Greatest Common Factor of 19/24, 23/67, 597/800

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 19/24, 23/67, 597/800

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 19/24,23/67,597/800

Given fractions are 19/24,23/67,597/800

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 19,23,597

Greatest Common Factor of Numerators i.e. GCF of 19,23,597 is 1 .

LCM of Denominators means LCM of 24,67,800 as per the given fractions.

LCM of 24,67,800 is 160800 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 19,23,597

GCF of Fractions 19/24,23/67,597/800 is 1/160800

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

Greatest Common Factor of 19,23,597 By Matching Biggest Common Factor Method

Greatest Common Factor of 19,23,597 By Matching Biggest Common Factor Method

Factors of 19

List of positive integer factors of 19 that divides 19 without a remainder.

1,19

Factors of 23

List of positive integer factors of 23 that divides 23 without a remainder.

1,23

Factors of 597

List of positive integer factors of 597 that divides 597 without a remainder.

1,3,199,597

Greatest Common Factor

We found the factors 19,23,597 . The biggest common factor number is the GCF number.
So the greatest common factor 19,23,597 is 1.

Lets's calculate LCM of 24,67,800

2 24, 67, 800
2 12, 67, 400
2 6, 67, 200
3, 67, 100

∴ So the LCM of the given numbers is 2 x 2 x 2 x 3 x 67 x 100 = 160800

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/160800

Therefore, the GCF of Fractions 19/24,23/67,597/800 is 1/160800

Least Common Multiple of 24,67,800 with GCF Formula

Least Common Multiple of 24,67,800 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 24,67,800 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(24,67,800) = 1

common factors(in case of two or more numbers have common factors) = 8

GCF(24,67,800) x common factors =1 x 8 = 8

LCM(24,67,800) = ( 24 × 67 × 800 ) / 8

LCM(24,67,800) = 1286400 / 8

LCM(24,67,800) = 160800


GCF of Fractions Calculation Examples

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GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

Frequently Asked Questions on Fractional GCF of 19/24, 23/67, 597/800

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 19/24, 23/67, 597/800?

Answer: GCF of Numerators as per given numbers 19/24, 23/67, 597/800 is

GCF of Numerators i.e. for 19,23,597 is 1

LCM of denominators i.e. for 24,67,800 is 160800.

Thus, GCF of Fractions is 1/160800.Finally, GCF of Fractions for 19/24, 23/67, 597/800 is 1/160800.