Greatest Common Factor of 8416/854, 3268/454

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 8416/854, 3268/454

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 8416/854,3268/454

Given fractions are 8416/854,3268/454

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 8416,3268

Greatest Common Factor of Numerators i.e. GCF of 8416,3268 is 4 .

LCM of Denominators means LCM of 854,454 as per the given fractions.

LCM of 854,454 is 193858 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 8416,3268

GCF of Fractions 8416/854,3268/454 is 4/193858

2 8416, 3268
2 4208, 1634
2104, 817

∴ So the GCF of the given numbers is 2 x 2 = 4

Greatest Common Factor of 8416,3268 By Matching Biggest Common Factor Method

Greatest Common Factor of 8416,3268 By Matching Biggest Common Factor Method

Factors of 8416

List of positive integer factors of 8416 that divides 8416 without a remainder.

1,2,4,8,16,32,263,526,1052,2104,4208,8416

Factors of 3268

List of positive integer factors of 3268 that divides 3268 without a remainder.

1,2,4,19,38,43,76,86,172,817,1634,3268

Greatest Common Factor

We found the factors 8416,3268 . The biggest common factor number is the GCF number.
So the greatest common factor 8416,3268 is 4.

Lets's calculate LCM of 854,454

2 854, 454
427, 227

∴ So the LCM of the given numbers is 2 x 427 x 227 = 193858

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/193858

Therefore, the GCF of Fractions 8416/854,3268/454 is 4/193858

Least Common Multiple of 854,454 with GCF Formula

Least Common Multiple of 854,454 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 854,454 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(854,454) = 2

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

GCF(854,454) x common factors =2 x 1 = 2

LCM(854,454) = ( 854 × 454 ) / 2

LCM(854,454) = 387716 / 2

LCM(854,454) = 193858


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 8416/854, 3268/454

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 8416/854, 3268/454?

Answer: GCF of Numerators as per given numbers 8416/854, 3268/454 is

GCF of Numerators i.e. for 8416,3268 is 4

LCM of denominators i.e. for 854,454 is 193858.

Thus, GCF of Fractions is 4/193858.Finally, GCF of Fractions for 8416/854, 3268/454 is 4/193858.