Greatest Common Factor of 59/924, 216/640, 342/434

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 59/924, 216/640, 342/434

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 59/924,216/640,342/434

Given fractions are 59/924,216/640,342/434

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 59,216,342

Greatest Common Factor of Numerators i.e. GCF of 59,216,342 is 1 .

LCM of Denominators means LCM of 924,640,434 as per the given fractions.

LCM of 924,640,434 is 4583040 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 59,216,342

GCF of Fractions 59/924,216/640,342/434 is 1/4583040

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

Greatest Common Factor of 59,216,342 By Matching Biggest Common Factor Method

Greatest Common Factor of 59,216,342 By Matching Biggest Common Factor Method

Factors of 59

List of positive integer factors of 59 that divides 59 without a remainder.

1,59

Factors of 216

List of positive integer factors of 216 that divides 216 without a remainder.

1,2,3,4,6,8,9,12,18,24,27,36,54,72,108,216

Factors of 342

List of positive integer factors of 342 that divides 342 without a remainder.

1,2,3,6,9,18,19,38,57,114,171,342

Greatest Common Factor

We found the factors 59,216,342 . The biggest common factor number is the GCF number.
So the greatest common factor 59,216,342 is 1.

Lets's calculate LCM of 924,640,434

2 924, 640, 434
2 462, 320, 217
7 231, 160, 217
33, 160, 31

∴ So the LCM of the given numbers is 2 x 2 x 7 x 33 x 160 x 31 = 4583040

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/4583040

Therefore, the GCF of Fractions 59/924,216/640,342/434 is 1/4583040

Least Common Multiple of 924,640,434 with GCF Formula

Least Common Multiple of 924,640,434 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 924,640,434 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(924,640,434) = 2

common factors(in case of two or more numbers have common factors) = 28

GCF(924,640,434) x common factors =2 x 28 = 56

LCM(924,640,434) = ( 924 × 640 × 434 ) / 56

LCM(924,640,434) = 256650240 / 56

LCM(924,640,434) = 4583040


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 59/924, 216/640, 342/434

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 59/924, 216/640, 342/434?

Answer: GCF of Numerators as per given numbers 59/924, 216/640, 342/434 is

GCF of Numerators i.e. for 59,216,342 is 1

LCM of denominators i.e. for 924,640,434 is 4583040.

Thus, GCF of Fractions is 1/4583040.Finally, GCF of Fractions for 59/924, 216/640, 342/434 is 1/4583040.