How to Find GCF of 22/62, 412/35, 129/832?

GCF of 22/62, 412/35, 129/832

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 22/62, 412/35, 129/832 i.e 1/902720 easily. The following is the detailed procedure to determine the greatest common factor of fractions 22/62, 412/35, 129/832.

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 22/62,412/35,129/832?

Given fractions are 22/62,412/35,129/832

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 22/62,412/35,129/832, numerators are 22,412,129

Denominators are 62,35,832

The GCF of 22,412,129 is 1 .

LCM of 62,35,832 is 902720.

The greatest common factor of 22/62,412/35,129/832 = [GCF of 22,412,129]/[LCM of 62,35,832]= 1/902720

Therefore, the GCF of 22/62,412/35,129/832 is 1/902720.

Greatest Common Factor of 22,412,129

To find the highest common factor of 22,412,129, we have to find the factors of both numbers and list the highest common factor.

The factors of 22 are 1, 2, 11, 22

The factors of 412 are 1, 2, 4, 103, 206, 412

The factors of 129 are 1, 3, 43, 129

The HCF of 22,412,129 is 1.

Lets's calculate GCF of 22,412,129

Greatest Common Factor (GCF) of 22,412,129 By Common Division

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

Greatest Common Factor of 22,412,129 By Matching Biggest Common Factor Method

Now, list down the factors of 22

1,2,11,22

Now, list down the factors of 412

1,2,4,103,206,412

Now, list down the factors of 129

1,3,43,129

Greatest Common Factor

We found the factors 22,412,129 . The biggest common factor number is the GCF number.
So the greatest common factor 22,412,129 is 1.

Lets's calculate LCM of 62,35,832

Lowest Common Multiple of 62,35,832 using Common Division

2	62, 35, 832
	31, 35, 416

∴ So the LCM of the given numbers is 2 x 31 x 35 x 416 = 902720

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/902720

Therefore, the GCF of Fractions 22/62,412/35,129/832 is 1/902720

Least Common Multiple of 62,35,832 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 62,35,832 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(62,35,832) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(62,35,832) x common factors =1 x 2 = 2

LCM(62,35,832) = ( 62 × 35 × 832 ) / 2

LCM(62,35,832) = 1805440 / 2

LCM(62,35,832) = 902720

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FAQs on GCF of Fractions of 22/62, 412/35, 129/832

1. What is the HCF of 22,412,129?

The HCF of 22,412,129 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 22/62, 412/35, 129/832?

Answer: GCF of Numerators as per given numbers 22/62, 412/35, 129/832 is

GCF of Numerators i.e. for 22,412,129 is 1

LCM of denominators i.e. for 62,35,832 is 902720.

Thus, GCF of Fractions is 1/902720.Finally, GCF of Fractions for 22/62, 412/35, 129/832 is 1/902720.