Greatest Common Factor of 930/819, 495/146

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 930/819, 495/146

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 930/819,495/146

Given fractions are 930/819,495/146

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 930,495

Greatest Common Factor of Numerators i.e. GCF of 930,495 is 15 .

LCM of Denominators means LCM of 819,146 as per the given fractions.

LCM of 819,146 is 119574 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 930,495

GCF of Fractions 930/819,495/146 is 15/119574

3 930, 495
5 310, 165
62, 33

∴ So the GCF of the given numbers is 3 x 5 = 15

Greatest Common Factor of 930,495 By Matching Biggest Common Factor Method

Greatest Common Factor of 930,495 By Matching Biggest Common Factor Method

Factors of 930

List of positive integer factors of 930 that divides 930 without a remainder.

1,2,3,5,6,10,15,30,31,62,93,155,186,310,465,930

Factors of 495

List of positive integer factors of 495 that divides 495 without a remainder.

1,3,5,9,11,15,33,45,55,99,165,495

Greatest Common Factor

We found the factors 930,495 . The biggest common factor number is the GCF number.
So the greatest common factor 930,495 is 15.

Lets's calculate LCM of 819,146

Given numbers has no common factors except 1. So, there LCM is their product i.e 119574

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 15/119574

Therefore, the GCF of Fractions 930/819,495/146 is 15/119574

Least Common Multiple of 819,146 with GCF Formula

Least Common Multiple of 819,146 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 819,146 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(819,146) = 1

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

GCF(819,146) x common factors =1 x 1 = 1

LCM(819,146) = ( 819 × 146 ) / 1

LCM(819,146) = 119574 / 1

LCM(819,146) = 119574


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 930/819, 495/146

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 930/819, 495/146?

Answer: GCF of Numerators as per given numbers 930/819, 495/146 is

GCF of Numerators i.e. for 930,495 is 15

LCM of denominators i.e. for 819,146 is 119574.

Thus, GCF of Fractions is 15/119574.Finally, GCF of Fractions for 930/819, 495/146 is 15/119574.