Greatest Common Factor of 250/56, 665/8404

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 250/56, 665/8404

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 250/56,665/8404

Given fractions are 250/56,665/8404

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 250,665

Greatest Common Factor of Numerators i.e. GCF of 250,665 is 5 .

LCM of Denominators means LCM of 56,8404 as per the given fractions.

LCM of 56,8404 is 117656 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 250,665

GCF of Fractions 250/56,665/8404 is 5/117656

5 250, 665
50, 133

∴ So the GCF of the given numbers is 5 = 5

Greatest Common Factor of 250,665 By Matching Biggest Common Factor Method

Greatest Common Factor of 250,665 By Matching Biggest Common Factor Method

Factors of 250

List of positive integer factors of 250 that divides 250 without a remainder.

1,2,5,10,25,50,125,250

Factors of 665

List of positive integer factors of 665 that divides 665 without a remainder.

1,5,7,19,35,95,133,665

Greatest Common Factor

We found the factors 250,665 . The biggest common factor number is the GCF number.
So the greatest common factor 250,665 is 5.

Lets's calculate LCM of 56,8404

2 56, 8404
2 28, 4202
14, 2101

∴ So the LCM of the given numbers is 2 x 2 x 14 x 2101 = 117656

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 5/117656

Therefore, the GCF of Fractions 250/56,665/8404 is 5/117656

Least Common Multiple of 56,8404 with GCF Formula

Least Common Multiple of 56,8404 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 56,8404 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(56,8404) = 4

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

GCF(56,8404) x common factors =4 x 1 = 4

LCM(56,8404) = ( 56 × 8404 ) / 4

LCM(56,8404) = 470624 / 4

LCM(56,8404) = 117656


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 250/56, 665/8404

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 250/56, 665/8404?

Answer: GCF of Numerators as per given numbers 250/56, 665/8404 is

GCF of Numerators i.e. for 250,665 is 5

LCM of denominators i.e. for 56,8404 is 117656.

Thus, GCF of Fractions is 5/117656.Finally, GCF of Fractions for 250/56, 665/8404 is 5/117656.