How to Find GCF of 1626/611, 5968/806?

GCF of 1626/611, 5968/806

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 1626/611, 5968/806 i.e 2/37882 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1626/611, 5968/806.

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 1626/611,5968/806?

Given fractions are 1626/611,5968/806

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 1626/611,5968/806, numerators are 1626,5968

Denominators are 611,806

The GCF of 1626,5968 is 2 .

LCM of 611,806 is 37882.

The greatest common factor of 1626/611,5968/806 = [GCF of 1626,5968]/[LCM of 611,806]= 2/37882

Therefore, the GCF of 1626/611,5968/806 is 2/37882.

Greatest Common Factor of 1626,5968

To find the highest common factor of 1626,5968, we have to find the factors of both numbers and list the highest common factor.

The factors of 1626 are 1, 2, 3, 6, 271, 542, 813, 1626

The factors of 5968 are 1, 2, 4, 8, 16, 373, 746, 1492, 2984, 5968

The HCF of 1626,5968 is 2.

Lets's calculate GCF of 1626,5968

Greatest Common Factor (GCF) of 1626,5968 By Common Division

2	1626, 5968
	813, 2984

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

Greatest Common Factor of 1626,5968 By Matching Biggest Common Factor Method

Now, list down the factors of 1626

1,2,3,6,271,542,813,1626

Now, list down the factors of 5968

1,2,4,8,16,373,746,1492,2984,5968

Greatest Common Factor

We found the factors 1626,5968 . The biggest common factor number is the GCF number.
So the greatest common factor 1626,5968 is 2.

Lets's calculate LCM of 611,806

Lowest Common Multiple of 611,806 using Common Division

13	611, 806
	47, 62

∴ So the LCM of the given numbers is 13 x 47 x 62 = 37882

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/37882

Therefore, the GCF of Fractions 1626/611,5968/806 is 2/37882

Least Common Multiple of 611,806 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 611,806 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(611,806) = 13

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

GCF(611,806) x common factors =13 x 1 = 13

LCM(611,806) = ( 611 × 806 ) / 13

LCM(611,806) = 492466 / 13

LCM(611,806) = 37882

GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

FAQs on GCF of Fractions of 1626/611, 5968/806

1. What is the HCF of 1626,5968?

The HCF of 1626,5968 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 1626/611, 5968/806?

Answer: GCF of Numerators as per given numbers 1626/611, 5968/806 is

GCF of Numerators i.e. for 1626,5968 is 2

LCM of denominators i.e. for 611,806 is 37882.

Thus, GCF of Fractions is 2/37882.Finally, GCF of Fractions for 1626/611, 5968/806 is 2/37882.