How to Find GCF of 3394/359, 2626/2820?

GCF of 3394/359, 2626/2820

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 3394/359, 2626/2820 i.e 2/1012380 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3394/359, 2626/2820.

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 3394/359,2626/2820?

Given fractions are 3394/359,2626/2820

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 3394/359,2626/2820, numerators are 3394,2626

Denominators are 359,2820

The GCF of 3394,2626 is 2 .

LCM of 359,2820 is 1012380.

The greatest common factor of 3394/359,2626/2820 = [GCF of 3394,2626]/[LCM of 359,2820]= 2/1012380

Therefore, the GCF of 3394/359,2626/2820 is 2/1012380.

Greatest Common Factor of 3394,2626

To find the highest common factor of 3394,2626, we have to find the factors of both numbers and list the highest common factor.

The factors of 3394 are 1, 2, 1697, 3394

The factors of 2626 are 1, 2, 13, 26, 101, 202, 1313, 2626

The HCF of 3394,2626 is 2.

Lets's calculate GCF of 3394,2626

Greatest Common Factor (GCF) of 3394,2626 By Common Division

2	3394, 2626
	1697, 1313

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

Greatest Common Factor of 3394,2626 By Matching Biggest Common Factor Method

Now, list down the factors of 3394

1,2,1697,3394

Now, list down the factors of 2626

1,2,13,26,101,202,1313,2626

Greatest Common Factor

We found the factors 3394,2626 . The biggest common factor number is the GCF number.
So the greatest common factor 3394,2626 is 2.

Lets's calculate LCM of 359,2820

Lowest Common Multiple of 359,2820 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 1012380

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/1012380

Therefore, the GCF of Fractions 3394/359,2626/2820 is 2/1012380

Least Common Multiple of 359,2820 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 359,2820 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(359,2820) = 1

common factors(in case of two or more numbers have common factors) = 1

GCF(359,2820) x common factors =1 x 1 = 1

LCM(359,2820) = ( 359 × 2820 ) / 1

LCM(359,2820) = 1012380 / 1

LCM(359,2820) = 1012380

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FAQs on GCF of Fractions of 3394/359, 2626/2820

1. What is the HCF of 3394,2626?

The HCF of 3394,2626 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 3394/359, 2626/2820?

Answer: GCF of Numerators as per given numbers 3394/359, 2626/2820 is

GCF of Numerators i.e. for 3394,2626 is 2

LCM of denominators i.e. for 359,2820 is 1012380.

Thus, GCF of Fractions is 2/1012380.Finally, GCF of Fractions for 3394/359, 2626/2820 is 2/1012380.