Greatest Common Factor of 43/61, 65/50, 63/30, 75/825

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 43/61, 65/50, 63/30, 75/825

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 43/61,65/50,63/30,75/825

Given fractions are 43/61,65/50,63/30,75/825

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 43,65,63,75

Greatest Common Factor of Numerators i.e. GCF of 43,65,63,75 is 1 .

LCM of Denominators means LCM of 61,50,30,825 as per the given fractions.

LCM of 61,50,30,825 is 100650 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 43,65,63,75

GCF of Fractions 43/61,65/50,63/30,75/825 is 1/100650

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

Greatest Common Factor of 43,65,63,75 By Matching Biggest Common Factor Method

Greatest Common Factor of 43,65,63,75 By Matching Biggest Common Factor Method

Factors of 43

List of positive integer factors of 43 that divides 43 without a remainder.

1,43

Factors of 65

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

1,5,13,65

Factors of 63

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

1,3,7,9,21,63

Factors of 75

List of positive integer factors of 75 that divides 75 without a remainder.

1,3,5,15,25,75

Greatest Common Factor

We found the factors 43,65,63,75 . The biggest common factor number is the GCF number.
So the greatest common factor 43,65,63,75 is 1.

Lets's calculate LCM of 61,50,30,825

2 61, 50, 30, 825
3 61, 25, 15, 825
5 61, 25, 5, 275
5 61, 1, 5, 55
61, 1, 1, 11

∴ So the LCM of the given numbers is 2 x 3 x 5 x 5 x 61 x 1 x 1 x 11 = 100650

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/100650

Therefore, the GCF of Fractions 43/61,65/50,63/30,75/825 is 1/100650

Least Common Multiple of 61,50,30,825 with GCF Formula

Least Common Multiple of 61,50,30,825 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 61,50,30,825 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(61,50,30,825) = 1

common factors(in case of two or more numbers have common factors) = 750

GCF(61,50,30,825) x common factors =1 x 750 = 750

LCM(61,50,30,825) = ( 61 × 50 × 30 × 825 ) / 750

LCM(61,50,30,825) = 75487500 / 750

LCM(61,50,30,825) = 100650


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 43/61, 65/50, 63/30, 75/825

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 43/61, 65/50, 63/30, 75/825?

Answer: GCF of Numerators as per given numbers 43/61, 65/50, 63/30, 75/825 is

GCF of Numerators i.e. for 43,65,63,75 is 1

LCM of denominators i.e. for 61,50,30,825 is 100650.

Thus, GCF of Fractions is 1/100650.Finally, GCF of Fractions for 43/61, 65/50, 63/30, 75/825 is 1/100650.