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GCF of 443/458, 9667/120

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 443/458, 9667/120 i.e 1/27480 easily. The following is the detailed procedure to determine the greatest common factor of fractions 443/458, 9667/120.

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 443/458,9667/120?

Given fractions are 443/458,9667/120

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 443/458,9667/120, numerators are 443,9667

Denominators are 458,120

The GCF of 443,9667 is 1 .

LCM of 458,120 is 27480.

The greatest common factor of 443/458,9667/120 = [GCF of 443,9667]/[LCM of 458,120]= 1/27480

Therefore, the GCF of 443/458,9667/120 is 1/27480.

Greatest Common Factor of 443,9667

To find the highest common factor of 443,9667, we have to find the factors of both numbers and list the highest common factor.

The factors of 443 are 1, 443

The factors of 9667 are 1, 7, 1381, 9667

The HCF of 443,9667 is 1.

Lets's calculate GCF of 443,9667

Greatest Common Factor (GCF) of 443,9667 By Common Division

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

Greatest Common Factor of 443,9667 By Matching Biggest Common Factor Method

Greatest Common Factor of 443,9667 By Matching Biggest Common Factor Method

Now, list down the factors of 443

:

1,443

Now, list down the factors of 9667

:

1,7,1381,9667

Greatest Common Factor

We found the factors 443,9667 . The biggest common factor number is the GCF number.
So the greatest common factor 443,9667 is 1.

Lets's calculate LCM of 458,120

Lowest Common Multiple of 458,120 using Common Division

2 458, 120
229, 60

∴ So the LCM of the given numbers is 2 x 229 x 60 = 27480

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/27480

Therefore, the GCF of Fractions 443/458,9667/120 is 1/27480

Least Common Multiple of 458,120 with GCF Formula

Least Common Multiple of 458,120 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 458,120 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(458,120) = 2

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

GCF(458,120) x common factors =2 x 1 = 2

LCM(458,120) = ( 458 × 120 ) / 2

LCM(458,120) = 54960 / 2

LCM(458,120) = 27480


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FAQs on GCF of Fractions of 443/458, 9667/120

1. What is the HCF of 443,9667?

The HCF of 443,9667 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 443/458, 9667/120?

Answer: GCF of Numerators as per given numbers 443/458, 9667/120 is

GCF of Numerators i.e. for 443,9667 is 1

LCM of denominators i.e. for 458,120 is 27480.

Thus, GCF of Fractions is 1/27480.Finally, GCF of Fractions for 443/458, 9667/120 is 1/27480.