Greatest Common Factor of 458/722, 126/846

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 458/722, 126/846

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 458/722,126/846

Given fractions are 458/722,126/846

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 458,126

Greatest Common Factor of Numerators i.e. GCF of 458,126 is 2 .

LCM of Denominators means LCM of 722,846 as per the given fractions.

LCM of 722,846 is 305406 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 458,126

GCF of Fractions 458/722,126/846 is 2/305406

2 458, 126
229, 63

∴ So the GCF of the given numbers is 2 = 2

Greatest Common Factor of 458,126 By Matching Biggest Common Factor Method

Greatest Common Factor of 458,126 By Matching Biggest Common Factor Method

Factors of 458

List of positive integer factors of 458 that divides 458 without a remainder.

1,2,229,458

Factors of 126

List of positive integer factors of 126 that divides 126 without a remainder.

1,2,3,6,7,9,14,18,21,42,63,126

Greatest Common Factor

We found the factors 458,126 . The biggest common factor number is the GCF number.
So the greatest common factor 458,126 is 2.

Lets's calculate LCM of 722,846

2 722, 846
361, 423

∴ So the LCM of the given numbers is 2 x 361 x 423 = 305406

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/305406

Therefore, the GCF of Fractions 458/722,126/846 is 2/305406

Least Common Multiple of 722,846 with GCF Formula

Least Common Multiple of 722,846 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 722,846 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(722,846) = 2

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

GCF(722,846) x common factors =2 x 1 = 2

LCM(722,846) = ( 722 × 846 ) / 2

LCM(722,846) = 610812 / 2

LCM(722,846) = 305406


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 458/722, 126/846

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 458/722, 126/846?

Answer: GCF of Numerators as per given numbers 458/722, 126/846 is

GCF of Numerators i.e. for 458,126 is 2

LCM of denominators i.e. for 722,846 is 305406.

Thus, GCF of Fractions is 2/305406.Finally, GCF of Fractions for 458/722, 126/846 is 2/305406.