How to Find GCF of 669/765, 845/388, 399/464?

GCF of 669/765, 845/388, 399/464

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 669/765, 845/388, 399/464 i.e 1/34431120 easily. The following is the detailed procedure to determine the greatest common factor of fractions 669/765, 845/388, 399/464.

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 669/765,845/388,399/464?

Given fractions are 669/765,845/388,399/464

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 669/765,845/388,399/464, numerators are 669,845,399

Denominators are 765,388,464

The GCF of 669,845,399 is 1 .

LCM of 765,388,464 is 34431120.

The greatest common factor of 669/765,845/388,399/464 = [GCF of 669,845,399]/[LCM of 765,388,464]= 1/34431120

Therefore, the GCF of 669/765,845/388,399/464 is 1/34431120.

Greatest Common Factor of 669,845,399

To find the highest common factor of 669,845,399, 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 845 are 1, 5, 13, 65, 169, 845

The factors of 399 are 1, 3, 7, 19, 21, 57, 133, 399

The HCF of 669,845,399 is 1.

Lets's calculate GCF of 669,845,399

Greatest Common Factor (GCF) of 669,845,399 By Common Division

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

Greatest Common Factor of 669,845,399 By Matching Biggest Common Factor Method

Now, list down the factors of 669

1,3,223,669

Now, list down the factors of 845

1,5,13,65,169,845

Now, list down the factors of 399

1,3,7,19,21,57,133,399

Greatest Common Factor

We found the factors 669,845,399 . The biggest common factor number is the GCF number.
So the greatest common factor 669,845,399 is 1.

Lets's calculate LCM of 765,388,464

Lowest Common Multiple of 765,388,464 using Common Division

2	765, 388, 464
2	765, 194, 232
	765, 97, 116

∴ So the LCM of the given numbers is 2 x 2 x 765 x 97 x 116 = 34431120

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/34431120

Therefore, the GCF of Fractions 669/765,845/388,399/464 is 1/34431120

Least Common Multiple of 765,388,464 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 765,388,464 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(765,388,464) = 1

common factors(in case of two or more numbers have common factors) = 4

GCF(765,388,464) x common factors =1 x 4 = 4

LCM(765,388,464) = ( 765 × 388 × 464 ) / 4

LCM(765,388,464) = 137724480 / 4

LCM(765,388,464) = 34431120

GCF of Fractions Calculation Examples

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FAQs on GCF of Fractions of 669/765, 845/388, 399/464

1. What is the HCF of 669,845,399?

The HCF of 669,845,399 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 669/765, 845/388, 399/464?

Answer: GCF of Numerators as per given numbers 669/765, 845/388, 399/464 is

GCF of Numerators i.e. for 669,845,399 is 1

LCM of denominators i.e. for 765,388,464 is 34431120.

Thus, GCF of Fractions is 1/34431120.Finally, GCF of Fractions for 669/765, 845/388, 399/464 is 1/34431120.