Greatest Common Factor of 512/890, 308/513

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 512/890, 308/513

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 512/890,308/513

Given fractions are 512/890,308/513

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 512,308

Greatest Common Factor of Numerators i.e. GCF of 512,308 is 4 .

LCM of Denominators means LCM of 890,513 as per the given fractions.

LCM of 890,513 is 456570 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 512,308

GCF of Fractions 512/890,308/513 is 4/456570

2 512, 308
2 256, 154
128, 77

∴ So the GCF of the given numbers is 2 x 2 = 4

Greatest Common Factor of 512,308 By Matching Biggest Common Factor Method

Greatest Common Factor of 512,308 By Matching Biggest Common Factor Method

Factors of 512

List of positive integer factors of 512 that divides 512 without a remainder.

1,2,4,8,16,32,64,128,256,512

Factors of 308

List of positive integer factors of 308 that divides 308 without a remainder.

1,2,4,7,11,14,22,28,44,77,154,308

Greatest Common Factor

We found the factors 512,308 . The biggest common factor number is the GCF number.
So the greatest common factor 512,308 is 4.

Lets's calculate LCM of 890,513

Given numbers has no common factors except 1. So, there LCM is their product i.e 456570

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/456570

Therefore, the GCF of Fractions 512/890,308/513 is 4/456570

Least Common Multiple of 890,513 with GCF Formula

Least Common Multiple of 890,513 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 890,513 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(890,513) = 1

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

GCF(890,513) x common factors =1 x 1 = 1

LCM(890,513) = ( 890 × 513 ) / 1

LCM(890,513) = 456570 / 1

LCM(890,513) = 456570


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 512/890, 308/513

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 512/890, 308/513?

Answer: GCF of Numerators as per given numbers 512/890, 308/513 is

GCF of Numerators i.e. for 512,308 is 4

LCM of denominators i.e. for 890,513 is 456570.

Thus, GCF of Fractions is 4/456570.Finally, GCF of Fractions for 512/890, 308/513 is 4/456570.