Greatest Common Factor of 44/716, 859/199, 398/408

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 44/716, 859/199, 398/408

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 44/716,859/199,398/408

Given fractions are 44/716,859/199,398/408

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 44,859,398

Greatest Common Factor of Numerators i.e. GCF of 44,859,398 is 1 .

LCM of Denominators means LCM of 716,199,408 as per the given fractions.

LCM of 716,199,408 is 14533368 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 44,859,398

GCF of Fractions 44/716,859/199,398/408 is 1/14533368

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

Greatest Common Factor of 44,859,398 By Matching Biggest Common Factor Method

Greatest Common Factor of 44,859,398 By Matching Biggest Common Factor Method

Factors of 44

List of positive integer factors of 44 that divides 44 without a remainder.

1,2,4,11,22,44

Factors of 859

List of positive integer factors of 859 that divides 859 without a remainder.

1,859

Factors of 398

List of positive integer factors of 398 that divides 398 without a remainder.

1,2,199,398

Greatest Common Factor

We found the factors 44,859,398 . The biggest common factor number is the GCF number.
So the greatest common factor 44,859,398 is 1.

Lets's calculate LCM of 716,199,408

2 716, 199, 408
2 358, 199, 204
179, 199, 102

∴ So the LCM of the given numbers is 2 x 2 x 179 x 199 x 102 = 14533368

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/14533368

Therefore, the GCF of Fractions 44/716,859/199,398/408 is 1/14533368

Least Common Multiple of 716,199,408 with GCF Formula

Least Common Multiple of 716,199,408 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 716,199,408 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(716,199,408) = 1

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

GCF(716,199,408) x common factors =1 x 4 = 4

LCM(716,199,408) = ( 716 × 199 × 408 ) / 4

LCM(716,199,408) = 58133472 / 4

LCM(716,199,408) = 14533368


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 44/716, 859/199, 398/408

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 44/716, 859/199, 398/408?

Answer: GCF of Numerators as per given numbers 44/716, 859/199, 398/408 is

GCF of Numerators i.e. for 44,859,398 is 1

LCM of denominators i.e. for 716,199,408 is 14533368.

Thus, GCF of Fractions is 1/14533368.Finally, GCF of Fractions for 44/716, 859/199, 398/408 is 1/14533368.