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 292/588, 524/625

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 292/588, 524/625 i.e 4/367500 easily. The following is the detailed procedure to determine the greatest common factor of fractions 292/588, 524/625.

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 292/588,524/625?

Given fractions are 292/588,524/625

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 292/588,524/625, numerators are 292,524

Denominators are 588,625

The GCF of 292,524 is 4 .

LCM of 588,625 is 367500.

The greatest common factor of 292/588,524/625 = [GCF of 292,524]/[LCM of 588,625]= 4/367500

Therefore, the GCF of 292/588,524/625 is 4/367500.

Greatest Common Factor of 292,524

To find the highest common factor of 292,524, we have to find the factors of both numbers and list the highest common factor.

The factors of 292 are 1, 2, 4, 73, 146, 292

The factors of 524 are 1, 2, 4, 131, 262, 524

The HCF of 292,524 is 4.

Lets's calculate GCF of 292,524

Greatest Common Factor (GCF) of 292,524 By Common Division

2 292, 524
2 146, 262
73, 131

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

Greatest Common Factor of 292,524 By Matching Biggest Common Factor Method

Greatest Common Factor of 292,524 By Matching Biggest Common Factor Method

Now, list down the factors of 292

:

1,2,4,73,146,292

Now, list down the factors of 524

:

1,2,4,131,262,524

Greatest Common Factor

We found the factors 292,524 . The biggest common factor number is the GCF number.
So the greatest common factor 292,524 is 4.

Lets's calculate LCM of 588,625

Lowest Common Multiple of 588,625 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 367500

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/367500

Therefore, the GCF of Fractions 292/588,524/625 is 4/367500

Least Common Multiple of 588,625 with GCF Formula

Least Common Multiple of 588,625 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 588,625 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(588,625) = 1

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

GCF(588,625) x common factors =1 x 1 = 1

LCM(588,625) = ( 588 × 625 ) / 1

LCM(588,625) = 367500 / 1

LCM(588,625) = 367500


GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

FAQs on GCF of Fractions of 292/588, 524/625

1. What is the HCF of 292,524?

The HCF of 292,524 is 4

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 292/588, 524/625?

Answer: GCF of Numerators as per given numbers 292/588, 524/625 is

GCF of Numerators i.e. for 292,524 is 4

LCM of denominators i.e. for 588,625 is 367500.

Thus, GCF of Fractions is 4/367500.Finally, GCF of Fractions for 292/588, 524/625 is 4/367500.