,6547

Greatest Common Factor

We found the factors 4612,6547 . The biggest common factor number is the GCF number.
So the greatest common factor 4612,6547 is 1.

Lets's calculate LCM of 890,3720

2 890, 3720
5 445, 1860
89, 372

∴ So the LCM of the given numbers is 2 x 5 x 89 x 372 = 331080

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/331080

Therefore, the GCF of Fractions 4612/890,6547/3720 is 1/331080

Least Common Multiple of 890,3720 with GCF Formula

Least Common Multiple of 890,3720 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 890,3720 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(890,3720) = 10

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

GCF(890,3720) x common factors =10 x 1 = 10

LCM(890,3720) = ( 890 × 3720 ) / 10

LCM(890,3720) = 3310800 / 10

LCM(890,3720) = 331080


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 4612/890, 6547/3720

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 4612/890, 6547/3720?

Answer: GCF of Numerators as per given numbers 4612/890, 6547/3720 is

GCF of Numerators i.e. for 4612,6547 is 1

LCM of denominators i.e. for 890,3720 is 331080.

Thus, GCF of Fractions is 1/331080.Finally, GCF of Fractions for 4612/890, 6547/3720 is 1/331080.