Greatest Common Factor of 42/75, 56/92, 784/709

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 42/75, 56/92, 784/709

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 42/75,56/92,784/709

Given fractions are 42/75,56/92,784/709

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 42,56,784

Greatest Common Factor of Numerators i.e. GCF of 42,56,784 is 14 .

LCM of Denominators means LCM of 75,92,709 as per the given fractions.

LCM of 75,92,709 is 4892100 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 42,56,784

GCF of Fractions 42/75,56/92,784/709 is 14/4892100

2 42, 56, 784
7 21, 28, 392
3, 4, 56

∴ So the GCF of the given numbers is 2 x 7 = 14

Greatest Common Factor of 42,56,784 By Matching Biggest Common Factor Method

Greatest Common Factor of 42,56,784 By Matching Biggest Common Factor Method

Factors of 42

List of positive integer factors of 42 that divides 42 without a remainder.

1,2,3,6,7,14,21,42

Factors of 56

List of positive integer factors of 56 that divides 56 without a remainder.

1,2,4,7,8,14,28,56

Factors of 784

List of positive integer factors of 784 that divides 784 without a remainder.

1,2,4,7,8,14,16,28,49,56,98,112,196,392,784

Greatest Common Factor

We found the factors 42,56,784 . The biggest common factor number is the GCF number.
So the greatest common factor 42,56,784 is 14.

Lets's calculate LCM of 75,92,709

Given numbers has no common factors except 1. So, there LCM is their product i.e 4892100

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 14/4892100

Therefore, the GCF of Fractions 42/75,56/92,784/709 is 14/4892100

Least Common Multiple of 75,92,709 with GCF Formula

Least Common Multiple of 75,92,709 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 75,92,709 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(75,92,709) = 1

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

GCF(75,92,709) x common factors =1 x 1 = 1

LCM(75,92,709) = ( 75 × 92 × 709 ) / 1

LCM(75,92,709) = 4892100 / 1

LCM(75,92,709) = 4892100


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 42/75, 56/92, 784/709

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 42/75, 56/92, 784/709?

Answer: GCF of Numerators as per given numbers 42/75, 56/92, 784/709 is

GCF of Numerators i.e. for 42,56,784 is 14

LCM of denominators i.e. for 75,92,709 is 4892100.

Thus, GCF of Fractions is 14/4892100.Finally, GCF of Fractions for 42/75, 56/92, 784/709 is 14/4892100.