How to Find GCF of 143/91, 420/3419?

GCF of 143/91, 420/3419

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 143/91, 420/3419 i.e 1/23933 easily. The following is the detailed procedure to determine the greatest common factor of fractions 143/91, 420/3419.

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 143/91,420/3419?

Given fractions are 143/91,420/3419

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 143/91,420/3419, numerators are 143,420

Denominators are 91,3419

The GCF of 143,420 is 1 .

LCM of 91,3419 is 23933.

The greatest common factor of 143/91,420/3419 = [GCF of 143,420]/[LCM of 91,3419]= 1/23933

Therefore, the GCF of 143/91,420/3419 is 1/23933.

Greatest Common Factor of 143,420

To find the highest common factor of 143,420, 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 420 are 1, 2, 3, 4, 5, 6, 7, 10, 12, 14, 15, 20, 21, 28, 30, 35, 42, 60, 70, 84, 105, 140, 210, 420

The HCF of 143,420 is 1.

Lets's calculate GCF of 143,420

Greatest Common Factor (GCF) of 143,420 By Common Division

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

Greatest Common Factor of 143,420 By Matching Biggest Common Factor Method

Now, list down the factors of 143

1,11,13,143

Now, list down the factors of 420

1,2,3,4,5,6,7,10,12,14,15,20,21,28,30,35,42,60,70,84,105,140,210,420

Greatest Common Factor

We found the factors 143,420 . The biggest common factor number is the GCF number.
So the greatest common factor 143,420 is 1.

Lets's calculate LCM of 91,3419

Lowest Common Multiple of 91,3419 using Common Division

13	91, 3419
	7, 263

∴ So the LCM of the given numbers is 13 x 7 x 263 = 23933

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/23933

Therefore, the GCF of Fractions 143/91,420/3419 is 1/23933

Least Common Multiple of 91,3419 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 91,3419 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(91,3419) = 13

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

GCF(91,3419) x common factors =13 x 1 = 13

LCM(91,3419) = ( 91 × 3419 ) / 13

LCM(91,3419) = 311129 / 13

LCM(91,3419) = 23933

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FAQs on GCF of Fractions of 143/91, 420/3419

1. What is the HCF of 143,420?

The HCF of 143,420 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 143/91, 420/3419?

Answer: GCF of Numerators as per given numbers 143/91, 420/3419 is

GCF of Numerators i.e. for 143,420 is 1

LCM of denominators i.e. for 91,3419 is 23933.

Thus, GCF of Fractions is 1/23933.Finally, GCF of Fractions for 143/91, 420/3419 is 1/23933.