Greatest Common Factor of 178/53, 8814/496

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 178/53, 8814/496

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 178/53,8814/496

Given fractions are 178/53,8814/496

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 178,8814

Greatest Common Factor of Numerators i.e. GCF of 178,8814 is 2 .

LCM of Denominators means LCM of 53,496 as per the given fractions.

LCM of 53,496 is 26288 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 178,8814

GCF of Fractions 178/53,8814/496 is 2/26288

2 178, 8814
89, 4407

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

Greatest Common Factor of 178,8814 By Matching Biggest Common Factor Method

Greatest Common Factor of 178,8814 By Matching Biggest Common Factor Method

Factors of 178

List of positive integer factors of 178 that divides 178 without a remainder.

1,2,89,178

Factors of 8814

List of positive integer factors of 8814 that divides 8814 without a remainder.

1,2,3,6,13,26,39,78,113,226,339,678,1469,2938,4407,8814

Greatest Common Factor

We found the factors 178,8814 . The biggest common factor number is the GCF number.
So the greatest common factor 178,8814 is 2.

Lets's calculate LCM of 53,496

Given numbers has no common factors except 1. So, there LCM is their product i.e 26288

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/26288

Therefore, the GCF of Fractions 178/53,8814/496 is 2/26288

Least Common Multiple of 53,496 with GCF Formula

Least Common Multiple of 53,496 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 53,496 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(53,496) = 1

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

GCF(53,496) x common factors =1 x 1 = 1

LCM(53,496) = ( 53 × 496 ) / 1

LCM(53,496) = 26288 / 1

LCM(53,496) = 26288


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 178/53, 8814/496

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 178/53, 8814/496?

Answer: GCF of Numerators as per given numbers 178/53, 8814/496 is

GCF of Numerators i.e. for 178,8814 is 2

LCM of denominators i.e. for 53,496 is 26288.

Thus, GCF of Fractions is 2/26288.Finally, GCF of Fractions for 178/53, 8814/496 is 2/26288.