How to Find GCF of 60/442, 5364/5842?

GCF of 60/442, 5364/5842

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 60/442, 5364/5842 i.e 12/1291082 easily. The following is the detailed procedure to determine the greatest common factor of fractions 60/442, 5364/5842.

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

What is the GCF of 60/442,5364/5842?

Given fractions are 60/442,5364/5842

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 60/442,5364/5842, numerators are 60,5364

Denominators are 442,5842

The GCF of 60,5364 is 12 .

LCM of 442,5842 is 1291082.

The greatest common factor of 60/442,5364/5842 = [GCF of 60,5364]/[LCM of 442,5842]= 12/1291082

Therefore, the GCF of 60/442,5364/5842 is 12/1291082.

Greatest Common Factor of 60,5364

To find the highest common factor of 60,5364, we have to find the factors of both numbers and list the highest common factor.

The factors of 60 are 1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60

The factors of 5364 are 1, 2, 3, 4, 6, 9, 12, 18, 36, 149, 298, 447, 596, 894, 1341, 1788, 2682, 5364

The HCF of 60,5364 is 12.

Lets's calculate GCF of 60,5364

Greatest Common Factor (GCF) of 60,5364 By Common Division

2	60, 5364
2	30, 2682
3	15, 1341
	5, 447

∴ So the GCF of the given numbers is 2 x 2 x 3 = 12

Greatest Common Factor of 60,5364 By Matching Biggest Common Factor Method

Now, list down the factors of 60

1,2,3,4,5,6,10,12,15,20,30,60

Now, list down the factors of 5364

1,2,3,4,6,9,12,18,36,149,298,447,596,894,1341,1788,2682,5364

Greatest Common Factor

We found the factors 60,5364 . The biggest common factor number is the GCF number.
So the greatest common factor 60,5364 is 12.

Lets's calculate LCM of 442,5842

Lowest Common Multiple of 442,5842 using Common Division

2	442, 5842
	221, 2921

∴ So the LCM of the given numbers is 2 x 221 x 2921 = 1291082

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 12/1291082

Therefore, the GCF of Fractions 60/442,5364/5842 is 12/1291082

Least Common Multiple of 442,5842 with GCF Formula

The formula of LCM is LCM(a₁,a₂,a₃....,a_n) = ( a₁ × a₂ × a₃ × .... × a_n) / GCF(a₁,a₂,a₃....,a_n) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 442,5842 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(442,5842) = 2

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

GCF(442,5842) x common factors =2 x 1 = 2

LCM(442,5842) = ( 442 × 5842 ) / 2

LCM(442,5842) = 2582164 / 2

LCM(442,5842) = 1291082

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FAQs on GCF of Fractions of 60/442, 5364/5842

1. What is the HCF of 60,5364?

The HCF of 60,5364 is 12

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 60/442, 5364/5842?

Answer: GCF of Numerators as per given numbers 60/442, 5364/5842 is

GCF of Numerators i.e. for 60,5364 is 12

LCM of denominators i.e. for 442,5842 is 1291082.

Thus, GCF of Fractions is 12/1291082.Finally, GCF of Fractions for 60/442, 5364/5842 is 12/1291082.