How to Find GCF of 928/64, 116/10, 339/41?

GCF of 928/64, 116/10, 339/41

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 928/64, 116/10, 339/41 i.e 1/13120 easily. The following is the detailed procedure to determine the greatest common factor of fractions 928/64, 116/10, 339/41.

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 928/64,116/10,339/41?

Given fractions are 928/64,116/10,339/41

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 928/64,116/10,339/41, numerators are 928,116,339

Denominators are 64,10,41

The GCF of 928,116,339 is 1 .

LCM of 64,10,41 is 13120.

The greatest common factor of 928/64,116/10,339/41 = [GCF of 928,116,339]/[LCM of 64,10,41]= 1/13120

Therefore, the GCF of 928/64,116/10,339/41 is 1/13120.

Greatest Common Factor of 928,116,339

To find the highest common factor of 928,116,339, we have to find the factors of both numbers and list the highest common factor.

The factors of 928 are 1, 2, 4, 8, 16, 29, 32, 58, 116, 232, 464, 928

The factors of 116 are 1, 2, 4, 29, 58, 116

The factors of 339 are 1, 3, 113, 339

The HCF of 928,116,339 is 1.

Lets's calculate GCF of 928,116,339

Greatest Common Factor (GCF) of 928,116,339 By Common Division

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

Greatest Common Factor of 928,116,339 By Matching Biggest Common Factor Method

Now, list down the factors of 928

1,2,4,8,16,29,32,58,116,232,464,928

Now, list down the factors of 116

1,2,4,29,58,116

Now, list down the factors of 339

1,3,113,339

Greatest Common Factor

We found the factors 928,116,339 . The biggest common factor number is the GCF number.
So the greatest common factor 928,116,339 is 1.

Lets's calculate LCM of 64,10,41

Lowest Common Multiple of 64,10,41 using Common Division

2	64, 10, 41
	32, 5, 41

∴ So the LCM of the given numbers is 2 x 32 x 5 x 41 = 13120

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/13120

Therefore, the GCF of Fractions 928/64,116/10,339/41 is 1/13120

Least Common Multiple of 64,10,41 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 64,10,41 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(64,10,41) = 1

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

GCF(64,10,41) x common factors =1 x 2 = 2

LCM(64,10,41) = ( 64 × 10 × 41 ) / 2

LCM(64,10,41) = 26240 / 2

LCM(64,10,41) = 13120

GCF of Fractions Calculation Examples

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FAQs on GCF of Fractions of 928/64, 116/10, 339/41

1. What is the HCF of 928,116,339?

The HCF of 928,116,339 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 928/64, 116/10, 339/41?

Answer: GCF of Numerators as per given numbers 928/64, 116/10, 339/41 is

GCF of Numerators i.e. for 928,116,339 is 1

LCM of denominators i.e. for 64,10,41 is 13120.

Thus, GCF of Fractions is 1/13120.Finally, GCF of Fractions for 928/64, 116/10, 339/41 is 1/13120.