How to Find GCF of 920/806, 2006/611?

GCF of 920/806, 2006/611

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 920/806, 2006/611 i.e 2/37882 easily. The following is the detailed procedure to determine the greatest common factor of fractions 920/806, 2006/611.

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 920/806,2006/611?

Given fractions are 920/806,2006/611

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 920/806,2006/611, numerators are 920,2006

Denominators are 806,611

The GCF of 920,2006 is 2 .

LCM of 806,611 is 37882.

The greatest common factor of 920/806,2006/611 = [GCF of 920,2006]/[LCM of 806,611]= 2/37882

Therefore, the GCF of 920/806,2006/611 is 2/37882.

Greatest Common Factor of 920,2006

To find the highest common factor of 920,2006, we have to find the factors of both numbers and list the highest common factor.

The factors of 920 are 1, 2, 4, 5, 8, 10, 20, 23, 40, 46, 92, 115, 184, 230, 460, 920

The factors of 2006 are 1, 2, 17, 34, 59, 118, 1003, 2006

The HCF of 920,2006 is 2.

Lets's calculate GCF of 920,2006

Greatest Common Factor (GCF) of 920,2006 By Common Division

2	920, 2006
	460, 1003

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

Greatest Common Factor of 920,2006 By Matching Biggest Common Factor Method

Now, list down the factors of 920

1,2,4,5,8,10,20,23,40,46,92,115,184,230,460,920

Now, list down the factors of 2006

1,2,17,34,59,118,1003,2006

Greatest Common Factor

We found the factors 920,2006 . The biggest common factor number is the GCF number.
So the greatest common factor 920,2006 is 2.

Lets's calculate LCM of 806,611

Lowest Common Multiple of 806,611 using Common Division

13	806, 611
	62, 47

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

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

Therefore, the GCF of Fractions 920/806,2006/611 is 2/37882

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

GCF(806,611) = 13

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

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

LCM(806,611) = ( 806 × 611 ) / 13

LCM(806,611) = 492466 / 13

LCM(806,611) = 37882

GCF of Fractions Calculation Examples

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FAQs on GCF of Fractions of 920/806, 2006/611

1. What is the HCF of 920,2006?

The HCF of 920,2006 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 920/806, 2006/611?

Answer: GCF of Numerators as per given numbers 920/806, 2006/611 is

GCF of Numerators i.e. for 920,2006 is 2

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

Thus, GCF of Fractions is 2/37882.Finally, GCF of Fractions for 920/806, 2006/611 is 2/37882.