Greatest Common Factor of 965/30, 1855/492

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 965/30, 1855/492

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 965/30,1855/492

Given fractions are 965/30,1855/492

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 965,1855

Greatest Common Factor of Numerators i.e. GCF of 965,1855 is 5 .

LCM of Denominators means LCM of 30,492 as per the given fractions.

LCM of 30,492 is 2460 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 965,1855

GCF of Fractions 965/30,1855/492 is 5/2460

5 965, 1855
193, 371

∴ So the GCF of the given numbers is 5 = 5

Greatest Common Factor of 965,1855 By Matching Biggest Common Factor Method

Greatest Common Factor of 965,1855 By Matching Biggest Common Factor Method

Factors of 965

List of positive integer factors of 965 that divides 965 without a remainder.

1,5,193,965

Factors of 1855

List of positive integer factors of 1855 that divides 1855 without a remainder.

1,5,7,35,53,265,371,1855

Greatest Common Factor

We found the factors 965,1855 . The biggest common factor number is the GCF number.
So the greatest common factor 965,1855 is 5.

Lets's calculate LCM of 30,492

2 30, 492
3 15, 246
5, 82

∴ So the LCM of the given numbers is 2 x 3 x 5 x 82 = 2460

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 5/2460

Therefore, the GCF of Fractions 965/30,1855/492 is 5/2460

Least Common Multiple of 30,492 with GCF Formula

Least Common Multiple of 30,492 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 30,492 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(30,492) = 6

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

GCF(30,492) x common factors =6 x 1 = 6

LCM(30,492) = ( 30 × 492 ) / 6

LCM(30,492) = 14760 / 6

LCM(30,492) = 2460


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 965/30, 1855/492

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 965/30, 1855/492?

Answer: GCF of Numerators as per given numbers 965/30, 1855/492 is

GCF of Numerators i.e. for 965,1855 is 5

LCM of denominators i.e. for 30,492 is 2460.

Thus, GCF of Fractions is 5/2460.Finally, GCF of Fractions for 965/30, 1855/492 is 5/2460.