Greatest Common Factor of 68/504, 42/358, 537/304

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 68/504, 42/358, 537/304

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 68/504,42/358,537/304

Given fractions are 68/504,42/358,537/304

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 68,42,537

Greatest Common Factor of Numerators i.e. GCF of 68,42,537 is 1 .

LCM of Denominators means LCM of 504,358,304 as per the given fractions.

LCM of 504,358,304 is 3428208 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 68,42,537

GCF of Fractions 68/504,42/358,537/304 is 1/3428208

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

Greatest Common Factor of 68,42,537 By Matching Biggest Common Factor Method

Greatest Common Factor of 68,42,537 By Matching Biggest Common Factor Method

Factors of 68

List of positive integer factors of 68 that divides 68 without a remainder.

1,2,4,17,34,68

Factors of 42

List of positive integer factors of 42 that divides 42 without a remainder.

1,2,3,6,7,14,21,42

Factors of 537

List of positive integer factors of 537 that divides 537 without a remainder.

1,3,179,537

Greatest Common Factor

We found the factors 68,42,537 . The biggest common factor number is the GCF number.
So the greatest common factor 68,42,537 is 1.

Lets's calculate LCM of 504,358,304

2 504, 358, 304
2 252, 179, 152
2 126, 179, 76
63, 179, 38

∴ So the LCM of the given numbers is 2 x 2 x 2 x 63 x 179 x 38 = 3428208

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/3428208

Therefore, the GCF of Fractions 68/504,42/358,537/304 is 1/3428208

Least Common Multiple of 504,358,304 with GCF Formula

Least Common Multiple of 504,358,304 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 504,358,304 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(504,358,304) = 2

common factors(in case of two or more numbers have common factors) = 8

GCF(504,358,304) x common factors =2 x 8 = 16

LCM(504,358,304) = ( 504 × 358 × 304 ) / 16

LCM(504,358,304) = 54851328 / 16

LCM(504,358,304) = 3428208


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 68/504, 42/358, 537/304

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 68/504, 42/358, 537/304?

Answer: GCF of Numerators as per given numbers 68/504, 42/358, 537/304 is

GCF of Numerators i.e. for 68,42,537 is 1

LCM of denominators i.e. for 504,358,304 is 3428208.

Thus, GCF of Fractions is 1/3428208.Finally, GCF of Fractions for 68/504, 42/358, 537/304 is 1/3428208.