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 143/816, 214/492

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 143/816, 214/492 i.e 1/33456 easily. The following is the detailed procedure to determine the greatest common factor of fractions 143/816, 214/492.

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 143/816,214/492?

Given fractions are 143/816,214/492

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 143/816,214/492, numerators are 143,214

Denominators are 816,492

The GCF of 143,214 is 1 .

LCM of 816,492 is 33456.

The greatest common factor of 143/816,214/492 = [GCF of 143,214]/[LCM of 816,492]= 1/33456

Therefore, the GCF of 143/816,214/492 is 1/33456.

Greatest Common Factor of 143,214

To find the highest common factor of 143,214, we have to find the factors of both numbers and list the highest common factor.

The factors of 143 are 1, 11, 13, 143

The factors of 214 are 1, 2, 107, 214

The HCF of 143,214 is 1.

Lets's calculate GCF of 143,214

Greatest Common Factor (GCF) of 143,214 By Common Division

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

Greatest Common Factor of 143,214 By Matching Biggest Common Factor Method

Greatest Common Factor of 143,214 By Matching Biggest Common Factor Method

Now, list down the factors of 143

:

1,11,13,143

Now, list down the factors of 214

:

1,2,107,214

Greatest Common Factor

We found the factors 143,214 . The biggest common factor number is the GCF number.
So the greatest common factor 143,214 is 1.

Lets's calculate LCM of 816,492

Lowest Common Multiple of 816,492 using Common Division

2 816, 492
2 408, 246
3 204, 123
68, 41

∴ So the LCM of the given numbers is 2 x 2 x 3 x 68 x 41 = 33456

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/33456

Therefore, the GCF of Fractions 143/816,214/492 is 1/33456

Least Common Multiple of 816,492 with GCF Formula

Least Common Multiple of 816,492 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 816,492 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(816,492) = 12

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

GCF(816,492) x common factors =12 x 1 = 12

LCM(816,492) = ( 816 × 492 ) / 12

LCM(816,492) = 401472 / 12

LCM(816,492) = 33456


GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

FAQs on GCF of Fractions of 143/816, 214/492

1. What is the HCF of 143,214?

The HCF of 143,214 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 143/816, 214/492?

Answer: GCF of Numerators as per given numbers 143/816, 214/492 is

GCF of Numerators i.e. for 143,214 is 1

LCM of denominators i.e. for 816,492 is 33456.

Thus, GCF of Fractions is 1/33456.Finally, GCF of Fractions for 143/816, 214/492 is 1/33456.