Greatest Common Factor of 969/822, 917/883, 524/442

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 969/822, 917/883, 524/442

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 969/822,917/883,524/442

Given fractions are 969/822,917/883,524/442

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 969,917,524

Greatest Common Factor of Numerators i.e. GCF of 969,917,524 is 1 .

LCM of Denominators means LCM of 822,883,442 as per the given fractions.

LCM of 822,883,442 is 160407546 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 969,917,524

GCF of Fractions 969/822,917/883,524/442 is 1/160407546

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

Greatest Common Factor of 969,917,524 By Matching Biggest Common Factor Method

Greatest Common Factor of 969,917,524 By Matching Biggest Common Factor Method

Factors of 969

List of positive integer factors of 969 that divides 969 without a remainder.

1,3,17,19,51,57,323,969

Factors of 917

List of positive integer factors of 917 that divides 917 without a remainder.

1,7,131,917

Factors of 524

List of positive integer factors of 524 that divides 524 without a remainder.

1,2,4,131,262,524

Greatest Common Factor

We found the factors 969,917,524 . The biggest common factor number is the GCF number.
So the greatest common factor 969,917,524 is 1.

Lets's calculate LCM of 822,883,442

2 822, 883, 442
411, 883, 221

∴ So the LCM of the given numbers is 2 x 411 x 883 x 221 = 160407546

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/160407546

Therefore, the GCF of Fractions 969/822,917/883,524/442 is 1/160407546

Least Common Multiple of 822,883,442 with GCF Formula

Least Common Multiple of 822,883,442 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 822,883,442 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(822,883,442) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(822,883,442) x common factors =1 x 2 = 2

LCM(822,883,442) = ( 822 × 883 × 442 ) / 2

LCM(822,883,442) = 320815092 / 2

LCM(822,883,442) = 160407546


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 969/822, 917/883, 524/442

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 969/822, 917/883, 524/442?

Answer: GCF of Numerators as per given numbers 969/822, 917/883, 524/442 is

GCF of Numerators i.e. for 969,917,524 is 1

LCM of denominators i.e. for 822,883,442 is 160407546.

Thus, GCF of Fractions is 1/160407546.Finally, GCF of Fractions for 969/822, 917/883, 524/442 is 1/160407546.