Greatest Common Factor of 236/299, 8076/554

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 236/299, 8076/554

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 236/299,8076/554

Given fractions are 236/299,8076/554

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 236,8076

Greatest Common Factor of Numerators i.e. GCF of 236,8076 is 4 .

LCM of Denominators means LCM of 299,554 as per the given fractions.

LCM of 299,554 is 165646 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 236,8076

GCF of Fractions 236/299,8076/554 is 4/165646

2 236, 8076
2 118, 4038
59, 2019

∴ So the GCF of the given numbers is 2 x 2 = 4

Greatest Common Factor of 236,8076 By Matching Biggest Common Factor Method

Greatest Common Factor of 236,8076 By Matching Biggest Common Factor Method

Factors of 236

List of positive integer factors of 236 that divides 236 without a remainder.

1,2,4,59,118,236

Factors of 8076

List of positive integer factors of 8076 that divides 8076 without a remainder.

1,2,3,4,6,12,673,1346,2019,2692,4038,8076

Greatest Common Factor

We found the factors 236,8076 . The biggest common factor number is the GCF number.
So the greatest common factor 236,8076 is 4.

Lets's calculate LCM of 299,554

Given numbers has no common factors except 1. So, there LCM is their product i.e 165646

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/165646

Therefore, the GCF of Fractions 236/299,8076/554 is 4/165646

Least Common Multiple of 299,554 with GCF Formula

Least Common Multiple of 299,554 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 299,554 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(299,554) = 1

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

GCF(299,554) x common factors =1 x 1 = 1

LCM(299,554) = ( 299 × 554 ) / 1

LCM(299,554) = 165646 / 1

LCM(299,554) = 165646


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 236/299, 8076/554

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 236/299, 8076/554?

Answer: GCF of Numerators as per given numbers 236/299, 8076/554 is

GCF of Numerators i.e. for 236,8076 is 4

LCM of denominators i.e. for 299,554 is 165646.

Thus, GCF of Fractions is 4/165646.Finally, GCF of Fractions for 236/299, 8076/554 is 4/165646.