Greatest Common Factor of 441/840, 310/439, 536/318

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 441/840, 310/439, 536/318

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 441/840,310/439,536/318

Given fractions are 441/840,310/439,536/318

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 441,310,536

Greatest Common Factor of Numerators i.e. GCF of 441,310,536 is 1 .

LCM of Denominators means LCM of 840,439,318 as per the given fractions.

LCM of 840,439,318 is 19544280 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 441,310,536

GCF of Fractions 441/840,310/439,536/318 is 1/19544280

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

Greatest Common Factor of 441,310,536 By Matching Biggest Common Factor Method

Greatest Common Factor of 441,310,536 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 310

List of positive integer factors of 310 that divides 310 without a remainder.

1,2,5,10,31,62,155,310

Factors of 536

List of positive integer factors of 536 that divides 536 without a remainder.

1,2,4,8,67,134,268,536

Greatest Common Factor

We found the factors 441,310,536 . The biggest common factor number is the GCF number.
So the greatest common factor 441,310,536 is 1.

Lets's calculate LCM of 840,439,318

2 840, 439, 318
3 420, 439, 159
140, 439, 53

∴ So the LCM of the given numbers is 2 x 3 x 140 x 439 x 53 = 19544280

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/19544280

Therefore, the GCF of Fractions 441/840,310/439,536/318 is 1/19544280

Least Common Multiple of 840,439,318 with GCF Formula

Least Common Multiple of 840,439,318 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 840,439,318 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(840,439,318) = 1

common factors(in case of two or more numbers have common factors) = 6

GCF(840,439,318) x common factors =1 x 6 = 6

LCM(840,439,318) = ( 840 × 439 × 318 ) / 6

LCM(840,439,318) = 117265680 / 6

LCM(840,439,318) = 19544280


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 441/840, 310/439, 536/318

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 441/840, 310/439, 536/318?

Answer: GCF of Numerators as per given numbers 441/840, 310/439, 536/318 is

GCF of Numerators i.e. for 441,310,536 is 1

LCM of denominators i.e. for 840,439,318 is 19544280.

Thus, GCF of Fractions is 1/19544280.Finally, GCF of Fractions for 441/840, 310/439, 536/318 is 1/19544280.