Greatest Common Factor of 5204/160, 1615/505

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 5204/160, 1615/505

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 5204/160,1615/505

Given fractions are 5204/160,1615/505

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 5204,1615

Greatest Common Factor of Numerators i.e. GCF of 5204,1615 is 1 .

LCM of Denominators means LCM of 160,505 as per the given fractions.

LCM of 160,505 is 16160 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 5204,1615

GCF of Fractions 5204/160,1615/505 is 1/16160

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

Greatest Common Factor of 5204,1615 By Matching Biggest Common Factor Method

Greatest Common Factor of 5204,1615 By Matching Biggest Common Factor Method

Factors of 5204

List of positive integer factors of 5204 that divides 5204 without a remainder.

1,2,4,1301,2602,5204

Factors of 1615

List of positive integer factors of 1615 that divides 1615 without a remainder.

1,5,17,19,85,95,323,1615

Greatest Common Factor

We found the factors 5204,1615 . The biggest common factor number is the GCF number.
So the greatest common factor 5204,1615 is 1.

Lets's calculate LCM of 160,505

5 160, 505
32, 101

∴ So the LCM of the given numbers is 5 x 32 x 101 = 16160

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/16160

Therefore, the GCF of Fractions 5204/160,1615/505 is 1/16160

Least Common Multiple of 160,505 with GCF Formula

Least Common Multiple of 160,505 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 160,505 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(160,505) = 5

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

GCF(160,505) x common factors =5 x 1 = 5

LCM(160,505) = ( 160 × 505 ) / 5

LCM(160,505) = 80800 / 5

LCM(160,505) = 16160


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 5204/160, 1615/505

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 5204/160, 1615/505?

Answer: GCF of Numerators as per given numbers 5204/160, 1615/505 is

GCF of Numerators i.e. for 5204,1615 is 1

LCM of denominators i.e. for 160,505 is 16160.

Thus, GCF of Fractions is 1/16160.Finally, GCF of Fractions for 5204/160, 1615/505 is 1/16160.