Greatest Common Factor of 47/351, 697/373, 678/646

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 47/351, 697/373, 678/646

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 47/351,697/373,678/646

Given fractions are 47/351,697/373,678/646

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 47,697,678

Greatest Common Factor of Numerators i.e. GCF of 47,697,678 is 1 .

LCM of Denominators means LCM of 351,373,646 as per the given fractions.

LCM of 351,373,646 is 84576258 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 47,697,678

GCF of Fractions 47/351,697/373,678/646 is 1/84576258

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

Greatest Common Factor of 47,697,678 By Matching Biggest Common Factor Method

Greatest Common Factor of 47,697,678 By Matching Biggest Common Factor Method

Factors of 47

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

1,47

Factors of 697

List of positive integer factors of 697 that divides 697 without a remainder.

1,17,41,697

Factors of 678

List of positive integer factors of 678 that divides 678 without a remainder.

1,2,3,6,113,226,339,678

Greatest Common Factor

We found the factors 47,697,678 . The biggest common factor number is the GCF number.
So the greatest common factor 47,697,678 is 1.

Lets's calculate LCM of 351,373,646

Given numbers has no common factors except 1. So, there LCM is their product i.e 84576258

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/84576258

Therefore, the GCF of Fractions 47/351,697/373,678/646 is 1/84576258

Least Common Multiple of 351,373,646 with GCF Formula

Least Common Multiple of 351,373,646 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 351,373,646 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(351,373,646) = 1

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

GCF(351,373,646) x common factors =1 x 1 = 1

LCM(351,373,646) = ( 351 × 373 × 646 ) / 1

LCM(351,373,646) = 84576258 / 1

LCM(351,373,646) = 84576258


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 47/351, 697/373, 678/646

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 47/351, 697/373, 678/646?

Answer: GCF of Numerators as per given numbers 47/351, 697/373, 678/646 is

GCF of Numerators i.e. for 47,697,678 is 1

LCM of denominators i.e. for 351,373,646 is 84576258.

Thus, GCF of Fractions is 1/84576258.Finally, GCF of Fractions for 47/351, 697/373, 678/646 is 1/84576258.