Greatest Common Factor of 4256/78, 8224/973

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 4256/78, 8224/973

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 4256/78,8224/973

Given fractions are 4256/78,8224/973

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 4256,8224

Greatest Common Factor of Numerators i.e. GCF of 4256,8224 is 32 .

LCM of Denominators means LCM of 78,973 as per the given fractions.

LCM of 78,973 is 75894 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 4256,8224

GCF of Fractions 4256/78,8224/973 is 32/75894

2 4256, 8224
2 2128, 4112
2 1064, 2056
2 532, 1028
2 266, 514
133, 257

∴ So the GCF of the given numbers is 2 x 2 x 2 x 2 x 2 = 32

Greatest Common Factor of 4256,8224 By Matching Biggest Common Factor Method

Greatest Common Factor of 4256,8224 By Matching Biggest Common Factor Method

Factors of 4256

List of positive integer factors of 4256 that divides 4256 without a remainder.

1,2,4,7,8,14,16,19,28,32,38,56,76,112,133,152,224,266,304,532,608,1064,2128,4256

Factors of 8224

List of positive integer factors of 8224 that divides 8224 without a remainder.

1,2,4,8,16,32,257,514,1028,2056,4112,8224

Greatest Common Factor

We found the factors 4256,8224 . The biggest common factor number is the GCF number.
So the greatest common factor 4256,8224 is 32.

Lets's calculate LCM of 78,973

Given numbers has no common factors except 1. So, there LCM is their product i.e 75894

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 32/75894

Therefore, the GCF of Fractions 4256/78,8224/973 is 32/75894

Least Common Multiple of 78,973 with GCF Formula

Least Common Multiple of 78,973 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 78,973 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(78,973) = 1

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

GCF(78,973) x common factors =1 x 1 = 1

LCM(78,973) = ( 78 × 973 ) / 1

LCM(78,973) = 75894 / 1

LCM(78,973) = 75894


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 4256/78, 8224/973

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 4256/78, 8224/973?

Answer: GCF of Numerators as per given numbers 4256/78, 8224/973 is

GCF of Numerators i.e. for 4256,8224 is 32

LCM of denominators i.e. for 78,973 is 75894.

Thus, GCF of Fractions is 32/75894.Finally, GCF of Fractions for 4256/78, 8224/973 is 32/75894.