LCM of 3 Numbers Calculator LCM of 4 Numbers Calculator LCM of 5 Numbers Calculator LCD Calculator How to find LCM LCM and HCF Questions Least Common Denominator Calculator Greatest Common Divisor Calculator HCF Calculator HCF of 3 Numbers Calculator HCF of 4 Numbers Calculator GCD Calculator Greatest Common Factor Calculator Least Common Multiple Calculator Common Factors Calculator

GCF of 512/57, 802/277

Created By : Veerendra
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023

Use our free GCF of Fractions Calculator tool to compute the GCF of 512/57, 802/277 i.e 2/15789 easily. The following is the detailed procedure to determine the greatest common factor of fractions 512/57, 802/277.

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

GCF of:

What is the GCF of 512/57,802/277?

Given fractions are 512/57,802/277

To find the GCF of fractions, we have to find the GCF of numerator numbers and LCM of denominator numbers. Its formula is given by

GCF of Fraction = Greatest Common Factor of Numerator/Least Common Multiple of Denominators

In the fractions 512/57,802/277, numerators are 512,802

Denominators are 57,277

The GCF of 512,802 is 2 .

LCM of 57,277 is 15789.

The greatest common factor of 512/57,802/277 = [GCF of 512,802]/[LCM of 57,277]= 2/15789

Therefore, the GCF of 512/57,802/277 is 2/15789.

Greatest Common Factor of 512,802

To find the highest common factor of 512,802, we have to find the factors of both numbers and list the highest common factor.

The factors of 512 are 1, 2, 4, 8, 16, 32, 64, 128, 256, 512

The factors of 802 are 1, 2, 401, 802

The HCF of 512,802 is 2.

Lets's calculate GCF of 512,802

Greatest Common Factor (GCF) of 512,802 By Common Division

2 512, 802
256, 401

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

Greatest Common Factor of 512,802 By Matching Biggest Common Factor Method

Greatest Common Factor of 512,802 By Matching Biggest Common Factor Method

Now, list down the factors of 512

:

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

Now, list down the factors of 802

:

1,2,401,802

Greatest Common Factor

We found the factors 512,802 . The biggest common factor number is the GCF number.
So the greatest common factor 512,802 is 2.

Lets's calculate LCM of 57,277

Lowest Common Multiple of 57,277 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 15789

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/15789

Therefore, the GCF of Fractions 512/57,802/277 is 2/15789

Least Common Multiple of 57,277 with GCF Formula

Least Common Multiple of 57,277 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 57,277 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(57,277) = 1

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

GCF(57,277) x common factors =1 x 1 = 1

LCM(57,277) = ( 57 × 277 ) / 1

LCM(57,277) = 15789 / 1

LCM(57,277) = 15789


GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

FAQs on GCF of Fractions of 512/57, 802/277

1. What is the HCF of 512,802?

The HCF of 512,802 is 2

2. What is the GCF of a fraction?

The GCF of a fraction is defined as the greatest fraction that divides exactly into 2 or more fractions.

3. 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.

4. What is the GCF of Fractions for 512/57, 802/277?

Answer: GCF of Numerators as per given numbers 512/57, 802/277 is

GCF of Numerators i.e. for 512,802 is 2

LCM of denominators i.e. for 57,277 is 15789.

Thus, GCF of Fractions is 2/15789.Finally, GCF of Fractions for 512/57, 802/277 is 2/15789.