Greatest Common Factor of 8750/736, 6564/2429

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 8750/736, 6564/2429

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 8750/736,6564/2429

Given fractions are 8750/736,6564/2429

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 8750,6564

Greatest Common Factor of Numerators i.e. GCF of 8750,6564 is 2 .

LCM of Denominators means LCM of 736,2429 as per the given fractions.

LCM of 736,2429 is 1787744 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 8750,6564

GCF of Fractions 8750/736,6564/2429 is 2/1787744

2 8750, 6564
4375, 3282

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

Greatest Common Factor of 8750,6564 By Matching Biggest Common Factor Method

Greatest Common Factor of 8750,6564 By Matching Biggest Common Factor Method

Factors of 8750

List of positive integer factors of 8750 that divides 8750 without a remainder.

1,2,5,7,10,14,25,35,50,70,125,175,250,350,625,875,1250,1750,4375,8750

Factors of 6564

List of positive integer factors of 6564 that divides 6564 without a remainder.

1,2,3,4,6,12,547,1094,1641,2188,3282,6564

Greatest Common Factor

We found the factors 8750,6564 . The biggest common factor number is the GCF number.
So the greatest common factor 8750,6564 is 2.

Lets's calculate LCM of 736,2429

Given numbers has no common factors except 1. So, there LCM is their product i.e 1787744

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/1787744

Therefore, the GCF of Fractions 8750/736,6564/2429 is 2/1787744

Least Common Multiple of 736,2429 with GCF Formula

Least Common Multiple of 736,2429 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 736,2429 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(736,2429) = 1

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

GCF(736,2429) x common factors =1 x 1 = 1

LCM(736,2429) = ( 736 × 2429 ) / 1

LCM(736,2429) = 1787744 / 1

LCM(736,2429) = 1787744


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 8750/736, 6564/2429

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 8750/736, 6564/2429?

Answer: GCF of Numerators as per given numbers 8750/736, 6564/2429 is

GCF of Numerators i.e. for 8750,6564 is 2

LCM of denominators i.e. for 736,2429 is 1787744.

Thus, GCF of Fractions is 2/1787744.Finally, GCF of Fractions for 8750/736, 6564/2429 is 2/1787744.