Greatest Common Factor of 983/15, 293/65, 923/217

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 983/15, 293/65, 923/217

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 983/15,293/65,923/217

Given fractions are 983/15,293/65,923/217

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 983,293,923

Greatest Common Factor of Numerators i.e. GCF of 983,293,923 is 1 .

LCM of Denominators means LCM of 15,65,217 as per the given fractions.

LCM of 15,65,217 is 42315 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 983,293,923

GCF of Fractions 983/15,293/65,923/217 is 1/42315

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

Greatest Common Factor of 983,293,923 By Matching Biggest Common Factor Method

Greatest Common Factor of 983,293,923 By Matching Biggest Common Factor Method

Factors of 983

List of positive integer factors of 983 that divides 983 without a remainder.

1,983

Factors of 293

List of positive integer factors of 293 that divides 293 without a remainder.

1,293

Factors of 923

List of positive integer factors of 923 that divides 923 without a remainder.

1,13,71,923

Greatest Common Factor

We found the factors 983,293,923 . The biggest common factor number is the GCF number.
So the greatest common factor 983,293,923 is 1.

Lets's calculate LCM of 15,65,217

5 15, 65, 217
3, 13, 217

∴ So the LCM of the given numbers is 5 x 3 x 13 x 217 = 42315

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/42315

Therefore, the GCF of Fractions 983/15,293/65,923/217 is 1/42315

Least Common Multiple of 15,65,217 with GCF Formula

Least Common Multiple of 15,65,217 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 15,65,217 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(15,65,217) = 1

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

GCF(15,65,217) x common factors =1 x 5 = 5

LCM(15,65,217) = ( 15 × 65 × 217 ) / 5

LCM(15,65,217) = 211575 / 5

LCM(15,65,217) = 42315


GCF of Fractions Calculation Examples

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GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

Frequently Asked Questions on Fractional GCF of 983/15, 293/65, 923/217

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 983/15, 293/65, 923/217?

Answer: GCF of Numerators as per given numbers 983/15, 293/65, 923/217 is

GCF of Numerators i.e. for 983,293,923 is 1

LCM of denominators i.e. for 15,65,217 is 42315.

Thus, GCF of Fractions is 1/42315.Finally, GCF of Fractions for 983/15, 293/65, 923/217 is 1/42315.