Greatest Common Factor of 4256/625, 4734/8632

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 4256/625, 4734/8632

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 4256/625,4734/8632

Given fractions are 4256/625,4734/8632

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 4256,4734

Greatest Common Factor of Numerators i.e. GCF of 4256,4734 is 2 .

LCM of Denominators means LCM of 625,8632 as per the given fractions.

LCM of 625,8632 is 5395000 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 4256,4734

GCF of Fractions 4256/625,4734/8632 is 2/5395000

2 4256, 4734
2128, 2367

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

Greatest Common Factor of 4256,4734 By Matching Biggest Common Factor Method

Greatest Common Factor of 4256,4734 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 4734

List of positive integer factors of 4734 that divides 4734 without a remainder.

1,2,3,6,9,18,263,526,789,1578,2367,4734

Greatest Common Factor

We found the factors 4256,4734 . The biggest common factor number is the GCF number.
So the greatest common factor 4256,4734 is 2.

Lets's calculate LCM of 625,8632

Given numbers has no common factors except 1. So, there LCM is their product i.e 5395000

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/5395000

Therefore, the GCF of Fractions 4256/625,4734/8632 is 2/5395000

Least Common Multiple of 625,8632 with GCF Formula

Least Common Multiple of 625,8632 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 625,8632 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(625,8632) = 1

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

GCF(625,8632) x common factors =1 x 1 = 1

LCM(625,8632) = ( 625 × 8632 ) / 1

LCM(625,8632) = 5395000 / 1

LCM(625,8632) = 5395000


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 4256/625, 4734/8632

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 4256/625, 4734/8632?

Answer: GCF of Numerators as per given numbers 4256/625, 4734/8632 is

GCF of Numerators i.e. for 4256,4734 is 2

LCM of denominators i.e. for 625,8632 is 5395000.

Thus, GCF of Fractions is 2/5395000.Finally, GCF of Fractions for 4256/625, 4734/8632 is 2/5395000.