Greatest Common Factor of 59/105, 427/680, 720/522

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 59/105, 427/680, 720/522

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 59/105,427/680,720/522

Given fractions are 59/105,427/680,720/522

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 59,427,720

Greatest Common Factor of Numerators i.e. GCF of 59,427,720 is 1 .

LCM of Denominators means LCM of 105,680,522 as per the given fractions.

LCM of 105,680,522 is 1242360 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 59,427,720

GCF of Fractions 59/105,427/680,720/522 is 1/1242360

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

Greatest Common Factor of 59,427,720 By Matching Biggest Common Factor Method

Greatest Common Factor of 59,427,720 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 427

List of positive integer factors of 427 that divides 427 without a remainder.

1,7,61,427

Factors of 720

List of positive integer factors of 720 that divides 720 without a remainder.

1,2,3,4,5,6,8,9,10,12,15,16,18,20,24,30,36,40,45,48,60,72,80,90,120,144,180,240,360,720

Greatest Common Factor

We found the factors 59,427,720 . The biggest common factor number is the GCF number.
So the greatest common factor 59,427,720 is 1.

Lets's calculate LCM of 105,680,522

2 105, 680, 522
3 105, 340, 261
5 35, 340, 87
7, 68, 87

∴ So the LCM of the given numbers is 2 x 3 x 5 x 7 x 68 x 87 = 1242360

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1242360

Therefore, the GCF of Fractions 59/105,427/680,720/522 is 1/1242360

Least Common Multiple of 105,680,522 with GCF Formula

Least Common Multiple of 105,680,522 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 105,680,522 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(105,680,522) = 1

common factors(in case of two or more numbers have common factors) = 30

GCF(105,680,522) x common factors =1 x 30 = 30

LCM(105,680,522) = ( 105 × 680 × 522 ) / 30

LCM(105,680,522) = 37270800 / 30

LCM(105,680,522) = 1242360


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 59/105, 427/680, 720/522

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 59/105, 427/680, 720/522?

Answer: GCF of Numerators as per given numbers 59/105, 427/680, 720/522 is

GCF of Numerators i.e. for 59,427,720 is 1

LCM of denominators i.e. for 105,680,522 is 1242360.

Thus, GCF of Fractions is 1/1242360.Finally, GCF of Fractions for 59/105, 427/680, 720/522 is 1/1242360.