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GCF of 436/645, 443/321

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 436/645, 443/321 i.e 1/69015 easily. The following is the detailed procedure to determine the greatest common factor of fractions 436/645, 443/321.

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 436/645,443/321?

Given fractions are 436/645,443/321

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 436/645,443/321, numerators are 436,443

Denominators are 645,321

The GCF of 436,443 is 1 .

LCM of 645,321 is 69015.

The greatest common factor of 436/645,443/321 = [GCF of 436,443]/[LCM of 645,321]= 1/69015

Therefore, the GCF of 436/645,443/321 is 1/69015.

Greatest Common Factor of 436,443

To find the highest common factor of 436,443, we have to find the factors of both numbers and list the highest common factor.

The factors of 436 are 1, 2, 4, 109, 218, 436

The factors of 443 are 1, 443

The HCF of 436,443 is 1.

Lets's calculate GCF of 436,443

Greatest Common Factor (GCF) of 436,443 By Common Division

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

Greatest Common Factor of 436,443 By Matching Biggest Common Factor Method

Greatest Common Factor of 436,443 By Matching Biggest Common Factor Method

Now, list down the factors of 436

:

1,2,4,109,218,436

Now, list down the factors of 443

:

1,443

Greatest Common Factor

We found the factors 436,443 . The biggest common factor number is the GCF number.
So the greatest common factor 436,443 is 1.

Lets's calculate LCM of 645,321

Lowest Common Multiple of 645,321 using Common Division

3 645, 321
215, 107

∴ So the LCM of the given numbers is 3 x 215 x 107 = 69015

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/69015

Therefore, the GCF of Fractions 436/645,443/321 is 1/69015

Least Common Multiple of 645,321 with GCF Formula

Least Common Multiple of 645,321 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 645,321 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(645,321) = 3

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

GCF(645,321) x common factors =3 x 1 = 3

LCM(645,321) = ( 645 × 321 ) / 3

LCM(645,321) = 207045 / 3

LCM(645,321) = 69015


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FAQs on GCF of Fractions of 436/645, 443/321

1. What is the HCF of 436,443?

The HCF of 436,443 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 436/645, 443/321?

Answer: GCF of Numerators as per given numbers 436/645, 443/321 is

GCF of Numerators i.e. for 436,443 is 1

LCM of denominators i.e. for 645,321 is 69015.

Thus, GCF of Fractions is 1/69015.Finally, GCF of Fractions for 436/645, 443/321 is 1/69015.