How to Find GCF of 8566/828, 2173/1068?

GCF of 8566/828, 2173/1068

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 8566/828, 2173/1068 i.e 1/73692 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8566/828, 2173/1068.

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 8566/828,2173/1068?

Given fractions are 8566/828,2173/1068

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 8566/828,2173/1068, numerators are 8566,2173

Denominators are 828,1068

The GCF of 8566,2173 is 1 .

LCM of 828,1068 is 73692.

The greatest common factor of 8566/828,2173/1068 = [GCF of 8566,2173]/[LCM of 828,1068]= 1/73692

Therefore, the GCF of 8566/828,2173/1068 is 1/73692.

Greatest Common Factor of 8566,2173

To find the highest common factor of 8566,2173, we have to find the factors of both numbers and list the highest common factor.

The factors of 8566 are 1, 2, 4283, 8566

The factors of 2173 are 1, 41, 53, 2173

The HCF of 8566,2173 is 1.

Lets's calculate GCF of 8566,2173

Greatest Common Factor (GCF) of 8566,2173 By Common Division

∴ So GCF of numbers is 1 because of no common factors present between them.

Greatest Common Factor of 8566,2173 By Matching Biggest Common Factor Method

Now, list down the factors of 8566

1,2,4283,8566

Now, list down the factors of 2173

1,41,53,2173

Greatest Common Factor

We found the factors 8566,2173 . The biggest common factor number is the GCF number.
So the greatest common factor 8566,2173 is 1.

Lets's calculate LCM of 828,1068

Lowest Common Multiple of 828,1068 using Common Division

2	828, 1068
2	414, 534
3	207, 267
	69, 89

∴ So the LCM of the given numbers is 2 x 2 x 3 x 69 x 89 = 73692

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/73692

Therefore, the GCF of Fractions 8566/828,2173/1068 is 1/73692

Least Common Multiple of 828,1068 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 828,1068 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(828,1068) = 12

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

GCF(828,1068) x common factors =12 x 1 = 12

LCM(828,1068) = ( 828 × 1068 ) / 12

LCM(828,1068) = 884304 / 12

LCM(828,1068) = 73692

GCF of Fractions Calculation Examples

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FAQs on GCF of Fractions of 8566/828, 2173/1068

1. What is the HCF of 8566,2173?

The HCF of 8566,2173 is 1

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 8566/828, 2173/1068?

Answer: GCF of Numerators as per given numbers 8566/828, 2173/1068 is

GCF of Numerators i.e. for 8566,2173 is 1

LCM of denominators i.e. for 828,1068 is 73692.

Thus, GCF of Fractions is 1/73692.Finally, GCF of Fractions for 8566/828, 2173/1068 is 1/73692.