Greatest Common Factor of 63/65, 30/13, 65/31, 61/995

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 63/65, 30/13, 65/31, 61/995

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 63/65,30/13,65/31,61/995

Given fractions are 63/65,30/13,65/31,61/995

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 63,30,65,61

Greatest Common Factor of Numerators i.e. GCF of 63,30,65,61 is 1 .

LCM of Denominators means LCM of 65,13,31,995 as per the given fractions.

LCM of 65,13,31,995 is 400985 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 63,30,65,61

GCF of Fractions 63/65,30/13,65/31,61/995 is 1/400985

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

Greatest Common Factor of 63,30,65,61 By Matching Biggest Common Factor Method

Greatest Common Factor of 63,30,65,61 By Matching Biggest Common Factor Method

Factors of 63

List of positive integer factors of 63 that divides 63 without a remainder.

1,3,7,9,21,63

Factors of 30

List of positive integer factors of 30 that divides 30 without a remainder.

1,2,3,5,6,10,15,30

Factors of 65

List of positive integer factors of 65 that divides 65 without a remainder.

1,5,13,65

Factors of 61

List of positive integer factors of 61 that divides 61 without a remainder.

1,61

Greatest Common Factor

We found the factors 63,30,65,61 . The biggest common factor number is the GCF number.
So the greatest common factor 63,30,65,61 is 1.

Lets's calculate LCM of 65,13,31,995

5 65, 13, 31, 995
13 13, 13, 31, 199
1, 1, 31, 199

∴ So the LCM of the given numbers is 5 x 13 x 1 x 1 x 31 x 199 = 400985

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/400985

Therefore, the GCF of Fractions 63/65,30/13,65/31,61/995 is 1/400985

Least Common Multiple of 65,13,31,995 with GCF Formula

Least Common Multiple of 65,13,31,995 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 65,13,31,995 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(65,13,31,995) = 1

common factors(in case of two or more numbers have common factors) = 65

GCF(65,13,31,995) x common factors =1 x 65 = 65

LCM(65,13,31,995) = ( 65 × 13 × 31 × 995 ) / 65

LCM(65,13,31,995) = 26064025 / 65

LCM(65,13,31,995) = 400985


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 63/65, 30/13, 65/31, 61/995

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 63/65, 30/13, 65/31, 61/995?

Answer: GCF of Numerators as per given numbers 63/65, 30/13, 65/31, 61/995 is

GCF of Numerators i.e. for 63,30,65,61 is 1

LCM of denominators i.e. for 65,13,31,995 is 400985.

Thus, GCF of Fractions is 1/400985.Finally, GCF of Fractions for 63/65, 30/13, 65/31, 61/995 is 1/400985.