Greatest Common Factor of 41/41, 684/87, 501/978

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 41/41, 684/87, 501/978

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 41/41,684/87,501/978

Given fractions are 41/41,684/87,501/978

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 41,684,501

Greatest Common Factor of Numerators i.e. GCF of 41,684,501 is 1 .

LCM of Denominators means LCM of 41,87,978 as per the given fractions.

LCM of 41,87,978 is 1162842 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 41,684,501

GCF of Fractions 41/41,684/87,501/978 is 1/1162842

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

Greatest Common Factor of 41,684,501 By Matching Biggest Common Factor Method

Greatest Common Factor of 41,684,501 By Matching Biggest Common Factor Method

Factors of 41

List of positive integer factors of 41 that divides 41 without a remainder.

1,41

Factors of 684

List of positive integer factors of 684 that divides 684 without a remainder.

1,2,3,4,6,9,12,18,19,36,38,57,76,114,171,228,342,684

Factors of 501

List of positive integer factors of 501 that divides 501 without a remainder.

1,3,167,501

Greatest Common Factor

We found the factors 41,684,501 . The biggest common factor number is the GCF number.
So the greatest common factor 41,684,501 is 1.

Lets's calculate LCM of 41,87,978

3 41, 87, 978
41, 29, 326

∴ So the LCM of the given numbers is 3 x 41 x 29 x 326 = 1162842

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1162842

Therefore, the GCF of Fractions 41/41,684/87,501/978 is 1/1162842

Least Common Multiple of 41,87,978 with GCF Formula

Least Common Multiple of 41,87,978 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 41,87,978 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(41,87,978) = 1

common factors(in case of two or more numbers have common factors) = 3

GCF(41,87,978) x common factors =1 x 3 = 3

LCM(41,87,978) = ( 41 × 87 × 978 ) / 3

LCM(41,87,978) = 3488526 / 3

LCM(41,87,978) = 1162842


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 41/41, 684/87, 501/978

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 41/41, 684/87, 501/978?

Answer: GCF of Numerators as per given numbers 41/41, 684/87, 501/978 is

GCF of Numerators i.e. for 41,684,501 is 1

LCM of denominators i.e. for 41,87,978 is 1162842.

Thus, GCF of Fractions is 1/1162842.Finally, GCF of Fractions for 41/41, 684/87, 501/978 is 1/1162842.