Greatest Common Factor of 8907/58, 1452/735

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 8907/58, 1452/735

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 8907/58,1452/735

Given fractions are 8907/58,1452/735

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 8907,1452

Greatest Common Factor of Numerators i.e. GCF of 8907,1452 is 3 .

LCM of Denominators means LCM of 58,735 as per the given fractions.

LCM of 58,735 is 42630 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 8907,1452

GCF of Fractions 8907/58,1452/735 is 3/42630

3 8907, 1452
2969, 484

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

Greatest Common Factor of 8907,1452 By Matching Biggest Common Factor Method

Greatest Common Factor of 8907,1452 By Matching Biggest Common Factor Method

Factors of 8907

List of positive integer factors of 8907 that divides 8907 without a remainder.

1,3,2969,8907

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 8907,1452 . The biggest common factor number is the GCF number.
So the greatest common factor 8907,1452 is 3.

Lets's calculate LCM of 58,735

Given numbers has no common factors except 1. So, there LCM is their product i.e 42630

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/42630

Therefore, the GCF of Fractions 8907/58,1452/735 is 3/42630

Least Common Multiple of 58,735 with GCF Formula

Least Common Multiple of 58,735 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 58,735 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(58,735) = 1

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

GCF(58,735) x common factors =1 x 1 = 1

LCM(58,735) = ( 58 × 735 ) / 1

LCM(58,735) = 42630 / 1

LCM(58,735) = 42630


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 8907/58, 1452/735

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 8907/58, 1452/735?

Answer: GCF of Numerators as per given numbers 8907/58, 1452/735 is

GCF of Numerators i.e. for 8907,1452 is 3

LCM of denominators i.e. for 58,735 is 42630.

Thus, GCF of Fractions is 3/42630.Finally, GCF of Fractions for 8907/58, 1452/735 is 3/42630.