Greatest Common Factor of 18/755, 966/980, 155/455

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 18/755, 966/980, 155/455

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 18/755,966/980,155/455

Given fractions are 18/755,966/980,155/455

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 18,966,155

Greatest Common Factor of Numerators i.e. GCF of 18,966,155 is 1 .

LCM of Denominators means LCM of 755,980,455 as per the given fractions.

LCM of 755,980,455 is 1923740 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 18,966,155

GCF of Fractions 18/755,966/980,155/455 is 1/1923740

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

Greatest Common Factor of 18,966,155 By Matching Biggest Common Factor Method

Greatest Common Factor of 18,966,155 By Matching Biggest Common Factor Method

Factors of 18

List of positive integer factors of 18 that divides 18 without a remainder.

1,2,3,6,9,18

Factors of 966

List of positive integer factors of 966 that divides 966 without a remainder.

1,2,3,6,7,14,21,23,42,46,69,138,161,322,483,966

Factors of 155

List of positive integer factors of 155 that divides 155 without a remainder.

1,5,31,155

Greatest Common Factor

We found the factors 18,966,155 . The biggest common factor number is the GCF number.
So the greatest common factor 18,966,155 is 1.

Lets's calculate LCM of 755,980,455

5 755, 980, 455
7 151, 196, 91
151, 28, 13

∴ So the LCM of the given numbers is 5 x 7 x 151 x 28 x 13 = 1923740

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1923740

Therefore, the GCF of Fractions 18/755,966/980,155/455 is 1/1923740

Least Common Multiple of 755,980,455 with GCF Formula

Least Common Multiple of 755,980,455 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 755,980,455 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(755,980,455) = 5

common factors(in case of two or more numbers have common factors) = 35

GCF(755,980,455) x common factors =5 x 35 = 175

LCM(755,980,455) = ( 755 × 980 × 455 ) / 175

LCM(755,980,455) = 336654500 / 175

LCM(755,980,455) = 1923740


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 18/755, 966/980, 155/455

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 18/755, 966/980, 155/455?

Answer: GCF of Numerators as per given numbers 18/755, 966/980, 155/455 is

GCF of Numerators i.e. for 18,966,155 is 1

LCM of denominators i.e. for 755,980,455 is 1923740.

Thus, GCF of Fractions is 1/1923740.Finally, GCF of Fractions for 18/755, 966/980, 155/455 is 1/1923740.