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 217/582, 1874/510

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 217/582, 1874/510 i.e 1/49470 easily. The following is the detailed procedure to determine the greatest common factor of fractions 217/582, 1874/510.

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 217/582,1874/510?

Given fractions are 217/582,1874/510

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 217/582,1874/510, numerators are 217,1874

Denominators are 582,510

The GCF of 217,1874 is 1 .

LCM of 582,510 is 49470.

The greatest common factor of 217/582,1874/510 = [GCF of 217,1874]/[LCM of 582,510]= 1/49470

Therefore, the GCF of 217/582,1874/510 is 1/49470.

Greatest Common Factor of 217,1874

To find the highest common factor of 217,1874, we have to find the factors of both numbers and list the highest common factor.

The factors of 217 are 1, 7, 31, 217

The factors of 1874 are 1, 2, 937, 1874

The HCF of 217,1874 is 1.

Lets's calculate GCF of 217,1874

Greatest Common Factor (GCF) of 217,1874 By Common Division

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

Greatest Common Factor of 217,1874 By Matching Biggest Common Factor Method

Greatest Common Factor of 217,1874 By Matching Biggest Common Factor Method

Now, list down the factors of 217

:

1,7,31,217

Now, list down the factors of 1874

:

1,2,937,1874

Greatest Common Factor

We found the factors 217,1874 . The biggest common factor number is the GCF number.
So the greatest common factor 217,1874 is 1.

Lets's calculate LCM of 582,510

Lowest Common Multiple of 582,510 using Common Division

2 582, 510
3 291, 255
97, 85

∴ So the LCM of the given numbers is 2 x 3 x 97 x 85 = 49470

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/49470

Therefore, the GCF of Fractions 217/582,1874/510 is 1/49470

Least Common Multiple of 582,510 with GCF Formula

Least Common Multiple of 582,510 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 582,510 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(582,510) = 6

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

GCF(582,510) x common factors =6 x 1 = 6

LCM(582,510) = ( 582 × 510 ) / 6

LCM(582,510) = 296820 / 6

LCM(582,510) = 49470


GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

FAQs on GCF of Fractions of 217/582, 1874/510

1. What is the HCF of 217,1874?

The HCF of 217,1874 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 217/582, 1874/510?

Answer: GCF of Numerators as per given numbers 217/582, 1874/510 is

GCF of Numerators i.e. for 217,1874 is 1

LCM of denominators i.e. for 582,510 is 49470.

Thus, GCF of Fractions is 1/49470.Finally, GCF of Fractions for 217/582, 1874/510 is 1/49470.