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 2412/604, 2585/4510

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 2412/604, 2585/4510 i.e 1/1362020 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2412/604, 2585/4510.

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 2412/604,2585/4510?

Given fractions are 2412/604,2585/4510

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 2412/604,2585/4510, numerators are 2412,2585

Denominators are 604,4510

The GCF of 2412,2585 is 1 .

LCM of 604,4510 is 1362020.

The greatest common factor of 2412/604,2585/4510 = [GCF of 2412,2585]/[LCM of 604,4510]= 1/1362020

Therefore, the GCF of 2412/604,2585/4510 is 1/1362020.

Greatest Common Factor of 2412,2585

To find the highest common factor of 2412,2585, we have to find the factors of both numbers and list the highest common factor.

The factors of 2412 are 1, 2, 3, 4, 6, 9, 12, 18, 36, 67, 134, 201, 268, 402, 603, 804, 1206, 2412

The factors of 2585 are 1, 5, 11, 47, 55, 235, 517, 2585

The HCF of 2412,2585 is 1.

Lets's calculate GCF of 2412,2585

Greatest Common Factor (GCF) of 2412,2585 By Common Division

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

Greatest Common Factor of 2412,2585 By Matching Biggest Common Factor Method

Greatest Common Factor of 2412,2585 By Matching Biggest Common Factor Method

Now, list down the factors of 2412

:

1,2,3,4,6,9,12,18,36,67,134,201,268,402,603,804,1206,2412

Now, list down the factors of 2585

:

1,5,11,47,55,235,517,2585

Greatest Common Factor

We found the factors 2412,2585 . The biggest common factor number is the GCF number.
So the greatest common factor 2412,2585 is 1.


Lets's calculate LCM of 604,4510

Lowest Common Multiple of 604,4510 using Common Division

2 604, 4510
302, 2255

∴ So the LCM of the given numbers is 2 x 302 x 2255 = 1362020

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1362020

Therefore, the GCF of Fractions 2412/604,2585/4510 is 1/1362020

Least Common Multiple of 604,4510 with GCF Formula

Least Common Multiple of 604,4510 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 604,4510 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(604,4510) = 2

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

GCF(604,4510) x common factors =2 x 1 = 2

LCM(604,4510) = ( 604 × 4510 ) / 2

LCM(604,4510) = 2724040 / 2

LCM(604,4510) = 1362020


GCF of Fractions Calculation Examples

FAQs on GCF of Fractions of 2412/604, 2585/4510

1. What is the HCF of 2412,2585?

The HCF of 2412,2585 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 2412/604, 2585/4510?

Answer: GCF of Numerators as per given numbers 2412/604, 2585/4510 is

GCF of Numerators i.e. for 2412,2585 is 1

LCM of denominators i.e. for 604,4510 is 1362020.

Thus, GCF of Fractions is 1/1362020.Finally, GCF of Fractions for 2412/604, 2585/4510 is 1/1362020.