Greatest Common Factor of 872/86, 744/807

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 872/86, 744/807

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 872/86,744/807

Given fractions are 872/86,744/807

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 872,744

Greatest Common Factor of Numerators i.e. GCF of 872,744 is 8 .

LCM of Denominators means LCM of 86,807 as per the given fractions.

LCM of 86,807 is 69402 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 872,744

GCF of Fractions 872/86,744/807 is 8/69402

2 872, 744
2 436, 372
2 218, 186
109, 93

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

Greatest Common Factor of 872,744 By Matching Biggest Common Factor Method

Greatest Common Factor of 872,744 By Matching Biggest Common Factor Method

Factors of 872

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

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

Factors of 744

List of positive integer factors of 744 that divides 744 without a remainder.

1,2,3,4,6,8,12,24,31,62,93,124,186,248,372,744

Greatest Common Factor

We found the factors 872,744 . The biggest common factor number is the GCF number.
So the greatest common factor 872,744 is 8.

Lets's calculate LCM of 86,807

Given numbers has no common factors except 1. So, there LCM is their product i.e 69402

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 8/69402

Therefore, the GCF of Fractions 872/86,744/807 is 8/69402

Least Common Multiple of 86,807 with GCF Formula

Least Common Multiple of 86,807 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 86,807 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(86,807) = 1

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

GCF(86,807) x common factors =1 x 1 = 1

LCM(86,807) = ( 86 × 807 ) / 1

LCM(86,807) = 69402 / 1

LCM(86,807) = 69402


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 872/86, 744/807

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 872/86, 744/807?

Answer: GCF of Numerators as per given numbers 872/86, 744/807 is

GCF of Numerators i.e. for 872,744 is 8

LCM of denominators i.e. for 86,807 is 69402.

Thus, GCF of Fractions is 8/69402.Finally, GCF of Fractions for 872/86, 744/807 is 8/69402.