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GCF of 4217/666, 3981/1776

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 4217/666, 3981/1776 i.e 1/5328 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4217/666, 3981/1776.

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

GCF of:

What is the GCF of 4217/666,3981/1776?

Given fractions are 4217/666,3981/1776

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 4217/666,3981/1776, numerators are 4217,3981

Denominators are 666,1776

The GCF of 4217,3981 is 1 .

LCM of 666,1776 is 5328.

The greatest common factor of 4217/666,3981/1776 = [GCF of 4217,3981]/[LCM of 666,1776]= 1/5328

Therefore, the GCF of 4217/666,3981/1776 is 1/5328.

Greatest Common Factor of 4217,3981

To find the highest common factor of 4217,3981, we have to find the factors of both numbers and list the highest common factor.

The factors of 4217 are 1, 4217

The factors of 3981 are 1, 3, 1327, 3981

The HCF of 4217,3981 is 1.

Lets's calculate GCF of 4217,3981

Greatest Common Factor (GCF) of 4217,3981 By Common Division

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

Greatest Common Factor of 4217,3981 By Matching Biggest Common Factor Method

Greatest Common Factor of 4217,3981 By Matching Biggest Common Factor Method

Now, list down the factors of 4217

:

1,4217

Now, list down the factors of 3981

:

1,3,1327,3981

Greatest Common Factor

We found the factors 4217,3981 . The biggest common factor number is the GCF number.
So the greatest common factor 4217,3981 is 1.

Lets's calculate LCM of 666,1776

Lowest Common Multiple of 666,1776 using Common Division

2 666, 1776
3 333, 888
37 111, 296
3, 8

∴ So the LCM of the given numbers is 2 x 3 x 37 x 3 x 8 = 5328

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/5328

Therefore, the GCF of Fractions 4217/666,3981/1776 is 1/5328

Least Common Multiple of 666,1776 with GCF Formula

Least Common Multiple of 666,1776 with GCF Formula

The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 666,1776 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(666,1776) = 222

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

GCF(666,1776) x common factors =222 x 1 = 222

LCM(666,1776) = ( 666 × 1776 ) / 222

LCM(666,1776) = 1182816 / 222

LCM(666,1776) = 5328


GCF of Fractions Calculation Examples

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FAQs on GCF of Fractions of 4217/666, 3981/1776

1. What is the HCF of 4217,3981?

The HCF of 4217,3981 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 4217/666, 3981/1776?

Answer: GCF of Numerators as per given numbers 4217/666, 3981/1776 is

GCF of Numerators i.e. for 4217,3981 is 1

LCM of denominators i.e. for 666,1776 is 5328.

Thus, GCF of Fractions is 1/5328.Finally, GCF of Fractions for 4217/666, 3981/1776 is 1/5328.