Greatest Common Factor of 68/707, 88/273, 624/585

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 68/707, 88/273, 624/585

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 68/707,88/273,624/585

Given fractions are 68/707,88/273,624/585

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 68,88,624

Greatest Common Factor of Numerators i.e. GCF of 68,88,624 is 4 .

LCM of Denominators means LCM of 707,273,585 as per the given fractions.

LCM of 707,273,585 is 413595 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 68,88,624

GCF of Fractions 68/707,88/273,624/585 is 4/413595

2 68, 88, 624
2 34, 44, 312
17, 22, 156

∴ So the GCF of the given numbers is 2 x 2 = 4

Greatest Common Factor of 68,88,624 By Matching Biggest Common Factor Method

Greatest Common Factor of 68,88,624 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 88

List of positive integer factors of 88 that divides 88 without a remainder.

1,2,4,8,11,22,44,88

Factors of 624

List of positive integer factors of 624 that divides 624 without a remainder.

1,2,3,4,6,8,12,13,16,24,26,39,48,52,78,104,156,208,312,624

Greatest Common Factor

We found the factors 68,88,624 . The biggest common factor number is the GCF number.
So the greatest common factor 68,88,624 is 4.

Lets's calculate LCM of 707,273,585

3 707, 273, 585
7 707, 91, 195
13 101, 13, 195
101, 1, 15

∴ So the LCM of the given numbers is 3 x 7 x 13 x 101 x 1 x 15 = 413595

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/413595

Therefore, the GCF of Fractions 68/707,88/273,624/585 is 4/413595

Least Common Multiple of 707,273,585 with GCF Formula

Least Common Multiple of 707,273,585 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 707,273,585 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(707,273,585) = 1

common factors(in case of two or more numbers have common factors) = 273

GCF(707,273,585) x common factors =1 x 273 = 273

LCM(707,273,585) = ( 707 × 273 × 585 ) / 273

LCM(707,273,585) = 112911435 / 273

LCM(707,273,585) = 413595


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 68/707, 88/273, 624/585

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 68/707, 88/273, 624/585?

Answer: GCF of Numerators as per given numbers 68/707, 88/273, 624/585 is

GCF of Numerators i.e. for 68,88,624 is 4

LCM of denominators i.e. for 707,273,585 is 413595.

Thus, GCF of Fractions is 4/413595.Finally, GCF of Fractions for 68/707, 88/273, 624/585 is 4/413595.