Greatest Common Factor of 10/89, 746/16, 619/79

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 10/89, 746/16, 619/79

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 10/89,746/16,619/79

Given fractions are 10/89,746/16,619/79

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 10,746,619

Greatest Common Factor of Numerators i.e. GCF of 10,746,619 is 1 .

LCM of Denominators means LCM of 89,16,79 as per the given fractions.

LCM of 89,16,79 is 112496 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 10,746,619

GCF of Fractions 10/89,746/16,619/79 is 1/112496

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

Greatest Common Factor of 10,746,619 By Matching Biggest Common Factor Method

Greatest Common Factor of 10,746,619 By Matching Biggest Common Factor Method

Factors of 10

List of positive integer factors of 10 that divides 10 without a remainder.

1,2,5,10

Factors of 746

List of positive integer factors of 746 that divides 746 without a remainder.

1,2,373,746

Factors of 619

List of positive integer factors of 619 that divides 619 without a remainder.

1,619

Greatest Common Factor

We found the factors 10,746,619 . The biggest common factor number is the GCF number.
So the greatest common factor 10,746,619 is 1.

Lets's calculate LCM of 89,16,79

Given numbers has no common factors except 1. So, there LCM is their product i.e 112496

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/112496

Therefore, the GCF of Fractions 10/89,746/16,619/79 is 1/112496

Least Common Multiple of 89,16,79 with GCF Formula

Least Common Multiple of 89,16,79 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 89,16,79 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(89,16,79) = 1

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

GCF(89,16,79) x common factors =1 x 1 = 1

LCM(89,16,79) = ( 89 × 16 × 79 ) / 1

LCM(89,16,79) = 112496 / 1

LCM(89,16,79) = 112496


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 10/89, 746/16, 619/79

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 10/89, 746/16, 619/79?

Answer: GCF of Numerators as per given numbers 10/89, 746/16, 619/79 is

GCF of Numerators i.e. for 10,746,619 is 1

LCM of denominators i.e. for 89,16,79 is 112496.

Thus, GCF of Fractions is 1/112496.Finally, GCF of Fractions for 10/89, 746/16, 619/79 is 1/112496.