Greatest Common Factor of 618/56, 503/54, 279/989

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 618/56, 503/54, 279/989

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 618/56,503/54,279/989

Given fractions are 618/56,503/54,279/989

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 618,503,279

Greatest Common Factor of Numerators i.e. GCF of 618,503,279 is 1 .

LCM of Denominators means LCM of 56,54,989 as per the given fractions.

LCM of 56,54,989 is 1495368 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 618,503,279

GCF of Fractions 618/56,503/54,279/989 is 1/1495368

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

Greatest Common Factor of 618,503,279 By Matching Biggest Common Factor Method

Greatest Common Factor of 618,503,279 By Matching Biggest Common Factor Method

Factors of 618

List of positive integer factors of 618 that divides 618 without a remainder.

1,2,3,6,103,206,309,618

Factors of 503

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

1,503

Factors of 279

List of positive integer factors of 279 that divides 279 without a remainder.

1,3,9,31,93,279

Greatest Common Factor

We found the factors 618,503,279 . The biggest common factor number is the GCF number.
So the greatest common factor 618,503,279 is 1.

Lets's calculate LCM of 56,54,989

2 56, 54, 989
28, 27, 989

∴ So the LCM of the given numbers is 2 x 28 x 27 x 989 = 1495368

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1495368

Therefore, the GCF of Fractions 618/56,503/54,279/989 is 1/1495368

Least Common Multiple of 56,54,989 with GCF Formula

Least Common Multiple of 56,54,989 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 56,54,989 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(56,54,989) = 1

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

GCF(56,54,989) x common factors =1 x 2 = 2

LCM(56,54,989) = ( 56 × 54 × 989 ) / 2

LCM(56,54,989) = 2990736 / 2

LCM(56,54,989) = 1495368


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 618/56, 503/54, 279/989

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 618/56, 503/54, 279/989?

Answer: GCF of Numerators as per given numbers 618/56, 503/54, 279/989 is

GCF of Numerators i.e. for 618,503,279 is 1

LCM of denominators i.e. for 56,54,989 is 1495368.

Thus, GCF of Fractions is 1/1495368.Finally, GCF of Fractions for 618/56, 503/54, 279/989 is 1/1495368.