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 210/312, 467/216

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 210/312, 467/216 i.e 1/2808 easily. The following is the detailed procedure to determine the greatest common factor of fractions 210/312, 467/216.

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 210/312,467/216?

Given fractions are 210/312,467/216

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 210/312,467/216, numerators are 210,467

Denominators are 312,216

The GCF of 210,467 is 1 .

LCM of 312,216 is 2808.

The greatest common factor of 210/312,467/216 = [GCF of 210,467]/[LCM of 312,216]= 1/2808

Therefore, the GCF of 210/312,467/216 is 1/2808.

Greatest Common Factor of 210,467

To find the highest common factor of 210,467, we have to find the factors of both numbers and list the highest common factor.

The factors of 210 are 1, 2, 3, 5, 6, 7, 10, 14, 15, 21, 30, 35, 42, 70, 105, 210

The factors of 467 are 1, 467

The HCF of 210,467 is 1.

Lets's calculate GCF of 210,467

Greatest Common Factor (GCF) of 210,467 By Common Division

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

Greatest Common Factor of 210,467 By Matching Biggest Common Factor Method

Greatest Common Factor of 210,467 By Matching Biggest Common Factor Method

Now, list down the factors of 210

:

1,2,3,5,6,7,10,14,15,21,30,35,42,70,105,210

Now, list down the factors of 467

:

1,467

Greatest Common Factor

We found the factors 210,467 . The biggest common factor number is the GCF number.
So the greatest common factor 210,467 is 1.

Lets's calculate LCM of 312,216

Lowest Common Multiple of 312,216 using Common Division

2 312, 216
2 156, 108
2 78, 54
3 39, 27
13, 9

∴ So the LCM of the given numbers is 2 x 2 x 2 x 3 x 13 x 9 = 2808

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2808

Therefore, the GCF of Fractions 210/312,467/216 is 1/2808

Least Common Multiple of 312,216 with GCF Formula

Least Common Multiple of 312,216 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 312,216 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(312,216) = 24

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

GCF(312,216) x common factors =24 x 1 = 24

LCM(312,216) = ( 312 × 216 ) / 24

LCM(312,216) = 67392 / 24

LCM(312,216) = 2808


GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

FAQs on GCF of Fractions of 210/312, 467/216

1. What is the HCF of 210,467?

The HCF of 210,467 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 210/312, 467/216?

Answer: GCF of Numerators as per given numbers 210/312, 467/216 is

GCF of Numerators i.e. for 210,467 is 1

LCM of denominators i.e. for 312,216 is 2808.

Thus, GCF of Fractions is 1/2808.Finally, GCF of Fractions for 210/312, 467/216 is 1/2808.