Greatest Common Factor of 924/658, 495/856, 734/617

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 924/658, 495/856, 734/617

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 924/658,495/856,734/617

Given fractions are 924/658,495/856,734/617

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 924,495,734

Greatest Common Factor of Numerators i.e. GCF of 924,495,734 is 1 .

LCM of Denominators means LCM of 658,856,617 as per the given fractions.

LCM of 658,856,617 is 173762008 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 924,495,734

GCF of Fractions 924/658,495/856,734/617 is 1/173762008

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

Greatest Common Factor of 924,495,734 By Matching Biggest Common Factor Method

Greatest Common Factor of 924,495,734 By Matching Biggest Common Factor Method

Factors of 924

List of positive integer factors of 924 that divides 924 without a remainder.

1,2,3,4,6,7,11,12,14,21,22,28,33,42,44,66,77,84,132,154,231,308,462,924

Factors of 495

List of positive integer factors of 495 that divides 495 without a remainder.

1,3,5,9,11,15,33,45,55,99,165,495

Factors of 734

List of positive integer factors of 734 that divides 734 without a remainder.

1,2,367,734

Greatest Common Factor

We found the factors 924,495,734 . The biggest common factor number is the GCF number.
So the greatest common factor 924,495,734 is 1.

Lets's calculate LCM of 658,856,617

2 658, 856, 617
329, 428, 617

∴ So the LCM of the given numbers is 2 x 329 x 428 x 617 = 173762008

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/173762008

Therefore, the GCF of Fractions 924/658,495/856,734/617 is 1/173762008

Least Common Multiple of 658,856,617 with GCF Formula

Least Common Multiple of 658,856,617 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 658,856,617 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(658,856,617) = 1

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

GCF(658,856,617) x common factors =1 x 2 = 2

LCM(658,856,617) = ( 658 × 856 × 617 ) / 2

LCM(658,856,617) = 347524016 / 2

LCM(658,856,617) = 173762008


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 924/658, 495/856, 734/617

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 924/658, 495/856, 734/617?

Answer: GCF of Numerators as per given numbers 924/658, 495/856, 734/617 is

GCF of Numerators i.e. for 924,495,734 is 1

LCM of denominators i.e. for 658,856,617 is 173762008.

Thus, GCF of Fractions is 1/173762008.Finally, GCF of Fractions for 924/658, 495/856, 734/617 is 1/173762008.