Greatest Common Factor of 690/884, 872/276

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 690/884, 872/276

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 690/884,872/276

Given fractions are 690/884,872/276

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 690,872

Greatest Common Factor of Numerators i.e. GCF of 690,872 is 2 .

LCM of Denominators means LCM of 884,276 as per the given fractions.

LCM of 884,276 is 60996 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 690,872

GCF of Fractions 690/884,872/276 is 2/60996

2 690, 872
345, 436

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

Greatest Common Factor of 690,872 By Matching Biggest Common Factor Method

Greatest Common Factor of 690,872 By Matching Biggest Common Factor Method

Factors of 690

List of positive integer factors of 690 that divides 690 without a remainder.

1,2,3,5,6,10,15,23,30,46,69,115,138,230,345,690

Factors of 872

List of positive integer factors of 872 that divides 872 without a remainder.

1,2,4,8,109,218,436,872

Greatest Common Factor

We found the factors 690,872 . The biggest common factor number is the GCF number.
So the greatest common factor 690,872 is 2.

Lets's calculate LCM of 884,276

2 884, 276
2 442, 138
221, 69

∴ So the LCM of the given numbers is 2 x 2 x 221 x 69 = 60996

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/60996

Therefore, the GCF of Fractions 690/884,872/276 is 2/60996

Least Common Multiple of 884,276 with GCF Formula

Least Common Multiple of 884,276 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 884,276 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(884,276) = 4

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

GCF(884,276) x common factors =4 x 1 = 4

LCM(884,276) = ( 884 × 276 ) / 4

LCM(884,276) = 243984 / 4

LCM(884,276) = 60996


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 690/884, 872/276

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 690/884, 872/276?

Answer: GCF of Numerators as per given numbers 690/884, 872/276 is

GCF of Numerators i.e. for 690,872 is 2

LCM of denominators i.e. for 884,276 is 60996.

Thus, GCF of Fractions is 2/60996.Finally, GCF of Fractions for 690/884, 872/276 is 2/60996.