Greatest Common Factor of 59/641, 177/794

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 59/641, 177/794

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 59/641,177/794

Given fractions are 59/641,177/794

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 59,177

Greatest Common Factor of Numerators i.e. GCF of 59,177 is 59 .

LCM of Denominators means LCM of 641,794 as per the given fractions.

LCM of 641,794 is 508954 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 59,177

GCF of Fractions 59/641,177/794 is 59/508954

59 59, 177
1, 3

∴ So the GCF of the given numbers is 59 = 59

Greatest Common Factor of 59,177 By Matching Biggest Common Factor Method

Greatest Common Factor of 59,177 By Matching Biggest Common Factor Method

Factors of 59

List of positive integer factors of 59 that divides 59 without a remainder.

1,59

Factors of 177

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

1,3,59,177

Greatest Common Factor

We found the factors 59,177 . The biggest common factor number is the GCF number.
So the greatest common factor 59,177 is 59.

Lets's calculate LCM of 641,794

Given numbers has no common factors except 1. So, there LCM is their product i.e 508954

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 59/508954

Therefore, the GCF of Fractions 59/641,177/794 is 59/508954

Least Common Multiple of 641,794 with GCF Formula

Least Common Multiple of 641,794 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 641,794 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(641,794) = 1

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

GCF(641,794) x common factors =1 x 1 = 1

LCM(641,794) = ( 641 × 794 ) / 1

LCM(641,794) = 508954 / 1

LCM(641,794) = 508954


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 59/641, 177/794

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 59/641, 177/794?

Answer: GCF of Numerators as per given numbers 59/641, 177/794 is

GCF of Numerators i.e. for 59,177 is 59

LCM of denominators i.e. for 641,794 is 508954.

Thus, GCF of Fractions is 59/508954.Finally, GCF of Fractions for 59/641, 177/794 is 59/508954.