Greatest Common Factor of 236/707, 3128/8313

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 236/707, 3128/8313

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 236/707,3128/8313

Given fractions are 236/707,3128/8313

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 236,3128

Greatest Common Factor of Numerators i.e. GCF of 236,3128 is 4 .

LCM of Denominators means LCM of 707,8313 as per the given fractions.

LCM of 707,8313 is 5877291 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 236,3128

GCF of Fractions 236/707,3128/8313 is 4/5877291

2 236, 3128
2 118, 1564
59, 782

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

Greatest Common Factor of 236,3128 By Matching Biggest Common Factor Method

Greatest Common Factor of 236,3128 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 3128

List of positive integer factors of 3128 that divides 3128 without a remainder.

1,2,4,8,17,23,34,46,68,92,136,184,391,782,1564,3128

Greatest Common Factor

We found the factors 236,3128 . The biggest common factor number is the GCF number.
So the greatest common factor 236,3128 is 4.

Lets's calculate LCM of 707,8313

Given numbers has no common factors except 1. So, there LCM is their product i.e 5877291

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/5877291

Therefore, the GCF of Fractions 236/707,3128/8313 is 4/5877291

Least Common Multiple of 707,8313 with GCF Formula

Least Common Multiple of 707,8313 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 707,8313 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(707,8313) = 1

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

GCF(707,8313) x common factors =1 x 1 = 1

LCM(707,8313) = ( 707 × 8313 ) / 1

LCM(707,8313) = 5877291 / 1

LCM(707,8313) = 5877291


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 236/707, 3128/8313

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 236/707, 3128/8313?

Answer: GCF of Numerators as per given numbers 236/707, 3128/8313 is

GCF of Numerators i.e. for 236,3128 is 4

LCM of denominators i.e. for 707,8313 is 5877291.

Thus, GCF of Fractions is 4/5877291.Finally, GCF of Fractions for 236/707, 3128/8313 is 4/5877291.