Greatest Common Factor of 8914/200, 8914/310

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 8914/200, 8914/310

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 8914/200,8914/310

Given fractions are 8914/200,8914/310

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 8914,8914

Greatest Common Factor of Numerators i.e. GCF of 8914,8914 is 8914 .

LCM of Denominators means LCM of 200,310 as per the given fractions.

LCM of 200,310 is 6200 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 8914,8914

GCF of Fractions 8914/200,8914/310 is 8914/6200

2 8914, 8914
4457 4457, 4457
1, 1

∴ So the GCF of the given numbers is 2 x 4457 = 8914

Greatest Common Factor of 8914,8914 By Matching Biggest Common Factor Method

Greatest Common Factor of 8914,8914 By Matching Biggest Common Factor Method

Factors of 8914

List of positive integer factors of 8914 that divides 8914 without a remainder.

1,2,4457,8914

Factors of 8914

List of positive integer factors of 8914 that divides 8914 without a remainder.

1,2,4457,8914

Greatest Common Factor

We found the factors 8914,8914 . The biggest common factor number is the GCF number.
So the greatest common factor 8914,8914 is 8914.

Lets's calculate LCM of 200,310

2 200, 310
5 100, 155
20, 31

∴ So the LCM of the given numbers is 2 x 5 x 20 x 31 = 6200

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 8914/6200

Therefore, the GCF of Fractions 8914/200,8914/310 is 8914/6200

Least Common Multiple of 200,310 with GCF Formula

Least Common Multiple of 200,310 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 200,310 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(200,310) = 10

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

GCF(200,310) x common factors =10 x 1 = 10

LCM(200,310) = ( 200 × 310 ) / 10

LCM(200,310) = 62000 / 10

LCM(200,310) = 6200


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 8914/200, 8914/310

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 8914/200, 8914/310?

Answer: GCF of Numerators as per given numbers 8914/200, 8914/310 is

GCF of Numerators i.e. for 8914,8914 is 8914

LCM of denominators i.e. for 200,310 is 6200.

Thus, GCF of Fractions is 8914/6200.Finally, GCF of Fractions for 8914/200, 8914/310 is 8914/6200.