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GCF of 143/328, 8637/406

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 143/328, 8637/406 i.e 1/66584 easily. The following is the detailed procedure to determine the greatest common factor of fractions 143/328, 8637/406.

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 143/328,8637/406?

Given fractions are 143/328,8637/406

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 143/328,8637/406, numerators are 143,8637

Denominators are 328,406

The GCF of 143,8637 is 1 .

LCM of 328,406 is 66584.

The greatest common factor of 143/328,8637/406 = [GCF of 143,8637]/[LCM of 328,406]= 1/66584

Therefore, the GCF of 143/328,8637/406 is 1/66584.

Greatest Common Factor of 143,8637

To find the highest common factor of 143,8637, 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 8637 are 1, 3, 2879, 8637

The HCF of 143,8637 is 1.

Lets's calculate GCF of 143,8637

Greatest Common Factor (GCF) of 143,8637 By Common Division

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

Greatest Common Factor of 143,8637 By Matching Biggest Common Factor Method

Greatest Common Factor of 143,8637 By Matching Biggest Common Factor Method

Now, list down the factors of 143

:

1,11,13,143

Now, list down the factors of 8637

:

1,3,2879,8637

Greatest Common Factor

We found the factors 143,8637 . The biggest common factor number is the GCF number.
So the greatest common factor 143,8637 is 1.

Lets's calculate LCM of 328,406

Lowest Common Multiple of 328,406 using Common Division

2 328, 406
164, 203

∴ So the LCM of the given numbers is 2 x 164 x 203 = 66584

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/66584

Therefore, the GCF of Fractions 143/328,8637/406 is 1/66584

Least Common Multiple of 328,406 with GCF Formula

Least Common Multiple of 328,406 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 328,406 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(328,406) = 2

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

GCF(328,406) x common factors =2 x 1 = 2

LCM(328,406) = ( 328 × 406 ) / 2

LCM(328,406) = 133168 / 2

LCM(328,406) = 66584


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FAQs on GCF of Fractions of 143/328, 8637/406

1. What is the HCF of 143,8637?

The HCF of 143,8637 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 143/328, 8637/406?

Answer: GCF of Numerators as per given numbers 143/328, 8637/406 is

GCF of Numerators i.e. for 143,8637 is 1

LCM of denominators i.e. for 328,406 is 66584.

Thus, GCF of Fractions is 1/66584.Finally, GCF of Fractions for 143/328, 8637/406 is 1/66584.