Greatest Common Factor of 454/832, 8370/418

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 454/832, 8370/418

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 454/832,8370/418

Given fractions are 454/832,8370/418

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 454,8370

Greatest Common Factor of Numerators i.e. GCF of 454,8370 is 2 .

LCM of Denominators means LCM of 832,418 as per the given fractions.

LCM of 832,418 is 173888 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 454,8370

GCF of Fractions 454/832,8370/418 is 2/173888

2 454, 8370
227, 4185

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

Greatest Common Factor of 454,8370 By Matching Biggest Common Factor Method

Greatest Common Factor of 454,8370 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 8370

List of positive integer factors of 8370 that divides 8370 without a remainder.

1,2,3,5,6,9,10,15,18,27,30,31,45,54,62,90,93,135,155,186,270,279,310,465,558,837,930,1395,1674,2790,4185,8370

Greatest Common Factor

We found the factors 454,8370 . The biggest common factor number is the GCF number.
So the greatest common factor 454,8370 is 2.

Lets's calculate LCM of 832,418

2 832, 418
416, 209

∴ So the LCM of the given numbers is 2 x 416 x 209 = 173888

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/173888

Therefore, the GCF of Fractions 454/832,8370/418 is 2/173888

Least Common Multiple of 832,418 with GCF Formula

Least Common Multiple of 832,418 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 832,418 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(832,418) = 2

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

GCF(832,418) x common factors =2 x 1 = 2

LCM(832,418) = ( 832 × 418 ) / 2

LCM(832,418) = 347776 / 2

LCM(832,418) = 173888


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 454/832, 8370/418

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 454/832, 8370/418?

Answer: GCF of Numerators as per given numbers 454/832, 8370/418 is

GCF of Numerators i.e. for 454,8370 is 2

LCM of denominators i.e. for 832,418 is 173888.

Thus, GCF of Fractions is 2/173888.Finally, GCF of Fractions for 454/832, 8370/418 is 2/173888.