Greatest Common Factor of 165/95, 980/85, 766/100

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 165/95, 980/85, 766/100

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 165/95,980/85,766/100

Given fractions are 165/95,980/85,766/100

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 165,980,766

Greatest Common Factor of Numerators i.e. GCF of 165,980,766 is 1 .

LCM of Denominators means LCM of 95,85,100 as per the given fractions.

LCM of 95,85,100 is 32300 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 165,980,766

GCF of Fractions 165/95,980/85,766/100 is 1/32300

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

Greatest Common Factor of 165,980,766 By Matching Biggest Common Factor Method

Greatest Common Factor of 165,980,766 By Matching Biggest Common Factor Method

Factors of 165

List of positive integer factors of 165 that divides 165 without a remainder.

1,3,5,11,15,33,55,165

Factors of 980

List of positive integer factors of 980 that divides 980 without a remainder.

1,2,4,5,7,10,14,20,28,35,49,70,98,140,196,245,490,980

Factors of 766

List of positive integer factors of 766 that divides 766 without a remainder.

1,2,383,766

Greatest Common Factor

We found the factors 165,980,766 . The biggest common factor number is the GCF number.
So the greatest common factor 165,980,766 is 1.

Lets's calculate LCM of 95,85,100

5 95, 85, 100
19, 17, 20

∴ So the LCM of the given numbers is 5 x 19 x 17 x 20 = 32300

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/32300

Therefore, the GCF of Fractions 165/95,980/85,766/100 is 1/32300

Least Common Multiple of 95,85,100 with GCF Formula

Least Common Multiple of 95,85,100 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 95,85,100 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(95,85,100) = 5

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

GCF(95,85,100) x common factors =5 x 5 = 25

LCM(95,85,100) = ( 95 × 85 × 100 ) / 25

LCM(95,85,100) = 807500 / 25

LCM(95,85,100) = 32300


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 165/95, 980/85, 766/100

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 165/95, 980/85, 766/100?

Answer: GCF of Numerators as per given numbers 165/95, 980/85, 766/100 is

GCF of Numerators i.e. for 165,980,766 is 1

LCM of denominators i.e. for 95,85,100 is 32300.

Thus, GCF of Fractions is 1/32300.Finally, GCF of Fractions for 165/95, 980/85, 766/100 is 1/32300.