How to Find GCF of 422/372, 4112/6719?

GCF of 422/372, 4112/6719

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 422/372, 4112/6719 i.e 2/2499468 easily. The following is the detailed procedure to determine the greatest common factor of fractions 422/372, 4112/6719.

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 422/372,4112/6719?

Given fractions are 422/372,4112/6719

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 422/372,4112/6719, numerators are 422,4112

Denominators are 372,6719

The GCF of 422,4112 is 2 .

LCM of 372,6719 is 2499468.

The greatest common factor of 422/372,4112/6719 = [GCF of 422,4112]/[LCM of 372,6719]= 2/2499468

Therefore, the GCF of 422/372,4112/6719 is 2/2499468.

Greatest Common Factor of 422,4112

To find the highest common factor of 422,4112, we have to find the factors of both numbers and list the highest common factor.

The factors of 422 are 1, 2, 211, 422

The factors of 4112 are 1, 2, 4, 8, 16, 257, 514, 1028, 2056, 4112

The HCF of 422,4112 is 2.

Lets's calculate GCF of 422,4112

Greatest Common Factor (GCF) of 422,4112 By Common Division

2	422, 4112
	211, 2056

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

Greatest Common Factor of 422,4112 By Matching Biggest Common Factor Method

Now, list down the factors of 422

1,2,211,422

Now, list down the factors of 4112

1,2,4,8,16,257,514,1028,2056,4112

Greatest Common Factor

We found the factors 422,4112 . The biggest common factor number is the GCF number.
So the greatest common factor 422,4112 is 2.

Lets's calculate LCM of 372,6719

Lowest Common Multiple of 372,6719 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 2499468

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/2499468

Therefore, the GCF of Fractions 422/372,4112/6719 is 2/2499468

Least Common Multiple of 372,6719 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 372,6719 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(372,6719) = 1

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

GCF(372,6719) x common factors =1 x 1 = 1

LCM(372,6719) = ( 372 × 6719 ) / 1

LCM(372,6719) = 2499468 / 1

LCM(372,6719) = 2499468

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FAQs on GCF of Fractions of 422/372, 4112/6719

1. What is the HCF of 422,4112?

The HCF of 422,4112 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 422/372, 4112/6719?

Answer: GCF of Numerators as per given numbers 422/372, 4112/6719 is

GCF of Numerators i.e. for 422,4112 is 2

LCM of denominators i.e. for 372,6719 is 2499468.

Thus, GCF of Fractions is 2/2499468.Finally, GCF of Fractions for 422/372, 4112/6719 is 2/2499468.