Greatest Common Factor of 335/974, 860/719, 217/202

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 335/974, 860/719, 217/202

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 335/974,860/719,217/202

Given fractions are 335/974,860/719,217/202

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 335,860,217

Greatest Common Factor of Numerators i.e. GCF of 335,860,217 is 1 .

LCM of Denominators means LCM of 974,719,202 as per the given fractions.

LCM of 974,719,202 is 70730906 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 335,860,217

GCF of Fractions 335/974,860/719,217/202 is 1/70730906

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

Greatest Common Factor of 335,860,217 By Matching Biggest Common Factor Method

Greatest Common Factor of 335,860,217 By Matching Biggest Common Factor Method

Factors of 335

List of positive integer factors of 335 that divides 335 without a remainder.

1,5,67,335

Factors of 860

List of positive integer factors of 860 that divides 860 without a remainder.

1,2,4,5,10,20,43,86,172,215,430,860

Factors of 217

List of positive integer factors of 217 that divides 217 without a remainder.

1,7,31,217

Greatest Common Factor

We found the factors 335,860,217 . The biggest common factor number is the GCF number.
So the greatest common factor 335,860,217 is 1.

Lets's calculate LCM of 974,719,202

2 974, 719, 202
487, 719, 101

∴ So the LCM of the given numbers is 2 x 487 x 719 x 101 = 70730906

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/70730906

Therefore, the GCF of Fractions 335/974,860/719,217/202 is 1/70730906

Least Common Multiple of 974,719,202 with GCF Formula

Least Common Multiple of 974,719,202 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 974,719,202 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(974,719,202) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(974,719,202) x common factors =1 x 2 = 2

LCM(974,719,202) = ( 974 × 719 × 202 ) / 2

LCM(974,719,202) = 141461812 / 2

LCM(974,719,202) = 70730906


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 335/974, 860/719, 217/202

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 335/974, 860/719, 217/202?

Answer: GCF of Numerators as per given numbers 335/974, 860/719, 217/202 is

GCF of Numerators i.e. for 335,860,217 is 1

LCM of denominators i.e. for 974,719,202 is 70730906.

Thus, GCF of Fractions is 1/70730906.Finally, GCF of Fractions for 335/974, 860/719, 217/202 is 1/70730906.