Greatest Common Factor of 8392/359, 4954/455

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 8392/359, 4954/455

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 8392/359,4954/455

Given fractions are 8392/359,4954/455

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 8392,4954

Greatest Common Factor of Numerators i.e. GCF of 8392,4954 is 2 .

LCM of Denominators means LCM of 359,455 as per the given fractions.

LCM of 359,455 is 163345 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 8392,4954

GCF of Fractions 8392/359,4954/455 is 2/163345

2 8392, 4954
4196, 2477

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

Greatest Common Factor of 8392,4954 By Matching Biggest Common Factor Method

Greatest Common Factor of 8392,4954 By Matching Biggest Common Factor Method

Factors of 8392

List of positive integer factors of 8392 that divides 8392 without a remainder.

1,2,4,8,1049,2098,4196,8392

Factors of 4954

List of positive integer factors of 4954 that divides 4954 without a remainder.

1,2,2477,4954

Greatest Common Factor

We found the factors 8392,4954 . The biggest common factor number is the GCF number.
So the greatest common factor 8392,4954 is 2.

Lets's calculate LCM of 359,455

Given numbers has no common factors except 1. So, there LCM is their product i.e 163345

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/163345

Therefore, the GCF of Fractions 8392/359,4954/455 is 2/163345

Least Common Multiple of 359,455 with GCF Formula

Least Common Multiple of 359,455 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 359,455 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(359,455) = 1

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

GCF(359,455) x common factors =1 x 1 = 1

LCM(359,455) = ( 359 × 455 ) / 1

LCM(359,455) = 163345 / 1

LCM(359,455) = 163345


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 8392/359, 4954/455

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 8392/359, 4954/455?

Answer: GCF of Numerators as per given numbers 8392/359, 4954/455 is

GCF of Numerators i.e. for 8392,4954 is 2

LCM of denominators i.e. for 359,455 is 163345.

Thus, GCF of Fractions is 2/163345.Finally, GCF of Fractions for 8392/359, 4954/455 is 2/163345.