How to Find GCF of 34/32, 57/39, 636/34?

GCF of 34/32, 57/39, 636/34

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 34/32, 57/39, 636/34 i.e 1/21216 easily. The following is the detailed procedure to determine the greatest common factor of fractions 34/32, 57/39, 636/34.

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 34/32,57/39,636/34?

Given fractions are 34/32,57/39,636/34

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 34/32,57/39,636/34, numerators are 34,57,636

Denominators are 32,39,34

The GCF of 34,57,636 is 1 .

LCM of 32,39,34 is 21216.

The greatest common factor of 34/32,57/39,636/34 = [GCF of 34,57,636]/[LCM of 32,39,34]= 1/21216

Therefore, the GCF of 34/32,57/39,636/34 is 1/21216.

Greatest Common Factor of 34,57,636

To find the highest common factor of 34,57,636, we have to find the factors of both numbers and list the highest common factor.

The factors of 34 are 1, 2, 17, 34

The factors of 57 are 1, 3, 19, 57

The factors of 636 are 1, 2, 3, 4, 6, 12, 53, 106, 159, 212, 318, 636

The HCF of 34,57,636 is 1.

Lets's calculate GCF of 34,57,636

Greatest Common Factor (GCF) of 34,57,636 By Common Division

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

Greatest Common Factor of 34,57,636 By Matching Biggest Common Factor Method

Now, list down the factors of 34

1,2,17,34

Now, list down the factors of 57

1,3,19,57

Now, list down the factors of 636

1,2,3,4,6,12,53,106,159,212,318,636

Greatest Common Factor

We found the factors 34,57,636 . The biggest common factor number is the GCF number.
So the greatest common factor 34,57,636 is 1.

Lets's calculate LCM of 32,39,34

Lowest Common Multiple of 32,39,34 using Common Division

2	32, 39, 34
	16, 39, 17

∴ So the LCM of the given numbers is 2 x 16 x 39 x 17 = 21216

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/21216

Therefore, the GCF of Fractions 34/32,57/39,636/34 is 1/21216

Least Common Multiple of 32,39,34 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 32,39,34 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(32,39,34) = 1

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

GCF(32,39,34) x common factors =1 x 2 = 2

LCM(32,39,34) = ( 32 × 39 × 34 ) / 2

LCM(32,39,34) = 42432 / 2

LCM(32,39,34) = 21216

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FAQs on GCF of Fractions of 34/32, 57/39, 636/34

1. What is the HCF of 34,57,636?

The HCF of 34,57,636 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 34/32, 57/39, 636/34?

Answer: GCF of Numerators as per given numbers 34/32, 57/39, 636/34 is

GCF of Numerators i.e. for 34,57,636 is 1

LCM of denominators i.e. for 32,39,34 is 21216.

Thus, GCF of Fractions is 1/21216.Finally, GCF of Fractions for 34/32, 57/39, 636/34 is 1/21216.