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 530/502, 385/667

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 530/502, 385/667 i.e 5/334834 easily. The following is the detailed procedure to determine the greatest common factor of fractions 530/502, 385/667.

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 530/502,385/667?

Given fractions are 530/502,385/667

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 530/502,385/667, numerators are 530,385

Denominators are 502,667

The GCF of 530,385 is 5 .

LCM of 502,667 is 334834.

The greatest common factor of 530/502,385/667 = [GCF of 530,385]/[LCM of 502,667]= 5/334834

Therefore, the GCF of 530/502,385/667 is 5/334834.

Greatest Common Factor of 530,385

To find the highest common factor of 530,385, we have to find the factors of both numbers and list the highest common factor.

The factors of 530 are 1, 2, 5, 10, 53, 106, 265, 530

The factors of 385 are 1, 5, 7, 11, 35, 55, 77, 385

The HCF of 530,385 is 5.

Lets's calculate GCF of 530,385

Greatest Common Factor (GCF) of 530,385 By Common Division

5 530, 385
106, 77

∴ So the GCF of the given numbers is 5 = 5

Greatest Common Factor of 530,385 By Matching Biggest Common Factor Method

Greatest Common Factor of 530,385 By Matching Biggest Common Factor Method

Now, list down the factors of 530

:

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

Now, list down the factors of 385

:

1,5,7,11,35,55,77,385

Greatest Common Factor

We found the factors 530,385 . The biggest common factor number is the GCF number.
So the greatest common factor 530,385 is 5.

Lets's calculate LCM of 502,667

Lowest Common Multiple of 502,667 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 334834

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 5/334834

Therefore, the GCF of Fractions 530/502,385/667 is 5/334834

Least Common Multiple of 502,667 with GCF Formula

Least Common Multiple of 502,667 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 502,667 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(502,667) = 1

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

GCF(502,667) x common factors =1 x 1 = 1

LCM(502,667) = ( 502 × 667 ) / 1

LCM(502,667) = 334834 / 1

LCM(502,667) = 334834


GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

FAQs on GCF of Fractions of 530/502, 385/667

1. What is the HCF of 530,385?

The HCF of 530,385 is 5

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 530/502, 385/667?

Answer: GCF of Numerators as per given numbers 530/502, 385/667 is

GCF of Numerators i.e. for 530,385 is 5

LCM of denominators i.e. for 502,667 is 334834.

Thus, GCF of Fractions is 5/334834.Finally, GCF of Fractions for 530/502, 385/667 is 5/334834.