Greatest Common Factor of 441/426, 354/984

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 441/426, 354/984

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 441/426,354/984

Given fractions are 441/426,354/984

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 441,354

Greatest Common Factor of Numerators i.e. GCF of 441,354 is 3 .

LCM of Denominators means LCM of 426,984 as per the given fractions.

LCM of 426,984 is 69864 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 441,354

GCF of Fractions 441/426,354/984 is 3/69864

3 441, 354
147, 118

∴ So the GCF of the given numbers is 3 = 3

Greatest Common Factor of 441,354 By Matching Biggest Common Factor Method

Greatest Common Factor of 441,354 By Matching Biggest Common Factor Method

Factors of 441

List of positive integer factors of 441 that divides 441 without a remainder.

1,3,7,9,21,49,63,147,441

Factors of 354

List of positive integer factors of 354 that divides 354 without a remainder.

1,2,3,6,59,118,177,354

Greatest Common Factor

We found the factors 441,354 . The biggest common factor number is the GCF number.
So the greatest common factor 441,354 is 3.

Lets's calculate LCM of 426,984

2 426, 984
3 213, 492
71, 164

∴ So the LCM of the given numbers is 2 x 3 x 71 x 164 = 69864

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/69864

Therefore, the GCF of Fractions 441/426,354/984 is 3/69864

Least Common Multiple of 426,984 with GCF Formula

Least Common Multiple of 426,984 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 426,984 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(426,984) = 6

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

GCF(426,984) x common factors =6 x 1 = 6

LCM(426,984) = ( 426 × 984 ) / 6

LCM(426,984) = 419184 / 6

LCM(426,984) = 69864


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 441/426, 354/984

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 441/426, 354/984?

Answer: GCF of Numerators as per given numbers 441/426, 354/984 is

GCF of Numerators i.e. for 441,354 is 3

LCM of denominators i.e. for 426,984 is 69864.

Thus, GCF of Fractions is 3/69864.Finally, GCF of Fractions for 441/426, 354/984 is 3/69864.