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GCF of 452/86, 443/5316

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 452/86, 443/5316 i.e 1/228588 easily. The following is the detailed procedure to determine the greatest common factor of fractions 452/86, 443/5316.

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 452/86,443/5316?

Given fractions are 452/86,443/5316

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 452/86,443/5316, numerators are 452,443

Denominators are 86,5316

The GCF of 452,443 is 1 .

LCM of 86,5316 is 228588.

The greatest common factor of 452/86,443/5316 = [GCF of 452,443]/[LCM of 86,5316]= 1/228588

Therefore, the GCF of 452/86,443/5316 is 1/228588.

Greatest Common Factor of 452,443

To find the highest common factor of 452,443, we have to find the factors of both numbers and list the highest common factor.

The factors of 452 are 1, 2, 4, 113, 226, 452

The factors of 443 are 1, 443

The HCF of 452,443 is 1.

Lets's calculate GCF of 452,443

Greatest Common Factor (GCF) of 452,443 By Common Division

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

Greatest Common Factor of 452,443 By Matching Biggest Common Factor Method

Greatest Common Factor of 452,443 By Matching Biggest Common Factor Method

Now, list down the factors of 452

:

1,2,4,113,226,452

Now, list down the factors of 443

:

1,443

Greatest Common Factor

We found the factors 452,443 . The biggest common factor number is the GCF number.
So the greatest common factor 452,443 is 1.


Lets's calculate LCM of 86,5316

Lowest Common Multiple of 86,5316 using Common Division

2 86, 5316
43, 2658

∴ So the LCM of the given numbers is 2 x 43 x 2658 = 228588

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/228588

Therefore, the GCF of Fractions 452/86,443/5316 is 1/228588

Least Common Multiple of 86,5316 with GCF Formula

Least Common Multiple of 86,5316 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 86,5316 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(86,5316) = 2

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

GCF(86,5316) x common factors =2 x 1 = 2

LCM(86,5316) = ( 86 × 5316 ) / 2

LCM(86,5316) = 457176 / 2

LCM(86,5316) = 228588


GCF of Fractions Calculation Examples

FAQs on GCF of Fractions of 452/86, 443/5316

1. What is the HCF of 452,443?

The HCF of 452,443 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 452/86, 443/5316?

Answer: GCF of Numerators as per given numbers 452/86, 443/5316 is

GCF of Numerators i.e. for 452,443 is 1

LCM of denominators i.e. for 86,5316 is 228588.

Thus, GCF of Fractions is 1/228588.Finally, GCF of Fractions for 452/86, 443/5316 is 1/228588.