Greatest Common Factor of 454/722, 5858/654

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 454/722, 5858/654

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 454/722,5858/654

Given fractions are 454/722,5858/654

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 454,5858

Greatest Common Factor of Numerators i.e. GCF of 454,5858 is 2 .

LCM of Denominators means LCM of 722,654 as per the given fractions.

LCM of 722,654 is 236094 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 454,5858

GCF of Fractions 454/722,5858/654 is 2/236094

2 454, 5858
227, 2929

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

Greatest Common Factor of 454,5858 By Matching Biggest Common Factor Method

Greatest Common Factor of 454,5858 By Matching Biggest Common Factor Method

Factors of 454

List of positive integer factors of 454 that divides 454 without a remainder.

1,2,227,454

Factors of 5858

List of positive integer factors of 5858 that divides 5858 without a remainder.

1,2,29,58,101,202,2929,5858

Greatest Common Factor

We found the factors 454,5858 . The biggest common factor number is the GCF number.
So the greatest common factor 454,5858 is 2.

Lets's calculate LCM of 722,654

2 722, 654
361, 327

∴ So the LCM of the given numbers is 2 x 361 x 327 = 236094

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/236094

Therefore, the GCF of Fractions 454/722,5858/654 is 2/236094

Least Common Multiple of 722,654 with GCF Formula

Least Common Multiple of 722,654 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 722,654 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(722,654) = 2

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

GCF(722,654) x common factors =2 x 1 = 2

LCM(722,654) = ( 722 × 654 ) / 2

LCM(722,654) = 472188 / 2

LCM(722,654) = 236094


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 454/722, 5858/654

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 454/722, 5858/654?

Answer: GCF of Numerators as per given numbers 454/722, 5858/654 is

GCF of Numerators i.e. for 454,5858 is 2

LCM of denominators i.e. for 722,654 is 236094.

Thus, GCF of Fractions is 2/236094.Finally, GCF of Fractions for 454/722, 5858/654 is 2/236094.