Greatest Common Factor of 177/61, 170/634

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 177/61, 170/634

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 177/61,170/634

Given fractions are 177/61,170/634

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 177,170

Greatest Common Factor of Numerators i.e. GCF of 177,170 is 1 .

LCM of Denominators means LCM of 61,634 as per the given fractions.

LCM of 61,634 is 38674 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 177,170

GCF of Fractions 177/61,170/634 is 1/38674

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

Greatest Common Factor of 177,170 By Matching Biggest Common Factor Method

Greatest Common Factor of 177,170 By Matching Biggest Common Factor Method

Factors of 177

List of positive integer factors of 177 that divides 177 without a remainder.

1,3,59,177

Factors of 170

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

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

Greatest Common Factor

We found the factors 177,170 . The biggest common factor number is the GCF number.
So the greatest common factor 177,170 is 1.

Lets's calculate LCM of 61,634

Given numbers has no common factors except 1. So, there LCM is their product i.e 38674

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/38674

Therefore, the GCF of Fractions 177/61,170/634 is 1/38674

Least Common Multiple of 61,634 with GCF Formula

Least Common Multiple of 61,634 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 61,634 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(61,634) = 1

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

GCF(61,634) x common factors =1 x 1 = 1

LCM(61,634) = ( 61 × 634 ) / 1

LCM(61,634) = 38674 / 1

LCM(61,634) = 38674


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 177/61, 170/634

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 177/61, 170/634?

Answer: GCF of Numerators as per given numbers 177/61, 170/634 is

GCF of Numerators i.e. for 177,170 is 1

LCM of denominators i.e. for 61,634 is 38674.

Thus, GCF of Fractions is 1/38674.Finally, GCF of Fractions for 177/61, 170/634 is 1/38674.