Greatest Common Factor of 530/64, 306/374

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 530/64, 306/374

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 530/64,306/374

Given fractions are 530/64,306/374

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 530,306

Greatest Common Factor of Numerators i.e. GCF of 530,306 is 2 .

LCM of Denominators means LCM of 64,374 as per the given fractions.

LCM of 64,374 is 11968 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 530,306

GCF of Fractions 530/64,306/374 is 2/11968

2 530, 306
265, 153

∴ So the GCF of the given numbers is 2 = 2

Greatest Common Factor of 530,306 By Matching Biggest Common Factor Method

Greatest Common Factor of 530,306 By Matching Biggest Common Factor Method

Factors of 530

List of positive integer factors of 530 that divides 530 without a remainder.

1,2,5,10,53,106,265,530

Factors of 306

List of positive integer factors of 306 that divides 306 without a remainder.

1,2,3,6,9,17,18,34,51,102,153,306

Greatest Common Factor

We found the factors 530,306 . The biggest common factor number is the GCF number.
So the greatest common factor 530,306 is 2.

Lets's calculate LCM of 64,374

2 64, 374
32, 187

∴ So the LCM of the given numbers is 2 x 32 x 187 = 11968

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/11968

Therefore, the GCF of Fractions 530/64,306/374 is 2/11968

Least Common Multiple of 64,374 with GCF Formula

Least Common Multiple of 64,374 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 64,374 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(64,374) = 2

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

GCF(64,374) x common factors =2 x 1 = 2

LCM(64,374) = ( 64 × 374 ) / 2

LCM(64,374) = 23936 / 2

LCM(64,374) = 11968


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 530/64, 306/374

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 530/64, 306/374?

Answer: GCF of Numerators as per given numbers 530/64, 306/374 is

GCF of Numerators i.e. for 530,306 is 2

LCM of denominators i.e. for 64,374 is 11968.

Thus, GCF of Fractions is 2/11968.Finally, GCF of Fractions for 530/64, 306/374 is 2/11968.