How to Find GCF of 5566/866, 2146/3425?

GCF of 5566/866, 2146/3425

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 5566/866, 2146/3425 i.e 2/2966050 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5566/866, 2146/3425.

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 5566/866,2146/3425?

Given fractions are 5566/866,2146/3425

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 5566/866,2146/3425, numerators are 5566,2146

Denominators are 866,3425

The GCF of 5566,2146 is 2 .

LCM of 866,3425 is 2966050.

The greatest common factor of 5566/866,2146/3425 = [GCF of 5566,2146]/[LCM of 866,3425]= 2/2966050

Therefore, the GCF of 5566/866,2146/3425 is 2/2966050.

Greatest Common Factor of 5566,2146

To find the highest common factor of 5566,2146, we have to find the factors of both numbers and list the highest common factor.

The factors of 5566 are 1, 2, 11, 22, 23, 46, 121, 242, 253, 506, 2783, 5566

The factors of 2146 are 1, 2, 29, 37, 58, 74, 1073, 2146

The HCF of 5566,2146 is 2.

Lets's calculate GCF of 5566,2146

Greatest Common Factor (GCF) of 5566,2146 By Common Division

2	5566, 2146
	2783, 1073

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

Greatest Common Factor of 5566,2146 By Matching Biggest Common Factor Method

Now, list down the factors of 5566

1,2,11,22,23,46,121,242,253,506,2783,5566

Now, list down the factors of 2146

1,2,29,37,58,74,1073,2146

Greatest Common Factor

We found the factors 5566,2146 . The biggest common factor number is the GCF number.
So the greatest common factor 5566,2146 is 2.

Lets's calculate LCM of 866,3425

Lowest Common Multiple of 866,3425 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 2966050

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/2966050

Therefore, the GCF of Fractions 5566/866,2146/3425 is 2/2966050

Least Common Multiple of 866,3425 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 866,3425 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(866,3425) = 1

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

GCF(866,3425) x common factors =1 x 1 = 1

LCM(866,3425) = ( 866 × 3425 ) / 1

LCM(866,3425) = 2966050 / 1

LCM(866,3425) = 2966050

GCF of Fractions Calculation Examples

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FAQs on GCF of Fractions of 5566/866, 2146/3425

1. What is the HCF of 5566,2146?

The HCF of 5566,2146 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 5566/866, 2146/3425?

Answer: GCF of Numerators as per given numbers 5566/866, 2146/3425 is

GCF of Numerators i.e. for 5566,2146 is 2

LCM of denominators i.e. for 866,3425 is 2966050.

Thus, GCF of Fractions is 2/2966050.Finally, GCF of Fractions for 5566/866, 2146/3425 is 2/2966050.