Greatest Common Factor of 8127/153, 1452/706

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 8127/153, 1452/706

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 8127/153,1452/706

Given fractions are 8127/153,1452/706

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 8127,1452

Greatest Common Factor of Numerators i.e. GCF of 8127,1452 is 3 .

LCM of Denominators means LCM of 153,706 as per the given fractions.

LCM of 153,706 is 108018 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 8127,1452

GCF of Fractions 8127/153,1452/706 is 3/108018

3 8127, 1452
2709, 484

∴ So the GCF of the given numbers is 3 = 3

Greatest Common Factor of 8127,1452 By Matching Biggest Common Factor Method

Greatest Common Factor of 8127,1452 By Matching Biggest Common Factor Method

Factors of 8127

List of positive integer factors of 8127 that divides 8127 without a remainder.

1,3,7,9,21,27,43,63,129,189,301,387,903,1161,2709,8127

Factors of 1452

List of positive integer factors of 1452 that divides 1452 without a remainder.

1,2,3,4,6,11,12,22,33,44,66,121,132,242,363,484,726,1452

Greatest Common Factor

We found the factors 8127,1452 . The biggest common factor number is the GCF number.
So the greatest common factor 8127,1452 is 3.

Lets's calculate LCM of 153,706

Given numbers has no common factors except 1. So, there LCM is their product i.e 108018

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/108018

Therefore, the GCF of Fractions 8127/153,1452/706 is 3/108018

Least Common Multiple of 153,706 with GCF Formula

Least Common Multiple of 153,706 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 153,706 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(153,706) = 1

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

GCF(153,706) x common factors =1 x 1 = 1

LCM(153,706) = ( 153 × 706 ) / 1

LCM(153,706) = 108018 / 1

LCM(153,706) = 108018


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 8127/153, 1452/706

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 8127/153, 1452/706?

Answer: GCF of Numerators as per given numbers 8127/153, 1452/706 is

GCF of Numerators i.e. for 8127,1452 is 3

LCM of denominators i.e. for 153,706 is 108018.

Thus, GCF of Fractions is 3/108018.Finally, GCF of Fractions for 8127/153, 1452/706 is 3/108018.