How to Find GCF of 143/780, 429/551?

GCF of 143/780, 429/551

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 143/780, 429/551 i.e 143/429780 easily. The following is the detailed procedure to determine the greatest common factor of fractions 143/780, 429/551.

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

What is the GCF of 143/780,429/551?

Given fractions are 143/780,429/551

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 143/780,429/551, numerators are 143,429

Denominators are 780,551

The GCF of 143,429 is 143 .

LCM of 780,551 is 429780.

The greatest common factor of 143/780,429/551 = [GCF of 143,429]/[LCM of 780,551]= 143/429780

Therefore, the GCF of 143/780,429/551 is 143/429780.

Greatest Common Factor of 143,429

To find the highest common factor of 143,429, 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 429 are 1, 3, 11, 13, 33, 39, 143, 429

The HCF of 143,429 is 143.

Lets's calculate GCF of 143,429

Greatest Common Factor (GCF) of 143,429 By Common Division

11	143, 429
13	13, 39
	1, 3

∴ So the GCF of the given numbers is 11 x 13 = 143

Greatest Common Factor of 143,429 By Matching Biggest Common Factor Method

Now, list down the factors of 143

1,11,13,143

Now, list down the factors of 429

1,3,11,13,33,39,143,429

Greatest Common Factor

We found the factors 143,429 . The biggest common factor number is the GCF number.
So the greatest common factor 143,429 is 143.

Lets's calculate LCM of 780,551

Lowest Common Multiple of 780,551 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 429780

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 143/429780

Therefore, the GCF of Fractions 143/780,429/551 is 143/429780

Least Common Multiple of 780,551 with GCF Formula

The formula of LCM is LCM(a₁,a₂,a₃....,a_n) = ( a₁ × a₂ × a₃ × .... × a_n) / GCF(a₁,a₂,a₃....,a_n) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 780,551 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(780,551) = 1

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

GCF(780,551) x common factors =1 x 1 = 1

LCM(780,551) = ( 780 × 551 ) / 1

LCM(780,551) = 429780 / 1

LCM(780,551) = 429780

GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

FAQs on GCF of Fractions of 143/780, 429/551

1. What is the HCF of 143,429?

The HCF of 143,429 is 143

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 143/780, 429/551?

Answer: GCF of Numerators as per given numbers 143/780, 429/551 is

GCF of Numerators i.e. for 143,429 is 143

LCM of denominators i.e. for 780,551 is 429780.

Thus, GCF of Fractions is 143/429780.Finally, GCF of Fractions for 143/780, 429/551 is 143/429780.