Greatest Common Factor of 822/75, 772/65, 779/288

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 822/75, 772/65, 779/288

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 822/75,772/65,779/288

Given fractions are 822/75,772/65,779/288

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 822,772,779

Greatest Common Factor of Numerators i.e. GCF of 822,772,779 is 1 .

LCM of Denominators means LCM of 75,65,288 as per the given fractions.

LCM of 75,65,288 is 93600 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 822,772,779

GCF of Fractions 822/75,772/65,779/288 is 1/93600

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

Greatest Common Factor of 822,772,779 By Matching Biggest Common Factor Method

Greatest Common Factor of 822,772,779 By Matching Biggest Common Factor Method

Factors of 822

List of positive integer factors of 822 that divides 822 without a remainder.

1,2,3,6,137,274,411,822

Factors of 772

List of positive integer factors of 772 that divides 772 without a remainder.

1,2,4,193,386,772

Factors of 779

List of positive integer factors of 779 that divides 779 without a remainder.

1,19,41,779

Greatest Common Factor

We found the factors 822,772,779 . The biggest common factor number is the GCF number.
So the greatest common factor 822,772,779 is 1.

Lets's calculate LCM of 75,65,288

3 75, 65, 288
5 25, 65, 96
5, 13, 96

∴ So the LCM of the given numbers is 3 x 5 x 5 x 13 x 96 = 93600

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/93600

Therefore, the GCF of Fractions 822/75,772/65,779/288 is 1/93600

Least Common Multiple of 75,65,288 with GCF Formula

Least Common Multiple of 75,65,288 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 75,65,288 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(75,65,288) = 1

common factors(in case of two or more numbers have common factors) = 15

GCF(75,65,288) x common factors =1 x 15 = 15

LCM(75,65,288) = ( 75 × 65 × 288 ) / 15

LCM(75,65,288) = 1404000 / 15

LCM(75,65,288) = 93600


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 822/75, 772/65, 779/288

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 822/75, 772/65, 779/288?

Answer: GCF of Numerators as per given numbers 822/75, 772/65, 779/288 is

GCF of Numerators i.e. for 822,772,779 is 1

LCM of denominators i.e. for 75,65,288 is 93600.

Thus, GCF of Fractions is 1/93600.Finally, GCF of Fractions for 822/75, 772/65, 779/288 is 1/93600.