Greatest Common Factor of 335/48, 450/26, 152/341

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 335/48, 450/26, 152/341

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 335/48,450/26,152/341

Given fractions are 335/48,450/26,152/341

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 335,450,152

Greatest Common Factor of Numerators i.e. GCF of 335,450,152 is 1 .

LCM of Denominators means LCM of 48,26,341 as per the given fractions.

LCM of 48,26,341 is 212784 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 335,450,152

GCF of Fractions 335/48,450/26,152/341 is 1/212784

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

Greatest Common Factor of 335,450,152 By Matching Biggest Common Factor Method

Greatest Common Factor of 335,450,152 By Matching Biggest Common Factor Method

Factors of 335

List of positive integer factors of 335 that divides 335 without a remainder.

1,5,67,335

Factors of 450

List of positive integer factors of 450 that divides 450 without a remainder.

1,2,3,5,6,9,10,15,18,25,30,45,50,75,90,150,225,450

Factors of 152

List of positive integer factors of 152 that divides 152 without a remainder.

1,2,4,8,19,38,76,152

Greatest Common Factor

We found the factors 335,450,152 . The biggest common factor number is the GCF number.
So the greatest common factor 335,450,152 is 1.

Lets's calculate LCM of 48,26,341

2 48, 26, 341
24, 13, 341

∴ So the LCM of the given numbers is 2 x 24 x 13 x 341 = 212784

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/212784

Therefore, the GCF of Fractions 335/48,450/26,152/341 is 1/212784

Least Common Multiple of 48,26,341 with GCF Formula

Least Common Multiple of 48,26,341 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 48,26,341 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(48,26,341) = 1

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

GCF(48,26,341) x common factors =1 x 2 = 2

LCM(48,26,341) = ( 48 × 26 × 341 ) / 2

LCM(48,26,341) = 425568 / 2

LCM(48,26,341) = 212784


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 335/48, 450/26, 152/341

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 335/48, 450/26, 152/341?

Answer: GCF of Numerators as per given numbers 335/48, 450/26, 152/341 is

GCF of Numerators i.e. for 335,450,152 is 1

LCM of denominators i.e. for 48,26,341 is 212784.

Thus, GCF of Fractions is 1/212784.Finally, GCF of Fractions for 335/48, 450/26, 152/341 is 1/212784.