Greatest Common Factor of 715/348, 9264/1632

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 715/348, 9264/1632

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 715/348,9264/1632

Given fractions are 715/348,9264/1632

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 715,9264

Greatest Common Factor of Numerators i.e. GCF of 715,9264 is 1 .

LCM of Denominators means LCM of 348,1632 as per the given fractions.

LCM of 348,1632 is 47328 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 715,9264

GCF of Fractions 715/348,9264/1632 is 1/47328

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

Greatest Common Factor of 715,9264 By Matching Biggest Common Factor Method

Greatest Common Factor of 715,9264 By Matching Biggest Common Factor Method

Factors of 715

List of positive integer factors of 715 that divides 715 without a remainder.

1,5,11,13,55,65,143,715

Factors of 9264

List of positive integer factors of 9264 that divides 9264 without a remainder.

1,2,3,4,6,8,12,16,24,48,193,386,579,772,1158,1544,2316,3088,4632,9264

Greatest Common Factor

We found the factors 715,9264 . The biggest common factor number is the GCF number.
So the greatest common factor 715,9264 is 1.

Lets's calculate LCM of 348,1632

2 348, 1632
2 174, 816
3 87, 408
29, 136

∴ So the LCM of the given numbers is 2 x 2 x 3 x 29 x 136 = 47328

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/47328

Therefore, the GCF of Fractions 715/348,9264/1632 is 1/47328

Least Common Multiple of 348,1632 with GCF Formula

Least Common Multiple of 348,1632 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 348,1632 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(348,1632) = 12

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

GCF(348,1632) x common factors =12 x 1 = 12

LCM(348,1632) = ( 348 × 1632 ) / 12

LCM(348,1632) = 567936 / 12

LCM(348,1632) = 47328


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 715/348, 9264/1632

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 715/348, 9264/1632?

Answer: GCF of Numerators as per given numbers 715/348, 9264/1632 is

GCF of Numerators i.e. for 715,9264 is 1

LCM of denominators i.e. for 348,1632 is 47328.

Thus, GCF of Fractions is 1/47328.Finally, GCF of Fractions for 715/348, 9264/1632 is 1/47328.