How to Find GCF of 2400/231, 7699/8001?

GCF of 2400/231, 7699/8001

Created By : Veerendra
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023

Use our free GCF of Fractions Calculator tool to compute the GCF of 2400/231, 7699/8001 i.e 1/88011 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2400/231, 7699/8001.

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

What is the GCF of 2400/231,7699/8001?

Given fractions are 2400/231,7699/8001

To find the GCF of fractions, we have to find the GCF of numerator numbers and LCM of denominator numbers. Its formula is given by

GCF of Fraction = Greatest Common Factor of Numerator/Least Common Multiple of Denominators

In the fractions 2400/231,7699/8001, numerators are 2400,7699

Denominators are 231,8001

The GCF of 2400,7699 is 1 .

LCM of 231,8001 is 88011.

The greatest common factor of 2400/231,7699/8001 = [GCF of 2400,7699]/[LCM of 231,8001]= 1/88011

Therefore, the GCF of 2400/231,7699/8001 is 1/88011.

Greatest Common Factor of 2400,7699

To find the highest common factor of 2400,7699, we have to find the factors of both numbers and list the highest common factor.

The factors of 2400 are 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 25, 30, 32, 40, 48, 50, 60, 75, 80, 96, 100, 120, 150, 160, 200, 240, 300, 400, 480, 600, 800, 1200, 2400

The factors of 7699 are 1, 7699

The HCF of 2400,7699 is 1.

Lets's calculate GCF of 2400,7699

Greatest Common Factor (GCF) of 2400,7699 By Common Division

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

Greatest Common Factor of 2400,7699 By Matching Biggest Common Factor Method

Now, list down the factors of 2400

1,2,3,4,5,6,8,10,12,15,16,20,24,25,30,32,40,48,50,60,75,80,96,100,120,150,160,200,240,300,400,480,600,800,1200,2400

Now, list down the factors of 7699

1,7699

Greatest Common Factor

We found the factors 2400,7699 . The biggest common factor number is the GCF number.
So the greatest common factor 2400,7699 is 1.

Lets's calculate LCM of 231,8001

Lowest Common Multiple of 231,8001 using Common Division

3	231, 8001
7	77, 2667
	11, 381

∴ So the LCM of the given numbers is 3 x 7 x 11 x 381 = 88011

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/88011

Therefore, the GCF of Fractions 2400/231,7699/8001 is 1/88011

Least Common Multiple of 231,8001 with GCF Formula

The formula of LCM is LCM(a₁,a₂,a₃....,a_n) = ( a₁ × a₂ × a₃ × .... × a_n) / GCF(a₁,a₂,a₃....,a_n) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 231,8001 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(231,8001) = 21

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

GCF(231,8001) x common factors =21 x 1 = 21

LCM(231,8001) = ( 231 × 8001 ) / 21

LCM(231,8001) = 1848231 / 21

LCM(231,8001) = 88011

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FAQs on GCF of Fractions of 2400/231, 7699/8001

1. What is the HCF of 2400,7699?

The HCF of 2400,7699 is 1

2. What is the GCF of a fraction?

The GCF of a fraction is defined as the greatest fraction that divides exactly into 2 or more fractions.

3. 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.

4. What is the GCF of Fractions for 2400/231, 7699/8001?

Answer: GCF of Numerators as per given numbers 2400/231, 7699/8001 is

GCF of Numerators i.e. for 2400,7699 is 1

LCM of denominators i.e. for 231,8001 is 88011.

Thus, GCF of Fractions is 1/88011.Finally, GCF of Fractions for 2400/231, 7699/8001 is 1/88011.