Greatest Common Factor of 428/661, 662/262, 259/464

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 428/661, 662/262, 259/464

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 428/661,662/262,259/464

Given fractions are 428/661,662/262,259/464

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 428,662,259

Greatest Common Factor of Numerators i.e. GCF of 428,662,259 is 1 .

LCM of Denominators means LCM of 661,262,464 as per the given fractions.

LCM of 661,262,464 is 40178224 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 428,662,259

GCF of Fractions 428/661,662/262,259/464 is 1/40178224

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

Greatest Common Factor of 428,662,259 By Matching Biggest Common Factor Method

Greatest Common Factor of 428,662,259 By Matching Biggest Common Factor Method

Factors of 428

List of positive integer factors of 428 that divides 428 without a remainder.

1,2,4,107,214,428

Factors of 662

List of positive integer factors of 662 that divides 662 without a remainder.

1,2,331,662

Factors of 259

List of positive integer factors of 259 that divides 259 without a remainder.

1,7,37,259

Greatest Common Factor

We found the factors 428,662,259 . The biggest common factor number is the GCF number.
So the greatest common factor 428,662,259 is 1.

Lets's calculate LCM of 661,262,464

2 661, 262, 464
661, 131, 232

∴ So the LCM of the given numbers is 2 x 661 x 131 x 232 = 40178224

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/40178224

Therefore, the GCF of Fractions 428/661,662/262,259/464 is 1/40178224

Least Common Multiple of 661,262,464 with GCF Formula

Least Common Multiple of 661,262,464 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 661,262,464 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(661,262,464) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(661,262,464) x common factors =1 x 2 = 2

LCM(661,262,464) = ( 661 × 262 × 464 ) / 2

LCM(661,262,464) = 80356448 / 2

LCM(661,262,464) = 40178224


GCF of Fractions Calculation Examples

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GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

Frequently Asked Questions on Fractional GCF of 428/661, 662/262, 259/464

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 428/661, 662/262, 259/464?

Answer: GCF of Numerators as per given numbers 428/661, 662/262, 259/464 is

GCF of Numerators i.e. for 428,662,259 is 1

LCM of denominators i.e. for 661,262,464 is 40178224.

Thus, GCF of Fractions is 1/40178224.Finally, GCF of Fractions for 428/661, 662/262, 259/464 is 1/40178224.