Greatest Common Factor of 24/967, 553/313, 825/445

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 24/967, 553/313, 825/445

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 24/967,553/313,825/445

Given fractions are 24/967,553/313,825/445

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 24,553,825

Greatest Common Factor of Numerators i.e. GCF of 24,553,825 is 1 .

LCM of Denominators means LCM of 967,313,445 as per the given fractions.

LCM of 967,313,445 is 134688595 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 24,553,825

GCF of Fractions 24/967,553/313,825/445 is 1/134688595

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

Greatest Common Factor of 24,553,825 By Matching Biggest Common Factor Method

Greatest Common Factor of 24,553,825 By Matching Biggest Common Factor Method

Factors of 24

List of positive integer factors of 24 that divides 24 without a remainder.

1,2,3,4,6,8,12,24

Factors of 553

List of positive integer factors of 553 that divides 553 without a remainder.

1,7,79,553

Factors of 825

List of positive integer factors of 825 that divides 825 without a remainder.

1,3,5,11,15,25,33,55,75,165,275,825

Greatest Common Factor

We found the factors 24,553,825 . The biggest common factor number is the GCF number.
So the greatest common factor 24,553,825 is 1.

Lets's calculate LCM of 967,313,445

Given numbers has no common factors except 1. So, there LCM is their product i.e 134688595

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/134688595

Therefore, the GCF of Fractions 24/967,553/313,825/445 is 1/134688595

Least Common Multiple of 967,313,445 with GCF Formula

Least Common Multiple of 967,313,445 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 967,313,445 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(967,313,445) = 1

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

GCF(967,313,445) x common factors =1 x 1 = 1

LCM(967,313,445) = ( 967 × 313 × 445 ) / 1

LCM(967,313,445) = 134688595 / 1

LCM(967,313,445) = 134688595


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 24/967, 553/313, 825/445

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 24/967, 553/313, 825/445?

Answer: GCF of Numerators as per given numbers 24/967, 553/313, 825/445 is

GCF of Numerators i.e. for 24,553,825 is 1

LCM of denominators i.e. for 967,313,445 is 134688595.

Thus, GCF of Fractions is 1/134688595.Finally, GCF of Fractions for 24/967, 553/313, 825/445 is 1/134688595.