Greatest Common Factor of 855/45, 414/63, 946/93

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 855/45, 414/63, 946/93

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 855/45,414/63,946/93

Given fractions are 855/45,414/63,946/93

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 855,414,946

Greatest Common Factor of Numerators i.e. GCF of 855,414,946 is 1 .

LCM of Denominators means LCM of 45,63,93 as per the given fractions.

LCM of 45,63,93 is 9765 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 855,414,946

GCF of Fractions 855/45,414/63,946/93 is 1/9765

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

Greatest Common Factor of 855,414,946 By Matching Biggest Common Factor Method

Greatest Common Factor of 855,414,946 By Matching Biggest Common Factor Method

Factors of 855

List of positive integer factors of 855 that divides 855 without a remainder.

1,3,5,9,15,19,45,57,95,171,285,855

Factors of 414

List of positive integer factors of 414 that divides 414 without a remainder.

1,2,3,6,9,18,23,46,69,138,207,414

Factors of 946

List of positive integer factors of 946 that divides 946 without a remainder.

1,2,11,22,43,86,473,946

Greatest Common Factor

We found the factors 855,414,946 . The biggest common factor number is the GCF number.
So the greatest common factor 855,414,946 is 1.

Lets's calculate LCM of 45,63,93

3 45, 63, 93
3 15, 21, 31
5, 7, 31

∴ So the LCM of the given numbers is 3 x 3 x 5 x 7 x 31 = 9765

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/9765

Therefore, the GCF of Fractions 855/45,414/63,946/93 is 1/9765

Least Common Multiple of 45,63,93 with GCF Formula

Least Common Multiple of 45,63,93 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 45,63,93 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(45,63,93) = 3

common factors(in case of two or more numbers have common factors) = 9

GCF(45,63,93) x common factors =3 x 9 = 27

LCM(45,63,93) = ( 45 × 63 × 93 ) / 27

LCM(45,63,93) = 263655 / 27

LCM(45,63,93) = 9765


GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

Frequently Asked Questions on Fractional GCF of 855/45, 414/63, 946/93

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 855/45, 414/63, 946/93?

Answer: GCF of Numerators as per given numbers 855/45, 414/63, 946/93 is

GCF of Numerators i.e. for 855,414,946 is 1

LCM of denominators i.e. for 45,63,93 is 9765.

Thus, GCF of Fractions is 1/9765.Finally, GCF of Fractions for 855/45, 414/63, 946/93 is 1/9765.