Greatest Common Factor of 4945/580, 9471/8516

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 4945/580, 9471/8516

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 4945/580,9471/8516

Given fractions are 4945/580,9471/8516

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 4945,9471

Greatest Common Factor of Numerators i.e. GCF of 4945,9471 is 1 .

LCM of Denominators means LCM of 580,8516 as per the given fractions.

LCM of 580,8516 is 1234820 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 4945,9471

GCF of Fractions 4945/580,9471/8516 is 1/1234820

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

Greatest Common Factor of 4945,9471 By Matching Biggest Common Factor Method

Greatest Common Factor of 4945,9471 By Matching Biggest Common Factor Method

Factors of 4945

List of positive integer factors of 4945 that divides 4945 without a remainder.

1,5,23,43,115,215,989,4945

Factors of 9471

List of positive integer factors of 9471 that divides 9471 without a remainder.

1,3,7,11,21,33,41,77,123,231,287,451,861,1353,3157,9471

Greatest Common Factor

We found the factors 4945,9471 . The biggest common factor number is the GCF number.
So the greatest common factor 4945,9471 is 1.

Lets's calculate LCM of 580,8516

2 580, 8516
2 290, 4258
145, 2129

∴ So the LCM of the given numbers is 2 x 2 x 145 x 2129 = 1234820

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1234820

Therefore, the GCF of Fractions 4945/580,9471/8516 is 1/1234820

Least Common Multiple of 580,8516 with GCF Formula

Least Common Multiple of 580,8516 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 580,8516 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(580,8516) = 4

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

GCF(580,8516) x common factors =4 x 1 = 4

LCM(580,8516) = ( 580 × 8516 ) / 4

LCM(580,8516) = 4939280 / 4

LCM(580,8516) = 1234820


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 4945/580, 9471/8516

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 4945/580, 9471/8516?

Answer: GCF of Numerators as per given numbers 4945/580, 9471/8516 is

GCF of Numerators i.e. for 4945,9471 is 1

LCM of denominators i.e. for 580,8516 is 1234820.

Thus, GCF of Fractions is 1/1234820.Finally, GCF of Fractions for 4945/580, 9471/8516 is 1/1234820.