Greatest Common Factor of 4682/844, 5169/315

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 4682/844, 5169/315

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 4682/844,5169/315

Given fractions are 4682/844,5169/315

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 4682,5169

Greatest Common Factor of Numerators i.e. GCF of 4682,5169 is 1 .

LCM of Denominators means LCM of 844,315 as per the given fractions.

LCM of 844,315 is 265860 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 4682,5169

GCF of Fractions 4682/844,5169/315 is 1/265860

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

Greatest Common Factor of 4682,5169 By Matching Biggest Common Factor Method

Greatest Common Factor of 4682,5169 By Matching Biggest Common Factor Method

Factors of 4682

List of positive integer factors of 4682 that divides 4682 without a remainder.

1,2,2341,4682

Factors of 5169

List of positive integer factors of 5169 that divides 5169 without a remainder.

1,3,1723,5169

Greatest Common Factor

We found the factors 4682,5169 . The biggest common factor number is the GCF number.
So the greatest common factor 4682,5169 is 1.

Lets's calculate LCM of 844,315

Given numbers has no common factors except 1. So, there LCM is their product i.e 265860

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/265860

Therefore, the GCF of Fractions 4682/844,5169/315 is 1/265860

Least Common Multiple of 844,315 with GCF Formula

Least Common Multiple of 844,315 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 844,315 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(844,315) = 1

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

GCF(844,315) x common factors =1 x 1 = 1

LCM(844,315) = ( 844 × 315 ) / 1

LCM(844,315) = 265860 / 1

LCM(844,315) = 265860


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 4682/844, 5169/315

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 4682/844, 5169/315?

Answer: GCF of Numerators as per given numbers 4682/844, 5169/315 is

GCF of Numerators i.e. for 4682,5169 is 1

LCM of denominators i.e. for 844,315 is 265860.

Thus, GCF of Fractions is 1/265860.Finally, GCF of Fractions for 4682/844, 5169/315 is 1/265860.