Greatest Common Factor of 493/465, 952/983, 438/234

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 493/465, 952/983, 438/234

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 493/465,952/983,438/234

Given fractions are 493/465,952/983,438/234

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 493,952,438

Greatest Common Factor of Numerators i.e. GCF of 493,952,438 is 1 .

LCM of Denominators means LCM of 465,983,234 as per the given fractions.

LCM of 465,983,234 is 35653410 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 493,952,438

GCF of Fractions 493/465,952/983,438/234 is 1/35653410

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

Greatest Common Factor of 493,952,438 By Matching Biggest Common Factor Method

Greatest Common Factor of 493,952,438 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 952

List of positive integer factors of 952 that divides 952 without a remainder.

1,2,4,7,8,14,17,28,34,56,68,119,136,238,476,952

Factors of 438

List of positive integer factors of 438 that divides 438 without a remainder.

1,2,3,6,73,146,219,438

Greatest Common Factor

We found the factors 493,952,438 . The biggest common factor number is the GCF number.
So the greatest common factor 493,952,438 is 1.

Lets's calculate LCM of 465,983,234

3 465, 983, 234
155, 983, 78

∴ So the LCM of the given numbers is 3 x 155 x 983 x 78 = 35653410

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/35653410

Therefore, the GCF of Fractions 493/465,952/983,438/234 is 1/35653410

Least Common Multiple of 465,983,234 with GCF Formula

Least Common Multiple of 465,983,234 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 465,983,234 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(465,983,234) = 1

common factors(in case of two or more numbers have common factors) = 3

GCF(465,983,234) x common factors =1 x 3 = 3

LCM(465,983,234) = ( 465 × 983 × 234 ) / 3

LCM(465,983,234) = 106960230 / 3

LCM(465,983,234) = 35653410


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 493/465, 952/983, 438/234

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 493/465, 952/983, 438/234?

Answer: GCF of Numerators as per given numbers 493/465, 952/983, 438/234 is

GCF of Numerators i.e. for 493,952,438 is 1

LCM of denominators i.e. for 465,983,234 is 35653410.

Thus, GCF of Fractions is 1/35653410.Finally, GCF of Fractions for 493/465, 952/983, 438/234 is 1/35653410.