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 285/525, 2917/2583

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 285/525, 2917/2583 i.e 1/64575 easily. The following is the detailed procedure to determine the greatest common factor of fractions 285/525, 2917/2583.

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 285/525,2917/2583?

Given fractions are 285/525,2917/2583

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 285/525,2917/2583, numerators are 285,2917

Denominators are 525,2583

The GCF of 285,2917 is 1 .

LCM of 525,2583 is 64575.

The greatest common factor of 285/525,2917/2583 = [GCF of 285,2917]/[LCM of 525,2583]= 1/64575

Therefore, the GCF of 285/525,2917/2583 is 1/64575.

Greatest Common Factor of 285,2917

To find the highest common factor of 285,2917, we have to find the factors of both numbers and list the highest common factor.

The factors of 285 are 1, 3, 5, 15, 19, 57, 95, 285

The factors of 2917 are 1, 2917

The HCF of 285,2917 is 1.

Lets's calculate GCF of 285,2917

Greatest Common Factor (GCF) of 285,2917 By Common Division

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

Greatest Common Factor of 285,2917 By Matching Biggest Common Factor Method

Greatest Common Factor of 285,2917 By Matching Biggest Common Factor Method

Now, list down the factors of 285

:

1,3,5,15,19,57,95,285

Now, list down the factors of 2917

:

1,2917

Greatest Common Factor

We found the factors 285,2917 . The biggest common factor number is the GCF number.
So the greatest common factor 285,2917 is 1.

Lets's calculate LCM of 525,2583

Lowest Common Multiple of 525,2583 using Common Division

3 525, 2583
7 175, 861
25, 123

∴ So the LCM of the given numbers is 3 x 7 x 25 x 123 = 64575

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/64575

Therefore, the GCF of Fractions 285/525,2917/2583 is 1/64575

Least Common Multiple of 525,2583 with GCF Formula

Least Common Multiple of 525,2583 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 525,2583 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(525,2583) = 21

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

GCF(525,2583) x common factors =21 x 1 = 21

LCM(525,2583) = ( 525 × 2583 ) / 21

LCM(525,2583) = 1356075 / 21

LCM(525,2583) = 64575


GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

FAQs on GCF of Fractions of 285/525, 2917/2583

1. What is the HCF of 285,2917?

The HCF of 285,2917 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 285/525, 2917/2583?

Answer: GCF of Numerators as per given numbers 285/525, 2917/2583 is

GCF of Numerators i.e. for 285,2917 is 1

LCM of denominators i.e. for 525,2583 is 64575.

Thus, GCF of Fractions is 1/64575.Finally, GCF of Fractions for 285/525, 2917/2583 is 1/64575.