How to Find GCF of 34/354, 10/530, 626/589?

GCF of 34/354, 10/530, 626/589

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 34/354, 10/530, 626/589 i.e 2/55254090 easily. The following is the detailed procedure to determine the greatest common factor of fractions 34/354, 10/530, 626/589.

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 34/354,10/530,626/589?

Given fractions are 34/354,10/530,626/589

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 34/354,10/530,626/589, numerators are 34,10,626

Denominators are 354,530,589

The GCF of 34,10,626 is 2 .

LCM of 354,530,589 is 55254090.

The greatest common factor of 34/354,10/530,626/589 = [GCF of 34,10,626]/[LCM of 354,530,589]= 2/55254090

Therefore, the GCF of 34/354,10/530,626/589 is 2/55254090.

Greatest Common Factor of 34,10,626

To find the highest common factor of 34,10,626, 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 10 are 1, 2, 5, 10

The factors of 626 are 1, 2, 313, 626

The HCF of 34,10,626 is 2.

Lets's calculate GCF of 34,10,626

Greatest Common Factor (GCF) of 34,10,626 By Common Division

2	34, 10, 626
	17, 5, 313

∴ So the GCF of the given numbers is 2 = 2

Greatest Common Factor of 34,10,626 By Matching Biggest Common Factor Method

Now, list down the factors of 34

1,2,17,34

Now, list down the factors of 10

1,2,5,10

Now, list down the factors of 626

1,2,313,626

Greatest Common Factor

We found the factors 34,10,626 . The biggest common factor number is the GCF number.
So the greatest common factor 34,10,626 is 2.

Lets's calculate LCM of 354,530,589

Lowest Common Multiple of 354,530,589 using Common Division

2	354, 530, 589
	177, 265, 589

∴ So the LCM of the given numbers is 2 x 177 x 265 x 589 = 55254090

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/55254090

Therefore, the GCF of Fractions 34/354,10/530,626/589 is 2/55254090

Least Common Multiple of 354,530,589 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 354,530,589 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(354,530,589) = 1

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

GCF(354,530,589) x common factors =1 x 2 = 2

LCM(354,530,589) = ( 354 × 530 × 589 ) / 2

LCM(354,530,589) = 110508180 / 2

LCM(354,530,589) = 55254090

GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

FAQs on GCF of Fractions of 34/354, 10/530, 626/589

1. What is the HCF of 34,10,626?

The HCF of 34,10,626 is 2

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 34/354, 10/530, 626/589?

Answer: GCF of Numerators as per given numbers 34/354, 10/530, 626/589 is

GCF of Numerators i.e. for 34,10,626 is 2

LCM of denominators i.e. for 354,530,589 is 55254090.

Thus, GCF of Fractions is 2/55254090.Finally, GCF of Fractions for 34/354, 10/530, 626/589 is 2/55254090.