Greatest Common Factor of 8653/344, 3782/153

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 8653/344, 3782/153

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 8653/344,3782/153

Given fractions are 8653/344,3782/153

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 8653,3782

Greatest Common Factor of Numerators i.e. GCF of 8653,3782 is 1 .

LCM of Denominators means LCM of 344,153 as per the given fractions.

LCM of 344,153 is 52632 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 8653,3782

GCF of Fractions 8653/344,3782/153 is 1/52632

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

Greatest Common Factor of 8653,3782 By Matching Biggest Common Factor Method

Greatest Common Factor of 8653,3782 By Matching Biggest Common Factor Method

Factors of 8653

List of positive integer factors of 8653 that divides 8653 without a remainder.

1,17,509,8653

Factors of 3782

List of positive integer factors of 3782 that divides 3782 without a remainder.

1,2,31,61,62,122,1891,3782

Greatest Common Factor

We found the factors 8653,3782 . The biggest common factor number is the GCF number.
So the greatest common factor 8653,3782 is 1.

Lets's calculate LCM of 344,153

Given numbers has no common factors except 1. So, there LCM is their product i.e 52632

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/52632

Therefore, the GCF of Fractions 8653/344,3782/153 is 1/52632

Least Common Multiple of 344,153 with GCF Formula

Least Common Multiple of 344,153 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 344,153 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(344,153) = 1

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

GCF(344,153) x common factors =1 x 1 = 1

LCM(344,153) = ( 344 × 153 ) / 1

LCM(344,153) = 52632 / 1

LCM(344,153) = 52632


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 8653/344, 3782/153

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 8653/344, 3782/153?

Answer: GCF of Numerators as per given numbers 8653/344, 3782/153 is

GCF of Numerators i.e. for 8653,3782 is 1

LCM of denominators i.e. for 344,153 is 52632.

Thus, GCF of Fractions is 1/52632.Finally, GCF of Fractions for 8653/344, 3782/153 is 1/52632.