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GCF of 458/60, 442/821

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 458/60, 442/821 i.e 2/49260 easily. The following is the detailed procedure to determine the greatest common factor of fractions 458/60, 442/821.

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 458/60,442/821?

Given fractions are 458/60,442/821

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 458/60,442/821, numerators are 458,442

Denominators are 60,821

The GCF of 458,442 is 2 .

LCM of 60,821 is 49260.

The greatest common factor of 458/60,442/821 = [GCF of 458,442]/[LCM of 60,821]= 2/49260

Therefore, the GCF of 458/60,442/821 is 2/49260.

Greatest Common Factor of 458,442

To find the highest common factor of 458,442, we have to find the factors of both numbers and list the highest common factor.

The factors of 458 are 1, 2, 229, 458

The factors of 442 are 1, 2, 13, 17, 26, 34, 221, 442

The HCF of 458,442 is 2.

Lets's calculate GCF of 458,442

Greatest Common Factor (GCF) of 458,442 By Common Division

2 458, 442
229, 221

∴ So the GCF of the given numbers is 2 = 2

Greatest Common Factor of 458,442 By Matching Biggest Common Factor Method

Greatest Common Factor of 458,442 By Matching Biggest Common Factor Method

Now, list down the factors of 458

:

1,2,229,458

Now, list down the factors of 442

:

1,2,13,17,26,34,221,442

Greatest Common Factor

We found the factors 458,442 . The biggest common factor number is the GCF number.
So the greatest common factor 458,442 is 2.

Lets's calculate LCM of 60,821

Lowest Common Multiple of 60,821 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 49260

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/49260

Therefore, the GCF of Fractions 458/60,442/821 is 2/49260

Least Common Multiple of 60,821 with GCF Formula

Least Common Multiple of 60,821 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 60,821 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(60,821) = 1

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

GCF(60,821) x common factors =1 x 1 = 1

LCM(60,821) = ( 60 × 821 ) / 1

LCM(60,821) = 49260 / 1

LCM(60,821) = 49260


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FAQs on GCF of Fractions of 458/60, 442/821

1. What is the HCF of 458,442?

The HCF of 458,442 is 2

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 458/60, 442/821?

Answer: GCF of Numerators as per given numbers 458/60, 442/821 is

GCF of Numerators i.e. for 458,442 is 2

LCM of denominators i.e. for 60,821 is 49260.

Thus, GCF of Fractions is 2/49260.Finally, GCF of Fractions for 458/60, 442/821 is 2/49260.