Greatest Common Factor of 440/315, 984/943

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 440/315, 984/943

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 440/315,984/943

Given fractions are 440/315,984/943

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 440,984

Greatest Common Factor of Numerators i.e. GCF of 440,984 is 8 .

LCM of Denominators means LCM of 315,943 as per the given fractions.

LCM of 315,943 is 297045 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 440,984

GCF of Fractions 440/315,984/943 is 8/297045

2 440, 984
2 220, 492
2 110, 246
55, 123

∴ So the GCF of the given numbers is 2 x 2 x 2 = 8

Greatest Common Factor of 440,984 By Matching Biggest Common Factor Method

Greatest Common Factor of 440,984 By Matching Biggest Common Factor Method

Factors of 440

List of positive integer factors of 440 that divides 440 without a remainder.

1,2,4,5,8,10,11,20,22,40,44,55,88,110,220,440

Factors of 984

List of positive integer factors of 984 that divides 984 without a remainder.

1,2,3,4,6,8,12,24,41,82,123,164,246,328,492,984

Greatest Common Factor

We found the factors 440,984 . The biggest common factor number is the GCF number.
So the greatest common factor 440,984 is 8.

Lets's calculate LCM of 315,943

Given numbers has no common factors except 1. So, there LCM is their product i.e 297045

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 8/297045

Therefore, the GCF of Fractions 440/315,984/943 is 8/297045

Least Common Multiple of 315,943 with GCF Formula

Least Common Multiple of 315,943 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 315,943 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(315,943) = 1

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

GCF(315,943) x common factors =1 x 1 = 1

LCM(315,943) = ( 315 × 943 ) / 1

LCM(315,943) = 297045 / 1

LCM(315,943) = 297045


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 440/315, 984/943

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 440/315, 984/943?

Answer: GCF of Numerators as per given numbers 440/315, 984/943 is

GCF of Numerators i.e. for 440,984 is 8

LCM of denominators i.e. for 315,943 is 297045.

Thus, GCF of Fractions is 8/297045.Finally, GCF of Fractions for 440/315, 984/943 is 8/297045.