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 565/237, 525/755

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 565/237, 525/755 i.e 5/178935 easily. The following is the detailed procedure to determine the greatest common factor of fractions 565/237, 525/755.

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 565/237,525/755?

Given fractions are 565/237,525/755

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 565/237,525/755, numerators are 565,525

Denominators are 237,755

The GCF of 565,525 is 5 .

LCM of 237,755 is 178935.

The greatest common factor of 565/237,525/755 = [GCF of 565,525]/[LCM of 237,755]= 5/178935

Therefore, the GCF of 565/237,525/755 is 5/178935.

Greatest Common Factor of 565,525

To find the highest common factor of 565,525, we have to find the factors of both numbers and list the highest common factor.

The factors of 565 are 1, 5, 113, 565

The factors of 525 are 1, 3, 5, 7, 15, 21, 25, 35, 75, 105, 175, 525

The HCF of 565,525 is 5.

Lets's calculate GCF of 565,525

Greatest Common Factor (GCF) of 565,525 By Common Division

5 565, 525
113, 105

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

Greatest Common Factor of 565,525 By Matching Biggest Common Factor Method

Greatest Common Factor of 565,525 By Matching Biggest Common Factor Method

Now, list down the factors of 565

:

1,5,113,565

Now, list down the factors of 525

:

1,3,5,7,15,21,25,35,75,105,175,525

Greatest Common Factor

We found the factors 565,525 . The biggest common factor number is the GCF number.
So the greatest common factor 565,525 is 5.

Lets's calculate LCM of 237,755

Lowest Common Multiple of 237,755 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 178935

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 5/178935

Therefore, the GCF of Fractions 565/237,525/755 is 5/178935

Least Common Multiple of 237,755 with GCF Formula

Least Common Multiple of 237,755 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 237,755 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(237,755) = 1

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

GCF(237,755) x common factors =1 x 1 = 1

LCM(237,755) = ( 237 × 755 ) / 1

LCM(237,755) = 178935 / 1

LCM(237,755) = 178935


GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

FAQs on GCF of Fractions of 565/237, 525/755

1. What is the HCF of 565,525?

The HCF of 565,525 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 565/237, 525/755?

Answer: GCF of Numerators as per given numbers 565/237, 525/755 is

GCF of Numerators i.e. for 565,525 is 5

LCM of denominators i.e. for 237,755 is 178935.

Thus, GCF of Fractions is 5/178935.Finally, GCF of Fractions for 565/237, 525/755 is 5/178935.