How to Find GCF of 801/66, 723/80, 967/132?

GCF of 801/66, 723/80, 967/132

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 801/66, 723/80, 967/132 i.e 1/2640 easily. The following is the detailed procedure to determine the greatest common factor of fractions 801/66, 723/80, 967/132.

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 801/66,723/80,967/132?

Given fractions are 801/66,723/80,967/132

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 801/66,723/80,967/132, numerators are 801,723,967

Denominators are 66,80,132

The GCF of 801,723,967 is 1 .

LCM of 66,80,132 is 2640.

The greatest common factor of 801/66,723/80,967/132 = [GCF of 801,723,967]/[LCM of 66,80,132]= 1/2640

Therefore, the GCF of 801/66,723/80,967/132 is 1/2640.

Greatest Common Factor of 801,723,967

To find the highest common factor of 801,723,967, we have to find the factors of both numbers and list the highest common factor.

The factors of 801 are 1, 3, 9, 89, 267, 801

The factors of 723 are 1, 3, 241, 723

The factors of 967 are 1, 967

The HCF of 801,723,967 is 1.

Lets's calculate GCF of 801,723,967

Greatest Common Factor (GCF) of 801,723,967 By Common Division

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

Greatest Common Factor of 801,723,967 By Matching Biggest Common Factor Method

Now, list down the factors of 801

1,3,9,89,267,801

Now, list down the factors of 723

1,3,241,723

Now, list down the factors of 967

1,967

Greatest Common Factor

We found the factors 801,723,967 . The biggest common factor number is the GCF number.
So the greatest common factor 801,723,967 is 1.

Lets's calculate LCM of 66,80,132

Lowest Common Multiple of 66,80,132 using Common Division

2	66, 80, 132
2	33, 40, 66
3	33, 20, 33
11	11, 20, 11
	1, 20, 1

∴ So the LCM of the given numbers is 2 x 2 x 3 x 11 x 1 x 20 x 1 = 2640

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2640

Therefore, the GCF of Fractions 801/66,723/80,967/132 is 1/2640

Least Common Multiple of 66,80,132 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 66,80,132 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(66,80,132) = 2

common factors(in case of two or more numbers have common factors) = 132

GCF(66,80,132) x common factors =2 x 132 = 264

LCM(66,80,132) = ( 66 × 80 × 132 ) / 264

LCM(66,80,132) = 696960 / 264

LCM(66,80,132) = 2640

GCF of Fractions Calculation Examples

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FAQs on GCF of Fractions of 801/66, 723/80, 967/132

1. What is the HCF of 801,723,967?

The HCF of 801,723,967 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 801/66, 723/80, 967/132?

Answer: GCF of Numerators as per given numbers 801/66, 723/80, 967/132 is

GCF of Numerators i.e. for 801,723,967 is 1

LCM of denominators i.e. for 66,80,132 is 2640.

Thus, GCF of Fractions is 1/2640.Finally, GCF of Fractions for 801/66, 723/80, 967/132 is 1/2640.