Greatest Common Factor of 584/824, 2976/1716

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 584/824, 2976/1716

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 584/824,2976/1716

Given fractions are 584/824,2976/1716

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 584,2976

Greatest Common Factor of Numerators i.e. GCF of 584,2976 is 8 .

LCM of Denominators means LCM of 824,1716 as per the given fractions.

LCM of 824,1716 is 353496 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 584,2976

GCF of Fractions 584/824,2976/1716 is 8/353496

2 584, 2976
2 292, 1488
2 146, 744
73, 372

∴ So the GCF of the given numbers is 2 x 2 x 2 = 8

Greatest Common Factor of 584,2976 By Matching Biggest Common Factor Method

Greatest Common Factor of 584,2976 By Matching Biggest Common Factor Method

Factors of 584

List of positive integer factors of 584 that divides 584 without a remainder.

1,2,4,8,73,146,292,584

Factors of 2976

List of positive integer factors of 2976 that divides 2976 without a remainder.

1,2,3,4,6,8,12,16,24,31,32,48,62,93,96,124,186,248,372,496,744,992,1488,2976

Greatest Common Factor

We found the factors 584,2976 . The biggest common factor number is the GCF number.
So the greatest common factor 584,2976 is 8.

Lets's calculate LCM of 824,1716

2 824, 1716
2 412, 858
206, 429

∴ So the LCM of the given numbers is 2 x 2 x 206 x 429 = 353496

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 8/353496

Therefore, the GCF of Fractions 584/824,2976/1716 is 8/353496

Least Common Multiple of 824,1716 with GCF Formula

Least Common Multiple of 824,1716 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 824,1716 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(824,1716) = 4

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

GCF(824,1716) x common factors =4 x 1 = 4

LCM(824,1716) = ( 824 × 1716 ) / 4

LCM(824,1716) = 1413984 / 4

LCM(824,1716) = 353496


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 584/824, 2976/1716

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 584/824, 2976/1716?

Answer: GCF of Numerators as per given numbers 584/824, 2976/1716 is

GCF of Numerators i.e. for 584,2976 is 8

LCM of denominators i.e. for 824,1716 is 353496.

Thus, GCF of Fractions is 8/353496.Finally, GCF of Fractions for 584/824, 2976/1716 is 8/353496.