Greatest Common Factor of 995/15, 754/47, 322/26

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 995/15, 754/47, 322/26

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 995/15,754/47,322/26

Given fractions are 995/15,754/47,322/26

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 995,754,322

Greatest Common Factor of Numerators i.e. GCF of 995,754,322 is 1 .

LCM of Denominators means LCM of 15,47,26 as per the given fractions.

LCM of 15,47,26 is 18330 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 995,754,322

GCF of Fractions 995/15,754/47,322/26 is 1/18330

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

Greatest Common Factor of 995,754,322 By Matching Biggest Common Factor Method

Greatest Common Factor of 995,754,322 By Matching Biggest Common Factor Method

Factors of 995

List of positive integer factors of 995 that divides 995 without a remainder.

1,5,199,995

Factors of 754

List of positive integer factors of 754 that divides 754 without a remainder.

1,2,13,26,29,58,377,754

Factors of 322

List of positive integer factors of 322 that divides 322 without a remainder.

1,2,7,14,23,46,161,322

Greatest Common Factor

We found the factors 995,754,322 . The biggest common factor number is the GCF number.
So the greatest common factor 995,754,322 is 1.

Lets's calculate LCM of 15,47,26

Given numbers has no common factors except 1. So, there LCM is their product i.e 18330

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/18330

Therefore, the GCF of Fractions 995/15,754/47,322/26 is 1/18330

Least Common Multiple of 15,47,26 with GCF Formula

Least Common Multiple of 15,47,26 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 15,47,26 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(15,47,26) = 1

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

GCF(15,47,26) x common factors =1 x 1 = 1

LCM(15,47,26) = ( 15 × 47 × 26 ) / 1

LCM(15,47,26) = 18330 / 1

LCM(15,47,26) = 18330


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 995/15, 754/47, 322/26

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 995/15, 754/47, 322/26?

Answer: GCF of Numerators as per given numbers 995/15, 754/47, 322/26 is

GCF of Numerators i.e. for 995,754,322 is 1

LCM of denominators i.e. for 15,47,26 is 18330.

Thus, GCF of Fractions is 1/18330.Finally, GCF of Fractions for 995/15, 754/47, 322/26 is 1/18330.