Greatest Common Factor of 779/884, 232/940, 829/522

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 779/884, 232/940, 829/522

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 779/884,232/940,829/522

Given fractions are 779/884,232/940,829/522

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 779,232,829

Greatest Common Factor of Numerators i.e. GCF of 779,232,829 is 1 .

LCM of Denominators means LCM of 884,940,522 as per the given fractions.

LCM of 884,940,522 is 54220140 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 779,232,829

GCF of Fractions 779/884,232/940,829/522 is 1/54220140

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

Greatest Common Factor of 779,232,829 By Matching Biggest Common Factor Method

Greatest Common Factor of 779,232,829 By Matching Biggest Common Factor Method

Factors of 779

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

1,19,41,779

Factors of 232

List of positive integer factors of 232 that divides 232 without a remainder.

1,2,4,8,29,58,116,232

Factors of 829

List of positive integer factors of 829 that divides 829 without a remainder.

1,829

Greatest Common Factor

We found the factors 779,232,829 . The biggest common factor number is the GCF number.
So the greatest common factor 779,232,829 is 1.

Lets's calculate LCM of 884,940,522

2 884, 940, 522
2 442, 470, 261
221, 235, 261

∴ So the LCM of the given numbers is 2 x 2 x 221 x 235 x 261 = 54220140

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/54220140

Therefore, the GCF of Fractions 779/884,232/940,829/522 is 1/54220140

Least Common Multiple of 884,940,522 with GCF Formula

Least Common Multiple of 884,940,522 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 884,940,522 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(884,940,522) = 2

common factors(in case of two or more numbers have common factors) = 4

GCF(884,940,522) x common factors =2 x 4 = 8

LCM(884,940,522) = ( 884 × 940 × 522 ) / 8

LCM(884,940,522) = 433761120 / 8

LCM(884,940,522) = 54220140


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 779/884, 232/940, 829/522

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 779/884, 232/940, 829/522?

Answer: GCF of Numerators as per given numbers 779/884, 232/940, 829/522 is

GCF of Numerators i.e. for 779,232,829 is 1

LCM of denominators i.e. for 884,940,522 is 54220140.

Thus, GCF of Fractions is 1/54220140.Finally, GCF of Fractions for 779/884, 232/940, 829/522 is 1/54220140.