Greatest Common Factor of 2/37, 67/96, 47/749, 715/137

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 2/37, 67/96, 47/749, 715/137

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 2/37,67/96,47/749,715/137

Given fractions are 2/37,67/96,47/749,715/137

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 2,67,47,715

Greatest Common Factor of Numerators i.e. GCF of 2,67,47,715 is 1 .

LCM of Denominators means LCM of 37,96,749,137 as per the given fractions.

LCM of 37,96,749,137 is 364481376 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 2,67,47,715

GCF of Fractions 2/37,67/96,47/749,715/137 is 1/364481376

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

Greatest Common Factor of 2,67,47,715 By Matching Biggest Common Factor Method

Greatest Common Factor of 2,67,47,715 By Matching Biggest Common Factor Method

Factors of 2

List of positive integer factors of 2 that divides 2 without a remainder.

1,2

Factors of 67

List of positive integer factors of 67 that divides 67 without a remainder.

1,67

Factors of 47

List of positive integer factors of 47 that divides 47 without a remainder.

1,47

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 2,67,47,715 . The biggest common factor number is the GCF number.
So the greatest common factor 2,67,47,715 is 1.

Lets's calculate LCM of 37,96,749,137

Given numbers has no common factors except 1. So, there LCM is their product i.e 364481376

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/364481376

Therefore, the GCF of Fractions 2/37,67/96,47/749,715/137 is 1/364481376

Least Common Multiple of 37,96,749,137 with GCF Formula

Least Common Multiple of 37,96,749,137 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 37,96,749,137 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(37,96,749,137) = 1

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

GCF(37,96,749,137) x common factors =1 x 1 = 1

LCM(37,96,749,137) = ( 37 × 96 × 749 × 137 ) / 1

LCM(37,96,749,137) = 364481376 / 1

LCM(37,96,749,137) = 364481376


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 2/37, 67/96, 47/749, 715/137

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 2/37, 67/96, 47/749, 715/137?

Answer: GCF of Numerators as per given numbers 2/37, 67/96, 47/749, 715/137 is

GCF of Numerators i.e. for 2,67,47,715 is 1

LCM of denominators i.e. for 37,96,749,137 is 364481376.

Thus, GCF of Fractions is 1/364481376.Finally, GCF of Fractions for 2/37, 67/96, 47/749, 715/137 is 1/364481376.