Greatest Common Factor of 182/36, 828/91, 151/278

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 182/36, 828/91, 151/278

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 182/36,828/91,151/278

Given fractions are 182/36,828/91,151/278

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 182,828,151

Greatest Common Factor of Numerators i.e. GCF of 182,828,151 is 1 .

LCM of Denominators means LCM of 36,91,278 as per the given fractions.

LCM of 36,91,278 is 455364 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 182,828,151

GCF of Fractions 182/36,828/91,151/278 is 1/455364

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

Greatest Common Factor of 182,828,151 By Matching Biggest Common Factor Method

Greatest Common Factor of 182,828,151 By Matching Biggest Common Factor Method

Factors of 182

List of positive integer factors of 182 that divides 182 without a remainder.

1,2,7,13,14,26,91,182

Factors of 828

List of positive integer factors of 828 that divides 828 without a remainder.

1,2,3,4,6,9,12,18,23,36,46,69,92,138,207,276,414,828

Factors of 151

List of positive integer factors of 151 that divides 151 without a remainder.

1,151

Greatest Common Factor

We found the factors 182,828,151 . The biggest common factor number is the GCF number.
So the greatest common factor 182,828,151 is 1.

Lets's calculate LCM of 36,91,278

2 36, 91, 278
18, 91, 139

∴ So the LCM of the given numbers is 2 x 18 x 91 x 139 = 455364

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/455364

Therefore, the GCF of Fractions 182/36,828/91,151/278 is 1/455364

Least Common Multiple of 36,91,278 with GCF Formula

Least Common Multiple of 36,91,278 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 36,91,278 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(36,91,278) = 1

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

GCF(36,91,278) x common factors =1 x 2 = 2

LCM(36,91,278) = ( 36 × 91 × 278 ) / 2

LCM(36,91,278) = 910728 / 2

LCM(36,91,278) = 455364


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 182/36, 828/91, 151/278

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 182/36, 828/91, 151/278?

Answer: GCF of Numerators as per given numbers 182/36, 828/91, 151/278 is

GCF of Numerators i.e. for 182,828,151 is 1

LCM of denominators i.e. for 36,91,278 is 455364.

Thus, GCF of Fractions is 1/455364.Finally, GCF of Fractions for 182/36, 828/91, 151/278 is 1/455364.