How to Find GCF of 64/39, 16/78, 671/134?

GCF of 64/39, 16/78, 671/134

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 64/39, 16/78, 671/134 i.e 1/5226 easily. The following is the detailed procedure to determine the greatest common factor of fractions 64/39, 16/78, 671/134.

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 64/39,16/78,671/134?

Given fractions are 64/39,16/78,671/134

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 64/39,16/78,671/134, numerators are 64,16,671

Denominators are 39,78,134

The GCF of 64,16,671 is 1 .

LCM of 39,78,134 is 5226.

The greatest common factor of 64/39,16/78,671/134 = [GCF of 64,16,671]/[LCM of 39,78,134]= 1/5226

Therefore, the GCF of 64/39,16/78,671/134 is 1/5226.

Greatest Common Factor of 64,16,671

To find the highest common factor of 64,16,671, we have to find the factors of both numbers and list the highest common factor.

The factors of 64 are 1, 2, 4, 8, 16, 32, 64

The factors of 16 are 1, 2, 4, 8, 16

The factors of 671 are 1, 11, 61, 671

The HCF of 64,16,671 is 1.

Lets's calculate GCF of 64,16,671

Greatest Common Factor (GCF) of 64,16,671 By Common Division

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

Greatest Common Factor of 64,16,671 By Matching Biggest Common Factor Method

Now, list down the factors of 64

1,2,4,8,16,32,64

Now, list down the factors of 16

1,2,4,8,16

Now, list down the factors of 671

1,11,61,671

Greatest Common Factor

We found the factors 64,16,671 . The biggest common factor number is the GCF number.
So the greatest common factor 64,16,671 is 1.

Lets's calculate LCM of 39,78,134

Lowest Common Multiple of 39,78,134 using Common Division

2	39, 78, 134
3	39, 39, 67
13	13, 13, 67
	1, 1, 67

∴ So the LCM of the given numbers is 2 x 3 x 13 x 1 x 1 x 67 = 5226

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/5226

Therefore, the GCF of Fractions 64/39,16/78,671/134 is 1/5226

Least Common Multiple of 39,78,134 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 39,78,134 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(39,78,134) = 1

common factors(in case of two or more numbers have common factors) = 78

GCF(39,78,134) x common factors =1 x 78 = 78

LCM(39,78,134) = ( 39 × 78 × 134 ) / 78

LCM(39,78,134) = 407628 / 78

LCM(39,78,134) = 5226

GCF of Fractions Calculation Examples

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FAQs on GCF of Fractions of 64/39, 16/78, 671/134

1. What is the HCF of 64,16,671?

The HCF of 64,16,671 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 64/39, 16/78, 671/134?

Answer: GCF of Numerators as per given numbers 64/39, 16/78, 671/134 is

GCF of Numerators i.e. for 64,16,671 is 1

LCM of denominators i.e. for 39,78,134 is 5226.

Thus, GCF of Fractions is 1/5226.Finally, GCF of Fractions for 64/39, 16/78, 671/134 is 1/5226.