Greatest Common Factor of 220/759, 722/960, 928/822

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 220/759, 722/960, 928/822

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 220/759,722/960,928/822

Given fractions are 220/759,722/960,928/822

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 220,722,928

Greatest Common Factor of Numerators i.e. GCF of 220,722,928 is 2 .

LCM of Denominators means LCM of 759,960,822 as per the given fractions.

LCM of 759,960,822 is 33274560 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 220,722,928

GCF of Fractions 220/759,722/960,928/822 is 2/33274560

2 220, 722, 928
110, 361, 464

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

Greatest Common Factor of 220,722,928 By Matching Biggest Common Factor Method

Greatest Common Factor of 220,722,928 By Matching Biggest Common Factor Method

Factors of 220

List of positive integer factors of 220 that divides 220 without a remainder.

1,2,4,5,10,11,20,22,44,55,110,220

Factors of 722

List of positive integer factors of 722 that divides 722 without a remainder.

1,2,19,38,361,722

Factors of 928

List of positive integer factors of 928 that divides 928 without a remainder.

1,2,4,8,16,29,32,58,116,232,464,928

Greatest Common Factor

We found the factors 220,722,928 . The biggest common factor number is the GCF number.
So the greatest common factor 220,722,928 is 2.

Lets's calculate LCM of 759,960,822

2 759, 960, 822
3 759, 480, 411
253, 160, 137

∴ So the LCM of the given numbers is 2 x 3 x 253 x 160 x 137 = 33274560

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/33274560

Therefore, the GCF of Fractions 220/759,722/960,928/822 is 2/33274560

Least Common Multiple of 759,960,822 with GCF Formula

Least Common Multiple of 759,960,822 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 759,960,822 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(759,960,822) = 3

common factors(in case of two or more numbers have common factors) = 6

GCF(759,960,822) x common factors =3 x 6 = 18

LCM(759,960,822) = ( 759 × 960 × 822 ) / 18

LCM(759,960,822) = 598942080 / 18

LCM(759,960,822) = 33274560


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 220/759, 722/960, 928/822

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 220/759, 722/960, 928/822?

Answer: GCF of Numerators as per given numbers 220/759, 722/960, 928/822 is

GCF of Numerators i.e. for 220,722,928 is 2

LCM of denominators i.e. for 759,960,822 is 33274560.

Thus, GCF of Fractions is 2/33274560.Finally, GCF of Fractions for 220/759, 722/960, 928/822 is 2/33274560.