Greatest Common Factor of 8236/527, 9053/3431

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 8236/527, 9053/3431

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 8236/527,9053/3431

Given fractions are 8236/527,9053/3431

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 8236,9053

Greatest Common Factor of Numerators i.e. GCF of 8236,9053 is 1 .

LCM of Denominators means LCM of 527,3431 as per the given fractions.

LCM of 527,3431 is 1808137 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 8236,9053

GCF of Fractions 8236/527,9053/3431 is 1/1808137

∴ So GCF of numbers is 1 because of no common factors present between them.

Greatest Common Factor of 8236,9053 By Matching Biggest Common Factor Method

Greatest Common Factor of 8236,9053 By Matching Biggest Common Factor Method

Factors of 8236

List of positive integer factors of 8236 that divides 8236 without a remainder.

1,2,4,29,58,71,116,142,284,2059,4118,8236

Factors of 9053

List of positive integer factors of 9053 that divides 9053 without a remainder.

1,11,823,9053

Greatest Common Factor

We found the factors 8236,9053 . The biggest common factor number is the GCF number.
So the greatest common factor 8236,9053 is 1.

Lets's calculate LCM of 527,3431

Given numbers has no common factors except 1. So, there LCM is their product i.e 1808137

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1808137

Therefore, the GCF of Fractions 8236/527,9053/3431 is 1/1808137

Least Common Multiple of 527,3431 with GCF Formula

Least Common Multiple of 527,3431 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 527,3431 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(527,3431) = 1

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

GCF(527,3431) x common factors =1 x 1 = 1

LCM(527,3431) = ( 527 × 3431 ) / 1

LCM(527,3431) = 1808137 / 1

LCM(527,3431) = 1808137


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 8236/527, 9053/3431

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 8236/527, 9053/3431?

Answer: GCF of Numerators as per given numbers 8236/527, 9053/3431 is

GCF of Numerators i.e. for 8236,9053 is 1

LCM of denominators i.e. for 527,3431 is 1808137.

Thus, GCF of Fractions is 1/1808137.Finally, GCF of Fractions for 8236/527, 9053/3431 is 1/1808137.