Greatest Common Factor of 9612/727, 2211/2451

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 9612/727, 2211/2451

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 9612/727,2211/2451

Given fractions are 9612/727,2211/2451

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 9612,2211

Greatest Common Factor of Numerators i.e. GCF of 9612,2211 is 3 .

LCM of Denominators means LCM of 727,2451 as per the given fractions.

LCM of 727,2451 is 1781877 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 9612,2211

GCF of Fractions 9612/727,2211/2451 is 3/1781877

3 9612, 2211
3204, 737

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

Greatest Common Factor of 9612,2211 By Matching Biggest Common Factor Method

Greatest Common Factor of 9612,2211 By Matching Biggest Common Factor Method

Factors of 9612

List of positive integer factors of 9612 that divides 9612 without a remainder.

1,2,3,4,6,9,12,18,27,36,54,89,108,178,267,356,534,801,1068,1602,2403,3204,4806,9612

Factors of 2211

List of positive integer factors of 2211 that divides 2211 without a remainder.

1,3,11,33,67,201,737,2211

Greatest Common Factor

We found the factors 9612,2211 . The biggest common factor number is the GCF number.
So the greatest common factor 9612,2211 is 3.

Lets's calculate LCM of 727,2451

Given numbers has no common factors except 1. So, there LCM is their product i.e 1781877

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/1781877

Therefore, the GCF of Fractions 9612/727,2211/2451 is 3/1781877

Least Common Multiple of 727,2451 with GCF Formula

Least Common Multiple of 727,2451 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 727,2451 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(727,2451) = 1

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

GCF(727,2451) x common factors =1 x 1 = 1

LCM(727,2451) = ( 727 × 2451 ) / 1

LCM(727,2451) = 1781877 / 1

LCM(727,2451) = 1781877


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 9612/727, 2211/2451

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 9612/727, 2211/2451?

Answer: GCF of Numerators as per given numbers 9612/727, 2211/2451 is

GCF of Numerators i.e. for 9612,2211 is 3

LCM of denominators i.e. for 727,2451 is 1781877.

Thus, GCF of Fractions is 3/1781877.Finally, GCF of Fractions for 9612/727, 2211/2451 is 3/1781877.