Greatest Common Factor of 170/77, 931/95, 288/340

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 170/77, 931/95, 288/340

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 170/77,931/95,288/340

Given fractions are 170/77,931/95,288/340

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 170,931,288

Greatest Common Factor of Numerators i.e. GCF of 170,931,288 is 1 .

LCM of Denominators means LCM of 77,95,340 as per the given fractions.

LCM of 77,95,340 is 497420 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 170,931,288

GCF of Fractions 170/77,931/95,288/340 is 1/497420

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

Greatest Common Factor of 170,931,288 By Matching Biggest Common Factor Method

Greatest Common Factor of 170,931,288 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 931

List of positive integer factors of 931 that divides 931 without a remainder.

1,7,19,49,133,931

Factors of 288

List of positive integer factors of 288 that divides 288 without a remainder.

1,2,3,4,6,8,9,12,16,18,24,32,36,48,72,96,144,288

Greatest Common Factor

We found the factors 170,931,288 . The biggest common factor number is the GCF number.
So the greatest common factor 170,931,288 is 1.

Lets's calculate LCM of 77,95,340

5 77, 95, 340
77, 19, 68

∴ So the LCM of the given numbers is 5 x 77 x 19 x 68 = 497420

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/497420

Therefore, the GCF of Fractions 170/77,931/95,288/340 is 1/497420

Least Common Multiple of 77,95,340 with GCF Formula

Least Common Multiple of 77,95,340 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 77,95,340 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(77,95,340) = 1

common factors(in case of two or more numbers have common factors) = 5

GCF(77,95,340) x common factors =1 x 5 = 5

LCM(77,95,340) = ( 77 × 95 × 340 ) / 5

LCM(77,95,340) = 2487100 / 5

LCM(77,95,340) = 497420


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 170/77, 931/95, 288/340

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 170/77, 931/95, 288/340?

Answer: GCF of Numerators as per given numbers 170/77, 931/95, 288/340 is

GCF of Numerators i.e. for 170,931,288 is 1

LCM of denominators i.e. for 77,95,340 is 497420.

Thus, GCF of Fractions is 1/497420.Finally, GCF of Fractions for 170/77, 931/95, 288/340 is 1/497420.