Greatest Common Factor of 776/87, 224/717

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 776/87, 224/717

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 776/87,224/717

Given fractions are 776/87,224/717

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 776,224

Greatest Common Factor of Numerators i.e. GCF of 776,224 is 8 .

LCM of Denominators means LCM of 87,717 as per the given fractions.

LCM of 87,717 is 20793 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 776,224

GCF of Fractions 776/87,224/717 is 8/20793

2 776, 224
2 388, 112
2 194, 56
97, 28

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

Greatest Common Factor of 776,224 By Matching Biggest Common Factor Method

Greatest Common Factor of 776,224 By Matching Biggest Common Factor Method

Factors of 776

List of positive integer factors of 776 that divides 776 without a remainder.

1,2,4,8,97,194,388,776

Factors of 224

List of positive integer factors of 224 that divides 224 without a remainder.

1,2,4,7,8,14,16,28,32,56,112,224

Greatest Common Factor

We found the factors 776,224 . The biggest common factor number is the GCF number.
So the greatest common factor 776,224 is 8.

Lets's calculate LCM of 87,717

3 87, 717
29, 239

∴ So the LCM of the given numbers is 3 x 29 x 239 = 20793

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 8/20793

Therefore, the GCF of Fractions 776/87,224/717 is 8/20793

Least Common Multiple of 87,717 with GCF Formula

Least Common Multiple of 87,717 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 87,717 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(87,717) = 3

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

GCF(87,717) x common factors =3 x 1 = 3

LCM(87,717) = ( 87 × 717 ) / 3

LCM(87,717) = 62379 / 3

LCM(87,717) = 20793


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 776/87, 224/717

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 776/87, 224/717?

Answer: GCF of Numerators as per given numbers 776/87, 224/717 is

GCF of Numerators i.e. for 776,224 is 8

LCM of denominators i.e. for 87,717 is 20793.

Thus, GCF of Fractions is 8/20793.Finally, GCF of Fractions for 776/87, 224/717 is 8/20793.