Greatest Common Factor of 66/71, 466/78, 267/871

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 66/71, 466/78, 267/871

Enter two or more fractions separated by "commas"

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

GCF of:

Greatest Common Factor of 66/71,466/78,267/871

Given fractions are 66/71,466/78,267/871

Formula to find GCF of Fractions is

GCF = GCF of Numerators/LCM of Denominators

As per the formula GCF of Fractions let’s split into two parts and find the GCF of Numerators and LCM of Denominators

In the given fractions GCF of Numerators means GCF of 66,466,267

Greatest Common Factor of Numerators i.e. GCF of 66,466,267 is 1 .

LCM of Denominators means LCM of 71,78,871 as per the given fractions.

LCM of 71,78,871 is 371046 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 66,466,267

GCF of Fractions 66/71,466/78,267/871 is 1/371046

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

Greatest Common Factor of 66,466,267 By Matching Biggest Common Factor Method

Greatest Common Factor of 66,466,267 By Matching Biggest Common Factor Method

Factors of 66

List of positive integer factors of 66 that divides 66 without a remainder.

1,2,3,6,11,22,33,66

Factors of 466

List of positive integer factors of 466 that divides 466 without a remainder.

1,2,233,466

Factors of 267

List of positive integer factors of 267 that divides 267 without a remainder.

1,3,89,267

Greatest Common Factor

We found the factors 66,466,267 . The biggest common factor number is the GCF number.
So the greatest common factor 66,466,267 is 1.

Lets's calculate LCM of 71,78,871

13 71, 78, 871
71, 6, 67

∴ So the LCM of the given numbers is 13 x 71 x 6 x 67 = 371046

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/371046

Therefore, the GCF of Fractions 66/71,466/78,267/871 is 1/371046

Least Common Multiple of 71,78,871 with GCF Formula

Least Common Multiple of 71,78,871 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 71,78,871 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(71,78,871) = 1

common factors(in case of two or more numbers have common factors) = 13

GCF(71,78,871) x common factors =1 x 13 = 13

LCM(71,78,871) = ( 71 × 78 × 871 ) / 13

LCM(71,78,871) = 4823598 / 13

LCM(71,78,871) = 371046


GCF of Fractions Calculation Examples

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GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

Frequently Asked Questions on Fractional GCF of 66/71, 466/78, 267/871

1. 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.

2. What is the GCF of Fractions for 66/71, 466/78, 267/871?

Answer: GCF of Numerators as per given numbers 66/71, 466/78, 267/871 is

GCF of Numerators i.e. for 66,466,267 is 1

LCM of denominators i.e. for 71,78,871 is 371046.

Thus, GCF of Fractions is 1/371046.Finally, GCF of Fractions for 66/71, 466/78, 267/871 is 1/371046.