Greatest Common Factor of 338/84, 826/74, 444/74

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 338/84, 826/74, 444/74

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 338/84,826/74,444/74

Given fractions are 338/84,826/74,444/74

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 338,826,444

Greatest Common Factor of Numerators i.e. GCF of 338,826,444 is 2 .

LCM of Denominators means LCM of 84,74,74 as per the given fractions.

LCM of 84,74,74 is 3108 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 338,826,444

GCF of Fractions 338/84,826/74,444/74 is 2/3108

2 338, 826, 444
169, 413, 222

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

Greatest Common Factor of 338,826,444 By Matching Biggest Common Factor Method

Greatest Common Factor of 338,826,444 By Matching Biggest Common Factor Method

Factors of 338

List of positive integer factors of 338 that divides 338 without a remainder.

1,2,13,26,169,338

Factors of 826

List of positive integer factors of 826 that divides 826 without a remainder.

1,2,7,14,59,118,413,826

Factors of 444

List of positive integer factors of 444 that divides 444 without a remainder.

1,2,3,4,6,12,37,74,111,148,222,444

Greatest Common Factor

We found the factors 338,826,444 . The biggest common factor number is the GCF number.
So the greatest common factor 338,826,444 is 2.

Lets's calculate LCM of 84,74,74

2 84, 74, 74
37 42, 37, 37
42, 1, 1

∴ So the LCM of the given numbers is 2 x 37 x 42 x 1 x 1 = 3108

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/3108

Therefore, the GCF of Fractions 338/84,826/74,444/74 is 2/3108

Least Common Multiple of 84,74,74 with GCF Formula

Least Common Multiple of 84,74,74 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 84,74,74 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(84,74,74) = 2

common factors(in case of two or more numbers have common factors) = 74

GCF(84,74,74) x common factors =2 x 74 = 148

LCM(84,74,74) = ( 84 × 74 × 74 ) / 148

LCM(84,74,74) = 459984 / 148

LCM(84,74,74) = 3108


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 338/84, 826/74, 444/74

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 338/84, 826/74, 444/74?

Answer: GCF of Numerators as per given numbers 338/84, 826/74, 444/74 is

GCF of Numerators i.e. for 338,826,444 is 2

LCM of denominators i.e. for 84,74,74 is 3108.

Thus, GCF of Fractions is 2/3108.Finally, GCF of Fractions for 338/84, 826/74, 444/74 is 2/3108.