Greatest Common Factor of 44/87, 77/43, 715/110

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 44/87, 77/43, 715/110

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 44/87,77/43,715/110

Given fractions are 44/87,77/43,715/110

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 44,77,715

Greatest Common Factor of Numerators i.e. GCF of 44,77,715 is 11 .

LCM of Denominators means LCM of 87,43,110 as per the given fractions.

LCM of 87,43,110 is 411510 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 44,77,715

GCF of Fractions 44/87,77/43,715/110 is 11/411510

11 44, 77, 715
4, 7, 65

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

Greatest Common Factor of 44,77,715 By Matching Biggest Common Factor Method

Greatest Common Factor of 44,77,715 By Matching Biggest Common Factor Method

Factors of 44

List of positive integer factors of 44 that divides 44 without a remainder.

1,2,4,11,22,44

Factors of 77

List of positive integer factors of 77 that divides 77 without a remainder.

1,7,11,77

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 44,77,715 . The biggest common factor number is the GCF number.
So the greatest common factor 44,77,715 is 11.

Lets's calculate LCM of 87,43,110

Given numbers has no common factors except 1. So, there LCM is their product i.e 411510

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 11/411510

Therefore, the GCF of Fractions 44/87,77/43,715/110 is 11/411510

Least Common Multiple of 87,43,110 with GCF Formula

Least Common Multiple of 87,43,110 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 87,43,110 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(87,43,110) = 1

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

GCF(87,43,110) x common factors =1 x 1 = 1

LCM(87,43,110) = ( 87 × 43 × 110 ) / 1

LCM(87,43,110) = 411510 / 1

LCM(87,43,110) = 411510


GCF of Fractions Calculation Examples

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GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

Frequently Asked Questions on Fractional GCF of 44/87, 77/43, 715/110

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 44/87, 77/43, 715/110?

Answer: GCF of Numerators as per given numbers 44/87, 77/43, 715/110 is

GCF of Numerators i.e. for 44,77,715 is 11

LCM of denominators i.e. for 87,43,110 is 411510.

Thus, GCF of Fractions is 11/411510.Finally, GCF of Fractions for 44/87, 77/43, 715/110 is 11/411510.