Greatest Common Factor of 2305/66, 5138/510

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 2305/66, 5138/510

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 2305/66,5138/510

Given fractions are 2305/66,5138/510

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 2305,5138

Greatest Common Factor of Numerators i.e. GCF of 2305,5138 is 1 .

LCM of Denominators means LCM of 66,510 as per the given fractions.

LCM of 66,510 is 5610 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 2305,5138

GCF of Fractions 2305/66,5138/510 is 1/5610

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

Greatest Common Factor of 2305,5138 By Matching Biggest Common Factor Method

Greatest Common Factor of 2305,5138 By Matching Biggest Common Factor Method

Factors of 2305

List of positive integer factors of 2305 that divides 2305 without a remainder.

1,5,461,2305

Factors of 5138

List of positive integer factors of 5138 that divides 5138 without a remainder.

1,2,7,14,367,734,2569,5138

Greatest Common Factor

We found the factors 2305,5138 . The biggest common factor number is the GCF number.
So the greatest common factor 2305,5138 is 1.

Lets's calculate LCM of 66,510

2 66, 510
3 33, 255
11, 85

∴ So the LCM of the given numbers is 2 x 3 x 11 x 85 = 5610

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/5610

Therefore, the GCF of Fractions 2305/66,5138/510 is 1/5610

Least Common Multiple of 66,510 with GCF Formula

Least Common Multiple of 66,510 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 66,510 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(66,510) = 6

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

GCF(66,510) x common factors =6 x 1 = 6

LCM(66,510) = ( 66 × 510 ) / 6

LCM(66,510) = 33660 / 6

LCM(66,510) = 5610


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 2305/66, 5138/510

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 2305/66, 5138/510?

Answer: GCF of Numerators as per given numbers 2305/66, 5138/510 is

GCF of Numerators i.e. for 2305,5138 is 1

LCM of denominators i.e. for 66,510 is 5610.

Thus, GCF of Fractions is 1/5610.Finally, GCF of Fractions for 2305/66, 5138/510 is 1/5610.