How to Find GCF of 139/12, 442/6064?

GCF of 139/12, 442/6064

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 139/12, 442/6064 i.e 1/18192 easily. The following is the detailed procedure to determine the greatest common factor of fractions 139/12, 442/6064.

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 139/12,442/6064?

Given fractions are 139/12,442/6064

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 139/12,442/6064, numerators are 139,442

Denominators are 12,6064

The GCF of 139,442 is 1 .

LCM of 12,6064 is 18192.

The greatest common factor of 139/12,442/6064 = [GCF of 139,442]/[LCM of 12,6064]= 1/18192

Therefore, the GCF of 139/12,442/6064 is 1/18192.

Greatest Common Factor of 139,442

To find the highest common factor of 139,442, we have to find the factors of both numbers and list the highest common factor.

The factors of 139 are 1, 139

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

The HCF of 139,442 is 1.

Lets's calculate GCF of 139,442

Greatest Common Factor (GCF) of 139,442 By Common Division

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

Greatest Common Factor of 139,442 By Matching Biggest Common Factor Method

Now, list down the factors of 139

1,139

Now, list down the factors of 442

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

Greatest Common Factor

We found the factors 139,442 . The biggest common factor number is the GCF number.
So the greatest common factor 139,442 is 1.

Lets's calculate LCM of 12,6064

Lowest Common Multiple of 12,6064 using Common Division

2	12, 6064
2	6, 3032
	3, 1516

∴ So the LCM of the given numbers is 2 x 2 x 3 x 1516 = 18192

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/18192

Therefore, the GCF of Fractions 139/12,442/6064 is 1/18192

Least Common Multiple of 12,6064 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 12,6064 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(12,6064) = 4

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

GCF(12,6064) x common factors =4 x 1 = 4

LCM(12,6064) = ( 12 × 6064 ) / 4

LCM(12,6064) = 72768 / 4

LCM(12,6064) = 18192

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FAQs on GCF of Fractions of 139/12, 442/6064

1. What is the HCF of 139,442?

The HCF of 139,442 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 139/12, 442/6064?

Answer: GCF of Numerators as per given numbers 139/12, 442/6064 is

GCF of Numerators i.e. for 139,442 is 1

LCM of denominators i.e. for 12,6064 is 18192.

Thus, GCF of Fractions is 1/18192.Finally, GCF of Fractions for 139/12, 442/6064 is 1/18192.