How to Find GCF of 27/283, 83/508, 668/902?

GCF of 27/283, 83/508, 668/902

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 27/283, 83/508, 668/902 i.e 1/64837564 easily. The following is the detailed procedure to determine the greatest common factor of fractions 27/283, 83/508, 668/902.

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 27/283,83/508,668/902?

Given fractions are 27/283,83/508,668/902

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 27/283,83/508,668/902, numerators are 27,83,668

Denominators are 283,508,902

The GCF of 27,83,668 is 1 .

LCM of 283,508,902 is 64837564.

The greatest common factor of 27/283,83/508,668/902 = [GCF of 27,83,668]/[LCM of 283,508,902]= 1/64837564

Therefore, the GCF of 27/283,83/508,668/902 is 1/64837564.

Greatest Common Factor of 27,83,668

To find the highest common factor of 27,83,668, we have to find the factors of both numbers and list the highest common factor.

The factors of 27 are 1, 3, 9, 27

The factors of 83 are 1, 83

The factors of 668 are 1, 2, 4, 167, 334, 668

The HCF of 27,83,668 is 1.

Lets's calculate GCF of 27,83,668

Greatest Common Factor (GCF) of 27,83,668 By Common Division

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

Greatest Common Factor of 27,83,668 By Matching Biggest Common Factor Method

Now, list down the factors of 27

1,3,9,27

Now, list down the factors of 83

1,83

Now, list down the factors of 668

1,2,4,167,334,668

Greatest Common Factor

We found the factors 27,83,668 . The biggest common factor number is the GCF number.
So the greatest common factor 27,83,668 is 1.

Lets's calculate LCM of 283,508,902

Lowest Common Multiple of 283,508,902 using Common Division

2	283, 508, 902
	283, 254, 451

∴ So the LCM of the given numbers is 2 x 283 x 254 x 451 = 64837564

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/64837564

Therefore, the GCF of Fractions 27/283,83/508,668/902 is 1/64837564

Least Common Multiple of 283,508,902 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 283,508,902 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(283,508,902) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(283,508,902) x common factors =1 x 2 = 2

LCM(283,508,902) = ( 283 × 508 × 902 ) / 2

LCM(283,508,902) = 129675128 / 2

LCM(283,508,902) = 64837564

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FAQs on GCF of Fractions of 27/283, 83/508, 668/902

1. What is the HCF of 27,83,668?

The HCF of 27,83,668 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 27/283, 83/508, 668/902?

Answer: GCF of Numerators as per given numbers 27/283, 83/508, 668/902 is

GCF of Numerators i.e. for 27,83,668 is 1

LCM of denominators i.e. for 283,508,902 is 64837564.

Thus, GCF of Fractions is 1/64837564.Finally, GCF of Fractions for 27/283, 83/508, 668/902 is 1/64837564.