Greatest Common Factor of 170/767, 279/518, 422/639

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 170/767, 279/518, 422/639

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 170/767,279/518,422/639

Given fractions are 170/767,279/518,422/639

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 170,279,422

Greatest Common Factor of Numerators i.e. GCF of 170,279,422 is 1 .

LCM of Denominators means LCM of 767,518,639 as per the given fractions.

LCM of 767,518,639 is 253878534 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 170,279,422

GCF of Fractions 170/767,279/518,422/639 is 1/253878534

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

Greatest Common Factor of 170,279,422 By Matching Biggest Common Factor Method

Greatest Common Factor of 170,279,422 By Matching Biggest Common Factor Method

Factors of 170

List of positive integer factors of 170 that divides 170 without a remainder.

1,2,5,10,17,34,85,170

Factors of 279

List of positive integer factors of 279 that divides 279 without a remainder.

1,3,9,31,93,279

Factors of 422

List of positive integer factors of 422 that divides 422 without a remainder.

1,2,211,422

Greatest Common Factor

We found the factors 170,279,422 . The biggest common factor number is the GCF number.
So the greatest common factor 170,279,422 is 1.

Lets's calculate LCM of 767,518,639

Given numbers has no common factors except 1. So, there LCM is their product i.e 253878534

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/253878534

Therefore, the GCF of Fractions 170/767,279/518,422/639 is 1/253878534

Least Common Multiple of 767,518,639 with GCF Formula

Least Common Multiple of 767,518,639 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 767,518,639 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(767,518,639) = 1

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

GCF(767,518,639) x common factors =1 x 1 = 1

LCM(767,518,639) = ( 767 × 518 × 639 ) / 1

LCM(767,518,639) = 253878534 / 1

LCM(767,518,639) = 253878534


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 170/767, 279/518, 422/639

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 170/767, 279/518, 422/639?

Answer: GCF of Numerators as per given numbers 170/767, 279/518, 422/639 is

GCF of Numerators i.e. for 170,279,422 is 1

LCM of denominators i.e. for 767,518,639 is 253878534.

Thus, GCF of Fractions is 1/253878534.Finally, GCF of Fractions for 170/767, 279/518, 422/639 is 1/253878534.