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 510/52, 437/438

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 510/52, 437/438 i.e 1/11388 easily. The following is the detailed procedure to determine the greatest common factor of fractions 510/52, 437/438.

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 510/52,437/438?

Given fractions are 510/52,437/438

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 510/52,437/438, numerators are 510,437

Denominators are 52,438

The GCF of 510,437 is 1 .

LCM of 52,438 is 11388.

The greatest common factor of 510/52,437/438 = [GCF of 510,437]/[LCM of 52,438]= 1/11388

Therefore, the GCF of 510/52,437/438 is 1/11388.

Greatest Common Factor of 510,437

To find the highest common factor of 510,437, we have to find the factors of both numbers and list the highest common factor.

The factors of 510 are 1, 2, 3, 5, 6, 10, 15, 17, 30, 34, 51, 85, 102, 170, 255, 510

The factors of 437 are 1, 19, 23, 437

The HCF of 510,437 is 1.

Lets's calculate GCF of 510,437

Greatest Common Factor (GCF) of 510,437 By Common Division

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

Greatest Common Factor of 510,437 By Matching Biggest Common Factor Method

Greatest Common Factor of 510,437 By Matching Biggest Common Factor Method

Now, list down the factors of 510

:

1,2,3,5,6,10,15,17,30,34,51,85,102,170,255,510

Now, list down the factors of 437

:

1,19,23,437

Greatest Common Factor

We found the factors 510,437 . The biggest common factor number is the GCF number.
So the greatest common factor 510,437 is 1.

Lets's calculate LCM of 52,438

Lowest Common Multiple of 52,438 using Common Division

2 52, 438
26, 219

∴ So the LCM of the given numbers is 2 x 26 x 219 = 11388

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/11388

Therefore, the GCF of Fractions 510/52,437/438 is 1/11388

Least Common Multiple of 52,438 with GCF Formula

Least Common Multiple of 52,438 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 52,438 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(52,438) = 2

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

GCF(52,438) x common factors =2 x 1 = 2

LCM(52,438) = ( 52 × 438 ) / 2

LCM(52,438) = 22776 / 2

LCM(52,438) = 11388


GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

FAQs on GCF of Fractions of 510/52, 437/438

1. What is the HCF of 510,437?

The HCF of 510,437 is 1

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 510/52, 437/438?

Answer: GCF of Numerators as per given numbers 510/52, 437/438 is

GCF of Numerators i.e. for 510,437 is 1

LCM of denominators i.e. for 52,438 is 11388.

Thus, GCF of Fractions is 1/11388.Finally, GCF of Fractions for 510/52, 437/438 is 1/11388.