Greatest Common Factor of 7/56, 28/70, 98/744, 438/601

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 7/56, 28/70, 98/744, 438/601

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 7/56,28/70,98/744,438/601

Given fractions are 7/56,28/70,98/744,438/601

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 7,28,98,438

Greatest Common Factor of Numerators i.e. GCF of 7,28,98,438 is 1 .

LCM of Denominators means LCM of 56,70,744,601 as per the given fractions.

LCM of 56,70,744,601 is 15650040 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 7,28,98,438

GCF of Fractions 7/56,28/70,98/744,438/601 is 1/15650040

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

Greatest Common Factor of 7,28,98,438 By Matching Biggest Common Factor Method

Greatest Common Factor of 7,28,98,438 By Matching Biggest Common Factor Method

Factors of 7

List of positive integer factors of 7 that divides 7 without a remainder.

1,7

Factors of 28

List of positive integer factors of 28 that divides 28 without a remainder.

1,2,4,7,14,28

Factors of 98

List of positive integer factors of 98 that divides 98 without a remainder.

1,2,7,14,49,98

Factors of 438

List of positive integer factors of 438 that divides 438 without a remainder.

1,2,3,6,73,146,219,438

Greatest Common Factor

We found the factors 7,28,98,438 . The biggest common factor number is the GCF number.
So the greatest common factor 7,28,98,438 is 1.

Lets's calculate LCM of 56,70,744,601

2 56, 70, 744, 601
2 28, 35, 372, 601
2 14, 35, 186, 601
7 7, 35, 93, 601
1, 5, 93, 601

∴ So the LCM of the given numbers is 2 x 2 x 2 x 7 x 1 x 5 x 93 x 601 = 15650040

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/15650040

Therefore, the GCF of Fractions 7/56,28/70,98/744,438/601 is 1/15650040

Least Common Multiple of 56,70,744,601 with GCF Formula

Least Common Multiple of 56,70,744,601 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 56,70,744,601 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(56,70,744,601) = 1

common factors(in case of two or more numbers have common factors) = 112

GCF(56,70,744,601) x common factors =1 x 112 = 112

LCM(56,70,744,601) = ( 56 × 70 × 744 × 601 ) / 112

LCM(56,70,744,601) = 1752804480 / 112

LCM(56,70,744,601) = 15650040


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 7/56, 28/70, 98/744, 438/601

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 7/56, 28/70, 98/744, 438/601?

Answer: GCF of Numerators as per given numbers 7/56, 28/70, 98/744, 438/601 is

GCF of Numerators i.e. for 7,28,98,438 is 1

LCM of denominators i.e. for 56,70,744,601 is 15650040.

Thus, GCF of Fractions is 1/15650040.Finally, GCF of Fractions for 7/56, 28/70, 98/744, 438/601 is 1/15650040.