How to Find GCF of 2216/660, 4397/2116?

GCF of 2216/660, 4397/2116

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 2216/660, 4397/2116 i.e 1/349140 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2216/660, 4397/2116.

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 2216/660,4397/2116?

Given fractions are 2216/660,4397/2116

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 2216/660,4397/2116, numerators are 2216,4397

Denominators are 660,2116

The GCF of 2216,4397 is 1 .

LCM of 660,2116 is 349140.

The greatest common factor of 2216/660,4397/2116 = [GCF of 2216,4397]/[LCM of 660,2116]= 1/349140

Therefore, the GCF of 2216/660,4397/2116 is 1/349140.

Greatest Common Factor of 2216,4397

To find the highest common factor of 2216,4397, we have to find the factors of both numbers and list the highest common factor.

The factors of 2216 are 1, 2, 4, 8, 277, 554, 1108, 2216

The factors of 4397 are 1, 4397

The HCF of 2216,4397 is 1.

Lets's calculate GCF of 2216,4397

Greatest Common Factor (GCF) of 2216,4397 By Common Division

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

Greatest Common Factor of 2216,4397 By Matching Biggest Common Factor Method

Now, list down the factors of 2216

1,2,4,8,277,554,1108,2216

Now, list down the factors of 4397

1,4397

Greatest Common Factor

We found the factors 2216,4397 . The biggest common factor number is the GCF number.
So the greatest common factor 2216,4397 is 1.

Lets's calculate LCM of 660,2116

Lowest Common Multiple of 660,2116 using Common Division

2	660, 2116
2	330, 1058
	165, 529

∴ So the LCM of the given numbers is 2 x 2 x 165 x 529 = 349140

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/349140

Therefore, the GCF of Fractions 2216/660,4397/2116 is 1/349140

Least Common Multiple of 660,2116 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 660,2116 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(660,2116) = 4

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

GCF(660,2116) x common factors =4 x 1 = 4

LCM(660,2116) = ( 660 × 2116 ) / 4

LCM(660,2116) = 1396560 / 4

LCM(660,2116) = 349140

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FAQs on GCF of Fractions of 2216/660, 4397/2116

1. What is the HCF of 2216,4397?

The HCF of 2216,4397 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 2216/660, 4397/2116?

Answer: GCF of Numerators as per given numbers 2216/660, 4397/2116 is

GCF of Numerators i.e. for 2216,4397 is 1

LCM of denominators i.e. for 660,2116 is 349140.

Thus, GCF of Fractions is 1/349140.Finally, GCF of Fractions for 2216/660, 4397/2116 is 1/349140.