Greatest Common Factor of 58/755, 30/563, 718/947

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 58/755, 30/563, 718/947

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 58/755,30/563,718/947

Given fractions are 58/755,30/563,718/947

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 58,30,718

Greatest Common Factor of Numerators i.e. GCF of 58,30,718 is 2 .

LCM of Denominators means LCM of 755,563,947 as per the given fractions.

LCM of 755,563,947 is 402536555 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 58,30,718

GCF of Fractions 58/755,30/563,718/947 is 2/402536555

2 58, 30, 718
29, 15, 359

∴ So the GCF of the given numbers is 2 = 2

Greatest Common Factor of 58,30,718 By Matching Biggest Common Factor Method

Greatest Common Factor of 58,30,718 By Matching Biggest Common Factor Method

Factors of 58

List of positive integer factors of 58 that divides 58 without a remainder.

1,2,29,58

Factors of 30

List of positive integer factors of 30 that divides 30 without a remainder.

1,2,3,5,6,10,15,30

Factors of 718

List of positive integer factors of 718 that divides 718 without a remainder.

1,2,359,718

Greatest Common Factor

We found the factors 58,30,718 . The biggest common factor number is the GCF number.
So the greatest common factor 58,30,718 is 2.

Lets's calculate LCM of 755,563,947

Given numbers has no common factors except 1. So, there LCM is their product i.e 402536555

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/402536555

Therefore, the GCF of Fractions 58/755,30/563,718/947 is 2/402536555

Least Common Multiple of 755,563,947 with GCF Formula

Least Common Multiple of 755,563,947 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 755,563,947 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(755,563,947) = 1

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

GCF(755,563,947) x common factors =1 x 1 = 1

LCM(755,563,947) = ( 755 × 563 × 947 ) / 1

LCM(755,563,947) = 402536555 / 1

LCM(755,563,947) = 402536555


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 58/755, 30/563, 718/947

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 58/755, 30/563, 718/947?

Answer: GCF of Numerators as per given numbers 58/755, 30/563, 718/947 is

GCF of Numerators i.e. for 58,30,718 is 2

LCM of denominators i.e. for 755,563,947 is 402536555.

Thus, GCF of Fractions is 2/402536555.Finally, GCF of Fractions for 58/755, 30/563, 718/947 is 2/402536555.