Greatest Common Factor of 3600/53, 9410/159

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 3600/53, 9410/159

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 3600/53,9410/159

Given fractions are 3600/53,9410/159

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 3600,9410

Greatest Common Factor of Numerators i.e. GCF of 3600,9410 is 10 .

LCM of Denominators means LCM of 53,159 as per the given fractions.

LCM of 53,159 is 159 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 3600,9410

GCF of Fractions 3600/53,9410/159 is 10/159

2 3600, 9410
5 1800, 4705
360, 941

∴ So the GCF of the given numbers is 2 x 5 = 10

Greatest Common Factor of 3600,9410 By Matching Biggest Common Factor Method

Greatest Common Factor of 3600,9410 By Matching Biggest Common Factor Method

Factors of 3600

List of positive integer factors of 3600 that divides 3600 without a remainder.

1,2,3,4,5,6,8,9,10,12,15,16,18,20,24,25,30,36,40,45,48,50,60,72,75,80,90,100,120,144,150,180,200,225,240,300,360,400,450,600,720,900,1200,1800,3600

Factors of 9410

List of positive integer factors of 9410 that divides 9410 without a remainder.

1,2,5,10,941,1882,4705,9410

Greatest Common Factor

We found the factors 3600,9410 . The biggest common factor number is the GCF number.
So the greatest common factor 3600,9410 is 10.

Lets's calculate LCM of 53,159

53 53, 159
1, 3

∴ So the LCM of the given numbers is 53 x 1 x 3 = 159

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 10/159

Therefore, the GCF of Fractions 3600/53,9410/159 is 10/159

Least Common Multiple of 53,159 with GCF Formula

Least Common Multiple of 53,159 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 53,159 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(53,159) = 53

common factors(in case of two or more numbers have common factors) = 1

GCF(53,159) x common factors =53 x 1 = 53

LCM(53,159) = ( 53 × 159 ) / 53

LCM(53,159) = 8427 / 53

LCM(53,159) = 159


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 3600/53, 9410/159

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 3600/53, 9410/159?

Answer: GCF of Numerators as per given numbers 3600/53, 9410/159 is

GCF of Numerators i.e. for 3600,9410 is 10

LCM of denominators i.e. for 53,159 is 159.

Thus, GCF of Fractions is 10/159.Finally, GCF of Fractions for 3600/53, 9410/159 is 10/159.