Greatest Common Factor of 36/918, 62/395, 950/485

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 36/918, 62/395, 950/485

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 36/918,62/395,950/485

Given fractions are 36/918,62/395,950/485

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 36,62,950

Greatest Common Factor of Numerators i.e. GCF of 36,62,950 is 2 .

LCM of Denominators means LCM of 918,395,485 as per the given fractions.

LCM of 918,395,485 is 35173170 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 36,62,950

GCF of Fractions 36/918,62/395,950/485 is 2/35173170

2 36, 62, 950
18, 31, 475

∴ So the GCF of the given numbers is 2 = 2

Greatest Common Factor of 36,62,950 By Matching Biggest Common Factor Method

Greatest Common Factor of 36,62,950 By Matching Biggest Common Factor Method

Factors of 36

List of positive integer factors of 36 that divides 36 without a remainder.

1,2,3,4,6,9,12,18,36

Factors of 62

List of positive integer factors of 62 that divides 62 without a remainder.

1,2,31,62

Factors of 950

List of positive integer factors of 950 that divides 950 without a remainder.

1,2,5,10,19,25,38,50,95,190,475,950

Greatest Common Factor

We found the factors 36,62,950 . The biggest common factor number is the GCF number.
So the greatest common factor 36,62,950 is 2.

Lets's calculate LCM of 918,395,485

5 918, 395, 485
918, 79, 97

∴ So the LCM of the given numbers is 5 x 918 x 79 x 97 = 35173170

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/35173170

Therefore, the GCF of Fractions 36/918,62/395,950/485 is 2/35173170

Least Common Multiple of 918,395,485 with GCF Formula

Least Common Multiple of 918,395,485 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 918,395,485 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(918,395,485) = 1

common factors(in case of two or more numbers have common factors) = 5

GCF(918,395,485) x common factors =1 x 5 = 5

LCM(918,395,485) = ( 918 × 395 × 485 ) / 5

LCM(918,395,485) = 175865850 / 5

LCM(918,395,485) = 35173170


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 36/918, 62/395, 950/485

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 36/918, 62/395, 950/485?

Answer: GCF of Numerators as per given numbers 36/918, 62/395, 950/485 is

GCF of Numerators i.e. for 36,62,950 is 2

LCM of denominators i.e. for 918,395,485 is 35173170.

Thus, GCF of Fractions is 2/35173170.Finally, GCF of Fractions for 36/918, 62/395, 950/485 is 2/35173170.