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 143/459, 651/466

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 143/459, 651/466 i.e 1/213894 easily. The following is the detailed procedure to determine the greatest common factor of fractions 143/459, 651/466.

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 143/459,651/466?

Given fractions are 143/459,651/466

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 143/459,651/466, numerators are 143,651

Denominators are 459,466

The GCF of 143,651 is 1 .

LCM of 459,466 is 213894.

The greatest common factor of 143/459,651/466 = [GCF of 143,651]/[LCM of 459,466]= 1/213894

Therefore, the GCF of 143/459,651/466 is 1/213894.

Greatest Common Factor of 143,651

To find the highest common factor of 143,651, 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 651 are 1, 3, 7, 21, 31, 93, 217, 651

The HCF of 143,651 is 1.

Lets's calculate GCF of 143,651

Greatest Common Factor (GCF) of 143,651 By Common Division

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

Greatest Common Factor of 143,651 By Matching Biggest Common Factor Method

Greatest Common Factor of 143,651 By Matching Biggest Common Factor Method

Now, list down the factors of 143

:

1,11,13,143

Now, list down the factors of 651

:

1,3,7,21,31,93,217,651

Greatest Common Factor

We found the factors 143,651 . The biggest common factor number is the GCF number.
So the greatest common factor 143,651 is 1.

Lets's calculate LCM of 459,466

Lowest Common Multiple of 459,466 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 213894

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/213894

Therefore, the GCF of Fractions 143/459,651/466 is 1/213894

Least Common Multiple of 459,466 with GCF Formula

Least Common Multiple of 459,466 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 459,466 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(459,466) = 1

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

GCF(459,466) x common factors =1 x 1 = 1

LCM(459,466) = ( 459 × 466 ) / 1

LCM(459,466) = 213894 / 1

LCM(459,466) = 213894


GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

FAQs on GCF of Fractions of 143/459, 651/466

1. What is the HCF of 143,651?

The HCF of 143,651 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 143/459, 651/466?

Answer: GCF of Numerators as per given numbers 143/459, 651/466 is

GCF of Numerators i.e. for 143,651 is 1

LCM of denominators i.e. for 459,466 is 213894.

Thus, GCF of Fractions is 1/213894.Finally, GCF of Fractions for 143/459, 651/466 is 1/213894.