Greatest Common Factor of 506/256, 1155/625

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 506/256, 1155/625

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 506/256,1155/625

Given fractions are 506/256,1155/625

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 506,1155

Greatest Common Factor of Numerators i.e. GCF of 506,1155 is 11 .

LCM of Denominators means LCM of 256,625 as per the given fractions.

LCM of 256,625 is 160000 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 506,1155

GCF of Fractions 506/256,1155/625 is 11/160000

11 506, 1155
46, 105

∴ So the GCF of the given numbers is 11 = 11

Greatest Common Factor of 506,1155 By Matching Biggest Common Factor Method

Greatest Common Factor of 506,1155 By Matching Biggest Common Factor Method

Factors of 506

List of positive integer factors of 506 that divides 506 without a remainder.

1,2,11,22,23,46,253,506

Factors of 1155

List of positive integer factors of 1155 that divides 1155 without a remainder.

1,3,5,7,11,15,21,33,35,55,77,105,165,231,385,1155

Greatest Common Factor

We found the factors 506,1155 . The biggest common factor number is the GCF number.
So the greatest common factor 506,1155 is 11.

Lets's calculate LCM of 256,625

Given numbers has no common factors except 1. So, there LCM is their product i.e 160000

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 11/160000

Therefore, the GCF of Fractions 506/256,1155/625 is 11/160000

Least Common Multiple of 256,625 with GCF Formula

Least Common Multiple of 256,625 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 256,625 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(256,625) = 1

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

GCF(256,625) x common factors =1 x 1 = 1

LCM(256,625) = ( 256 × 625 ) / 1

LCM(256,625) = 160000 / 1

LCM(256,625) = 160000


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 506/256, 1155/625

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 506/256, 1155/625?

Answer: GCF of Numerators as per given numbers 506/256, 1155/625 is

GCF of Numerators i.e. for 506,1155 is 11

LCM of denominators i.e. for 256,625 is 160000.

Thus, GCF of Fractions is 11/160000.Finally, GCF of Fractions for 506/256, 1155/625 is 11/160000.