Greatest Common Factor of 503/75, 989/40, 678/223

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 503/75, 989/40, 678/223

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 503/75,989/40,678/223

Given fractions are 503/75,989/40,678/223

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 503,989,678

Greatest Common Factor of Numerators i.e. GCF of 503,989,678 is 1 .

LCM of Denominators means LCM of 75,40,223 as per the given fractions.

LCM of 75,40,223 is 133800 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 503,989,678

GCF of Fractions 503/75,989/40,678/223 is 1/133800

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

Greatest Common Factor of 503,989,678 By Matching Biggest Common Factor Method

Greatest Common Factor of 503,989,678 By Matching Biggest Common Factor Method

Factors of 503

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

1,503

Factors of 989

List of positive integer factors of 989 that divides 989 without a remainder.

1,23,43,989

Factors of 678

List of positive integer factors of 678 that divides 678 without a remainder.

1,2,3,6,113,226,339,678

Greatest Common Factor

We found the factors 503,989,678 . The biggest common factor number is the GCF number.
So the greatest common factor 503,989,678 is 1.

Lets's calculate LCM of 75,40,223

5 75, 40, 223
15, 8, 223

∴ So the LCM of the given numbers is 5 x 15 x 8 x 223 = 133800

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/133800

Therefore, the GCF of Fractions 503/75,989/40,678/223 is 1/133800

Least Common Multiple of 75,40,223 with GCF Formula

Least Common Multiple of 75,40,223 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 75,40,223 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(75,40,223) = 1

common factors(in case of two or more numbers have common factors) = 5

GCF(75,40,223) x common factors =1 x 5 = 5

LCM(75,40,223) = ( 75 × 40 × 223 ) / 5

LCM(75,40,223) = 669000 / 5

LCM(75,40,223) = 133800


GCF of Fractions Calculation Examples

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GCF of Fractions Calculation Examples

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Frequently Asked Questions on Fractional GCF of 503/75, 989/40, 678/223

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 503/75, 989/40, 678/223?

Answer: GCF of Numerators as per given numbers 503/75, 989/40, 678/223 is

GCF of Numerators i.e. for 503,989,678 is 1

LCM of denominators i.e. for 75,40,223 is 133800.

Thus, GCF of Fractions is 1/133800.Finally, GCF of Fractions for 503/75, 989/40, 678/223 is 1/133800.