How to Find GCF of 34/580, 25/355, 399/171?

GCF of 34/580, 25/355, 399/171

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 34/580, 25/355, 399/171 i.e 1/7041780 easily. The following is the detailed procedure to determine the greatest common factor of fractions 34/580, 25/355, 399/171.

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 34/580,25/355,399/171?

Given fractions are 34/580,25/355,399/171

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 34/580,25/355,399/171, numerators are 34,25,399

Denominators are 580,355,171

The GCF of 34,25,399 is 1 .

LCM of 580,355,171 is 7041780.

The greatest common factor of 34/580,25/355,399/171 = [GCF of 34,25,399]/[LCM of 580,355,171]= 1/7041780

Therefore, the GCF of 34/580,25/355,399/171 is 1/7041780.

Greatest Common Factor of 34,25,399

To find the highest common factor of 34,25,399, 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 25 are 1, 5, 25

The factors of 399 are 1, 3, 7, 19, 21, 57, 133, 399

The HCF of 34,25,399 is 1.

Lets's calculate GCF of 34,25,399

Greatest Common Factor (GCF) of 34,25,399 By Common Division

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

Greatest Common Factor of 34,25,399 By Matching Biggest Common Factor Method

Now, list down the factors of 34

1,2,17,34

Now, list down the factors of 25

1,5,25

Now, list down the factors of 399

1,3,7,19,21,57,133,399

Greatest Common Factor

We found the factors 34,25,399 . The biggest common factor number is the GCF number.
So the greatest common factor 34,25,399 is 1.

Lets's calculate LCM of 580,355,171

Lowest Common Multiple of 580,355,171 using Common Division

5	580, 355, 171
	116, 71, 171

∴ So the LCM of the given numbers is 5 x 116 x 71 x 171 = 7041780

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/7041780

Therefore, the GCF of Fractions 34/580,25/355,399/171 is 1/7041780

Least Common Multiple of 580,355,171 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 580,355,171 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(580,355,171) = 1

common factors(in case of two or more numbers have common factors) = 5

GCF(580,355,171) x common factors =1 x 5 = 5

LCM(580,355,171) = ( 580 × 355 × 171 ) / 5

LCM(580,355,171) = 35208900 / 5

LCM(580,355,171) = 7041780

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FAQs on GCF of Fractions of 34/580, 25/355, 399/171

1. What is the HCF of 34,25,399?

The HCF of 34,25,399 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 34/580, 25/355, 399/171?

Answer: GCF of Numerators as per given numbers 34/580, 25/355, 399/171 is

GCF of Numerators i.e. for 34,25,399 is 1

LCM of denominators i.e. for 580,355,171 is 7041780.

Thus, GCF of Fractions is 1/7041780.Finally, GCF of Fractions for 34/580, 25/355, 399/171 is 1/7041780.