Greatest Common Factor of 588/56, 762/93, 752/365

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 588/56, 762/93, 752/365

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 588/56,762/93,752/365

Given fractions are 588/56,762/93,752/365

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 588,762,752

Greatest Common Factor of Numerators i.e. GCF of 588,762,752 is 2 .

LCM of Denominators means LCM of 56,93,365 as per the given fractions.

LCM of 56,93,365 is 1900920 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 588,762,752

GCF of Fractions 588/56,762/93,752/365 is 2/1900920

2 588, 762, 752
294, 381, 376

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

Greatest Common Factor of 588,762,752 By Matching Biggest Common Factor Method

Greatest Common Factor of 588,762,752 By Matching Biggest Common Factor Method

Factors of 588

List of positive integer factors of 588 that divides 588 without a remainder.

1,2,3,4,6,7,12,14,21,28,42,49,84,98,147,196,294,588

Factors of 762

List of positive integer factors of 762 that divides 762 without a remainder.

1,2,3,6,127,254,381,762

Factors of 752

List of positive integer factors of 752 that divides 752 without a remainder.

1,2,4,8,16,47,94,188,376,752

Greatest Common Factor

We found the factors 588,762,752 . The biggest common factor number is the GCF number.
So the greatest common factor 588,762,752 is 2.

Lets's calculate LCM of 56,93,365

Given numbers has no common factors except 1. So, there LCM is their product i.e 1900920

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/1900920

Therefore, the GCF of Fractions 588/56,762/93,752/365 is 2/1900920

Least Common Multiple of 56,93,365 with GCF Formula

Least Common Multiple of 56,93,365 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 56,93,365 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(56,93,365) = 1

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

GCF(56,93,365) x common factors =1 x 1 = 1

LCM(56,93,365) = ( 56 × 93 × 365 ) / 1

LCM(56,93,365) = 1900920 / 1

LCM(56,93,365) = 1900920


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 588/56, 762/93, 752/365

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 588/56, 762/93, 752/365?

Answer: GCF of Numerators as per given numbers 588/56, 762/93, 752/365 is

GCF of Numerators i.e. for 588,762,752 is 2

LCM of denominators i.e. for 56,93,365 is 1900920.

Thus, GCF of Fractions is 2/1900920.Finally, GCF of Fractions for 588/56, 762/93, 752/365 is 2/1900920.