Greatest Common Factor of 9210/546, 4671/1220

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 9210/546, 4671/1220

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 9210/546,4671/1220

Given fractions are 9210/546,4671/1220

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 9210,4671

Greatest Common Factor of Numerators i.e. GCF of 9210,4671 is 3 .

LCM of Denominators means LCM of 546,1220 as per the given fractions.

LCM of 546,1220 is 333060 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 9210,4671

GCF of Fractions 9210/546,4671/1220 is 3/333060

3 9210, 4671
3070, 1557

∴ So the GCF of the given numbers is 3 = 3

Greatest Common Factor of 9210,4671 By Matching Biggest Common Factor Method

Greatest Common Factor of 9210,4671 By Matching Biggest Common Factor Method

Factors of 9210

List of positive integer factors of 9210 that divides 9210 without a remainder.

1,2,3,5,6,10,15,30,307,614,921,1535,1842,3070,4605,9210

Factors of 4671

List of positive integer factors of 4671 that divides 4671 without a remainder.

1,3,9,27,173,519,1557,4671

Greatest Common Factor

We found the factors 9210,4671 . The biggest common factor number is the GCF number.
So the greatest common factor 9210,4671 is 3.

Lets's calculate LCM of 546,1220

2 546, 1220
273, 610

∴ So the LCM of the given numbers is 2 x 273 x 610 = 333060

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/333060

Therefore, the GCF of Fractions 9210/546,4671/1220 is 3/333060

Least Common Multiple of 546,1220 with GCF Formula

Least Common Multiple of 546,1220 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 546,1220 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(546,1220) = 2

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

GCF(546,1220) x common factors =2 x 1 = 2

LCM(546,1220) = ( 546 × 1220 ) / 2

LCM(546,1220) = 666120 / 2

LCM(546,1220) = 333060


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 9210/546, 4671/1220

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 9210/546, 4671/1220?

Answer: GCF of Numerators as per given numbers 9210/546, 4671/1220 is

GCF of Numerators i.e. for 9210,4671 is 3

LCM of denominators i.e. for 546,1220 is 333060.

Thus, GCF of Fractions is 3/333060.Finally, GCF of Fractions for 9210/546, 4671/1220 is 3/333060.