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GCF of 669/639, 421/384

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 669/639, 421/384 i.e 1/81792 easily. The following is the detailed procedure to determine the greatest common factor of fractions 669/639, 421/384.

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 669/639,421/384?

Given fractions are 669/639,421/384

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 669/639,421/384, numerators are 669,421

Denominators are 639,384

The GCF of 669,421 is 1 .

LCM of 639,384 is 81792.

The greatest common factor of 669/639,421/384 = [GCF of 669,421]/[LCM of 639,384]= 1/81792

Therefore, the GCF of 669/639,421/384 is 1/81792.

Greatest Common Factor of 669,421

To find the highest common factor of 669,421, we have to find the factors of both numbers and list the highest common factor.

The factors of 669 are 1, 3, 223, 669

The factors of 421 are 1, 421

The HCF of 669,421 is 1.

Lets's calculate GCF of 669,421

Greatest Common Factor (GCF) of 669,421 By Common Division

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

Greatest Common Factor of 669,421 By Matching Biggest Common Factor Method

Greatest Common Factor of 669,421 By Matching Biggest Common Factor Method

Now, list down the factors of 669

:

1,3,223,669

Now, list down the factors of 421

:

1,421

Greatest Common Factor

We found the factors 669,421 . The biggest common factor number is the GCF number.
So the greatest common factor 669,421 is 1.

Lets's calculate LCM of 639,384

Lowest Common Multiple of 639,384 using Common Division

3 639, 384
213, 128

∴ So the LCM of the given numbers is 3 x 213 x 128 = 81792

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/81792

Therefore, the GCF of Fractions 669/639,421/384 is 1/81792

Least Common Multiple of 639,384 with GCF Formula

Least Common Multiple of 639,384 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 639,384 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(639,384) = 3

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

GCF(639,384) x common factors =3 x 1 = 3

LCM(639,384) = ( 639 × 384 ) / 3

LCM(639,384) = 245376 / 3

LCM(639,384) = 81792


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FAQs on GCF of Fractions of 669/639, 421/384

1. What is the HCF of 669,421?

The HCF of 669,421 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 669/639, 421/384?

Answer: GCF of Numerators as per given numbers 669/639, 421/384 is

GCF of Numerators i.e. for 669,421 is 1

LCM of denominators i.e. for 639,384 is 81792.

Thus, GCF of Fractions is 1/81792.Finally, GCF of Fractions for 669/639, 421/384 is 1/81792.