Greatest Common Factor of 847/45, 715/3707

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 847/45, 715/3707

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 847/45,715/3707

Given fractions are 847/45,715/3707

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 847,715

Greatest Common Factor of Numerators i.e. GCF of 847,715 is 11 .

LCM of Denominators means LCM of 45,3707 as per the given fractions.

LCM of 45,3707 is 166815 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 847,715

GCF of Fractions 847/45,715/3707 is 11/166815

11 847, 715
77, 65

∴ So the GCF of the given numbers is 11 = 11

Greatest Common Factor of 847,715 By Matching Biggest Common Factor Method

Greatest Common Factor of 847,715 By Matching Biggest Common Factor Method

Factors of 847

List of positive integer factors of 847 that divides 847 without a remainder.

1,7,11,77,121,847

Factors of 715

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

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

Greatest Common Factor

We found the factors 847,715 . The biggest common factor number is the GCF number.
So the greatest common factor 847,715 is 11.

Lets's calculate LCM of 45,3707

Given numbers has no common factors except 1. So, there LCM is their product i.e 166815

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 11/166815

Therefore, the GCF of Fractions 847/45,715/3707 is 11/166815

Least Common Multiple of 45,3707 with GCF Formula

Least Common Multiple of 45,3707 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 45,3707 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(45,3707) = 1

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

GCF(45,3707) x common factors =1 x 1 = 1

LCM(45,3707) = ( 45 × 3707 ) / 1

LCM(45,3707) = 166815 / 1

LCM(45,3707) = 166815


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 847/45, 715/3707

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 847/45, 715/3707?

Answer: GCF of Numerators as per given numbers 847/45, 715/3707 is

GCF of Numerators i.e. for 847,715 is 11

LCM of denominators i.e. for 45,3707 is 166815.

Thus, GCF of Fractions is 11/166815.Finally, GCF of Fractions for 847/45, 715/3707 is 11/166815.