Greatest Common Factor of 41/352, 983/956, 715/631

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 41/352, 983/956, 715/631

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 41/352,983/956,715/631

Given fractions are 41/352,983/956,715/631

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 41,983,715

Greatest Common Factor of Numerators i.e. GCF of 41,983,715 is 1 .

LCM of Denominators means LCM of 352,956,631 as per the given fractions.

LCM of 352,956,631 is 53084768 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 41,983,715

GCF of Fractions 41/352,983/956,715/631 is 1/53084768

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

Greatest Common Factor of 41,983,715 By Matching Biggest Common Factor Method

Greatest Common Factor of 41,983,715 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 983

List of positive integer factors of 983 that divides 983 without a remainder.

1,983

Factors of 715

List of positive integer factors of 715 that divides 715 without a remainder.

1,5,11,13,55,65,143,715

Greatest Common Factor

We found the factors 41,983,715 . The biggest common factor number is the GCF number.
So the greatest common factor 41,983,715 is 1.

Lets's calculate LCM of 352,956,631

2 352, 956, 631
2 176, 478, 631
88, 239, 631

∴ So the LCM of the given numbers is 2 x 2 x 88 x 239 x 631 = 53084768

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/53084768

Therefore, the GCF of Fractions 41/352,983/956,715/631 is 1/53084768

Least Common Multiple of 352,956,631 with GCF Formula

Least Common Multiple of 352,956,631 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 352,956,631 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(352,956,631) = 1

common factors(in case of two or more numbers have common factors) = 4

GCF(352,956,631) x common factors =1 x 4 = 4

LCM(352,956,631) = ( 352 × 956 × 631 ) / 4

LCM(352,956,631) = 212339072 / 4

LCM(352,956,631) = 53084768


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 41/352, 983/956, 715/631

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 41/352, 983/956, 715/631?

Answer: GCF of Numerators as per given numbers 41/352, 983/956, 715/631 is

GCF of Numerators i.e. for 41,983,715 is 1

LCM of denominators i.e. for 352,956,631 is 53084768.

Thus, GCF of Fractions is 1/53084768.Finally, GCF of Fractions for 41/352, 983/956, 715/631 is 1/53084768.