How to Find GCF of 5689/400, 9001/4640?

GCF of 5689/400, 9001/4640

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 5689/400, 9001/4640 i.e 1/23200 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5689/400, 9001/4640.

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 5689/400,9001/4640?

Given fractions are 5689/400,9001/4640

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 5689/400,9001/4640, numerators are 5689,9001

Denominators are 400,4640

The GCF of 5689,9001 is 1 .

LCM of 400,4640 is 23200.

The greatest common factor of 5689/400,9001/4640 = [GCF of 5689,9001]/[LCM of 400,4640]= 1/23200

Therefore, the GCF of 5689/400,9001/4640 is 1/23200.

Greatest Common Factor of 5689,9001

To find the highest common factor of 5689,9001, we have to find the factors of both numbers and list the highest common factor.

The factors of 5689 are 1, 5689

The factors of 9001 are 1, 9001

The HCF of 5689,9001 is 1.

Lets's calculate GCF of 5689,9001

Greatest Common Factor (GCF) of 5689,9001 By Common Division

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

Greatest Common Factor of 5689,9001 By Matching Biggest Common Factor Method

Now, list down the factors of 5689

1,5689

Now, list down the factors of 9001

1,9001

Greatest Common Factor

We found the factors 5689,9001 . The biggest common factor number is the GCF number.
So the greatest common factor 5689,9001 is 1.

Lets's calculate LCM of 400,4640

Lowest Common Multiple of 400,4640 using Common Division

2	400, 4640
2	200, 2320
2	100, 1160
2	50, 580
5	25, 290
	5, 58

∴ So the LCM of the given numbers is 2 x 2 x 2 x 2 x 5 x 5 x 58 = 23200

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/23200

Therefore, the GCF of Fractions 5689/400,9001/4640 is 1/23200

Least Common Multiple of 400,4640 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 400,4640 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(400,4640) = 80

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

GCF(400,4640) x common factors =80 x 1 = 80

LCM(400,4640) = ( 400 × 4640 ) / 80

LCM(400,4640) = 1856000 / 80

LCM(400,4640) = 23200

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FAQs on GCF of Fractions of 5689/400, 9001/4640

1. What is the HCF of 5689,9001?

The HCF of 5689,9001 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 5689/400, 9001/4640?

Answer: GCF of Numerators as per given numbers 5689/400, 9001/4640 is

GCF of Numerators i.e. for 5689,9001 is 1

LCM of denominators i.e. for 400,4640 is 23200.

Thus, GCF of Fractions is 1/23200.Finally, GCF of Fractions for 5689/400, 9001/4640 is 1/23200.