Greatest Common Factor of 440/74, 503/89, 400/144

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 440/74, 503/89, 400/144

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 440/74,503/89,400/144

Given fractions are 440/74,503/89,400/144

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 440,503,400

Greatest Common Factor of Numerators i.e. GCF of 440,503,400 is 1 .

LCM of Denominators means LCM of 74,89,144 as per the given fractions.

LCM of 74,89,144 is 474192 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 440,503,400

GCF of Fractions 440/74,503/89,400/144 is 1/474192

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

Greatest Common Factor of 440,503,400 By Matching Biggest Common Factor Method

Greatest Common Factor of 440,503,400 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 503

List of positive integer factors of 503 that divides 503 without a remainder.

1,503

Factors of 400

List of positive integer factors of 400 that divides 400 without a remainder.

1,2,4,5,8,10,16,20,25,40,50,80,100,200,400

Greatest Common Factor

We found the factors 440,503,400 . The biggest common factor number is the GCF number.
So the greatest common factor 440,503,400 is 1.

Lets's calculate LCM of 74,89,144

2 74, 89, 144
37, 89, 72

∴ So the LCM of the given numbers is 2 x 37 x 89 x 72 = 474192

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/474192

Therefore, the GCF of Fractions 440/74,503/89,400/144 is 1/474192

Least Common Multiple of 74,89,144 with GCF Formula

Least Common Multiple of 74,89,144 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 74,89,144 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(74,89,144) = 1

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

GCF(74,89,144) x common factors =1 x 2 = 2

LCM(74,89,144) = ( 74 × 89 × 144 ) / 2

LCM(74,89,144) = 948384 / 2

LCM(74,89,144) = 474192


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 440/74, 503/89, 400/144

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 440/74, 503/89, 400/144?

Answer: GCF of Numerators as per given numbers 440/74, 503/89, 400/144 is

GCF of Numerators i.e. for 440,503,400 is 1

LCM of denominators i.e. for 74,89,144 is 474192.

Thus, GCF of Fractions is 1/474192.Finally, GCF of Fractions for 440/74, 503/89, 400/144 is 1/474192.