Greatest Common Factor of 901/36, 9832/770

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 901/36, 9832/770

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 901/36,9832/770

Given fractions are 901/36,9832/770

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 901,9832

Greatest Common Factor of Numerators i.e. GCF of 901,9832 is 1 .

LCM of Denominators means LCM of 36,770 as per the given fractions.

LCM of 36,770 is 13860 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 901,9832

GCF of Fractions 901/36,9832/770 is 1/13860

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

Greatest Common Factor of 901,9832 By Matching Biggest Common Factor Method

Greatest Common Factor of 901,9832 By Matching Biggest Common Factor Method

Factors of 901

List of positive integer factors of 901 that divides 901 without a remainder.

1,17,53,901

Factors of 9832

List of positive integer factors of 9832 that divides 9832 without a remainder.

1,2,4,8,1229,2458,4916,9832

Greatest Common Factor

We found the factors 901,9832 . The biggest common factor number is the GCF number.
So the greatest common factor 901,9832 is 1.

Lets's calculate LCM of 36,770

2 36, 770
18, 385

∴ So the LCM of the given numbers is 2 x 18 x 385 = 13860

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/13860

Therefore, the GCF of Fractions 901/36,9832/770 is 1/13860

Least Common Multiple of 36,770 with GCF Formula

Least Common Multiple of 36,770 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 36,770 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(36,770) = 2

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

GCF(36,770) x common factors =2 x 1 = 2

LCM(36,770) = ( 36 × 770 ) / 2

LCM(36,770) = 27720 / 2

LCM(36,770) = 13860


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 901/36, 9832/770

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 901/36, 9832/770?

Answer: GCF of Numerators as per given numbers 901/36, 9832/770 is

GCF of Numerators i.e. for 901,9832 is 1

LCM of denominators i.e. for 36,770 is 13860.

Thus, GCF of Fractions is 1/13860.Finally, GCF of Fractions for 901/36, 9832/770 is 1/13860.