Greatest Common Factor of 493/965, 930/146, 837/144

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 493/965, 930/146, 837/144

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 493/965,930/146,837/144

Given fractions are 493/965,930/146,837/144

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 493,930,837

Greatest Common Factor of Numerators i.e. GCF of 493,930,837 is 1 .

LCM of Denominators means LCM of 965,146,144 as per the given fractions.

LCM of 965,146,144 is 10144080 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 493,930,837

GCF of Fractions 493/965,930/146,837/144 is 1/10144080

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

Greatest Common Factor of 493,930,837 By Matching Biggest Common Factor Method

Greatest Common Factor of 493,930,837 By Matching Biggest Common Factor Method

Factors of 493

List of positive integer factors of 493 that divides 493 without a remainder.

1,17,29,493

Factors of 930

List of positive integer factors of 930 that divides 930 without a remainder.

1,2,3,5,6,10,15,30,31,62,93,155,186,310,465,930

Factors of 837

List of positive integer factors of 837 that divides 837 without a remainder.

1,3,9,27,31,93,279,837

Greatest Common Factor

We found the factors 493,930,837 . The biggest common factor number is the GCF number.
So the greatest common factor 493,930,837 is 1.

Lets's calculate LCM of 965,146,144

2 965, 146, 144
965, 73, 72

∴ So the LCM of the given numbers is 2 x 965 x 73 x 72 = 10144080

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/10144080

Therefore, the GCF of Fractions 493/965,930/146,837/144 is 1/10144080

Least Common Multiple of 965,146,144 with GCF Formula

Least Common Multiple of 965,146,144 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 965,146,144 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(965,146,144) = 1

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

GCF(965,146,144) x common factors =1 x 2 = 2

LCM(965,146,144) = ( 965 × 146 × 144 ) / 2

LCM(965,146,144) = 20288160 / 2

LCM(965,146,144) = 10144080


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 493/965, 930/146, 837/144

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 493/965, 930/146, 837/144?

Answer: GCF of Numerators as per given numbers 493/965, 930/146, 837/144 is

GCF of Numerators i.e. for 493,930,837 is 1

LCM of denominators i.e. for 965,146,144 is 10144080.

Thus, GCF of Fractions is 1/10144080.Finally, GCF of Fractions for 493/965, 930/146, 837/144 is 1/10144080.