Greatest Common Factor of 55/83, 215/23, 866/765

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


GCF of 55/83, 215/23, 866/765

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 55/83,215/23,866/765

Given fractions are 55/83,215/23,866/765

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 55,215,866

Greatest Common Factor of Numerators i.e. GCF of 55,215,866 is 1 .

LCM of Denominators means LCM of 83,23,765 as per the given fractions.

LCM of 83,23,765 is 1460385 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 55,215,866

GCF of Fractions 55/83,215/23,866/765 is 1/1460385

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

Greatest Common Factor of 55,215,866 By Matching Biggest Common Factor Method

Greatest Common Factor of 55,215,866 By Matching Biggest Common Factor Method

Factors of 55

List of positive integer factors of 55 that divides 55 without a remainder.

1,5,11,55

Factors of 215

List of positive integer factors of 215 that divides 215 without a remainder.

1,5,43,215

Factors of 866

List of positive integer factors of 866 that divides 866 without a remainder.

1,2,433,866

Greatest Common Factor

We found the factors 55,215,866 . The biggest common factor number is the GCF number.
So the greatest common factor 55,215,866 is 1.


Lets's calculate LCM of 83,23,765

Given numbers has no common factors except 1. So, there LCM is their product i.e 1460385

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1460385

Therefore, the GCF of Fractions 55/83,215/23,866/765 is 1/1460385

Least Common Multiple of 83,23,765 with GCF Formula

Least Common Multiple of 83,23,765 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 83,23,765 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(83,23,765) = 1

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

GCF(83,23,765) x common factors =1 x 1 = 1

LCM(83,23,765) = ( 83 × 23 × 765 ) / 1

LCM(83,23,765) = 1460385 / 1

LCM(83,23,765) = 1460385


GCF of Fractions Calculation Examples

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GCF of Fractions Calculation Examples

Frequently Asked Questions on Fractional GCF of 55/83, 215/23, 866/765

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 55/83, 215/23, 866/765?

Answer: GCF of Numerators as per given numbers 55/83, 215/23, 866/765 is

GCF of Numerators i.e. for 55,215,866 is 1

LCM of denominators i.e. for 83,23,765 is 1460385.

Thus, GCF of Fractions is 1/1460385.Finally, GCF of Fractions for 55/83, 215/23, 866/765 is 1/1460385.