Greatest Common Factor of 161/58, 919/47, 531/780

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 161/58, 919/47, 531/780

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 161/58,919/47,531/780

Given fractions are 161/58,919/47,531/780

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 161,919,531

Greatest Common Factor of Numerators i.e. GCF of 161,919,531 is 1 .

LCM of Denominators means LCM of 58,47,780 as per the given fractions.

LCM of 58,47,780 is 1063140 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 161,919,531

GCF of Fractions 161/58,919/47,531/780 is 1/1063140

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

Greatest Common Factor of 161,919,531 By Matching Biggest Common Factor Method

Greatest Common Factor of 161,919,531 By Matching Biggest Common Factor Method

Factors of 161

List of positive integer factors of 161 that divides 161 without a remainder.

1,7,23,161

Factors of 919

List of positive integer factors of 919 that divides 919 without a remainder.

1,919

Factors of 531

List of positive integer factors of 531 that divides 531 without a remainder.

1,3,9,59,177,531

Greatest Common Factor

We found the factors 161,919,531 . The biggest common factor number is the GCF number.
So the greatest common factor 161,919,531 is 1.

Lets's calculate LCM of 58,47,780

2 58, 47, 780
29, 47, 390

∴ So the LCM of the given numbers is 2 x 29 x 47 x 390 = 1063140

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1063140

Therefore, the GCF of Fractions 161/58,919/47,531/780 is 1/1063140

Least Common Multiple of 58,47,780 with GCF Formula

Least Common Multiple of 58,47,780 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 58,47,780 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(58,47,780) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(58,47,780) x common factors =1 x 2 = 2

LCM(58,47,780) = ( 58 × 47 × 780 ) / 2

LCM(58,47,780) = 2126280 / 2

LCM(58,47,780) = 1063140


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 161/58, 919/47, 531/780

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 161/58, 919/47, 531/780?

Answer: GCF of Numerators as per given numbers 161/58, 919/47, 531/780 is

GCF of Numerators i.e. for 161,919,531 is 1

LCM of denominators i.e. for 58,47,780 is 1063140.

Thus, GCF of Fractions is 1/1063140.Finally, GCF of Fractions for 161/58, 919/47, 531/780 is 1/1063140.