How to Find GCF of 5599/307, 5423/2300?

GCF of 5599/307, 5423/2300

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 5599/307, 5423/2300 i.e 11/706100 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5599/307, 5423/2300.

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 5599/307,5423/2300?

Given fractions are 5599/307,5423/2300

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 5599/307,5423/2300, numerators are 5599,5423

Denominators are 307,2300

The GCF of 5599,5423 is 11 .

LCM of 307,2300 is 706100.

The greatest common factor of 5599/307,5423/2300 = [GCF of 5599,5423]/[LCM of 307,2300]= 11/706100

Therefore, the GCF of 5599/307,5423/2300 is 11/706100.

Greatest Common Factor of 5599,5423

To find the highest common factor of 5599,5423, we have to find the factors of both numbers and list the highest common factor.

The factors of 5599 are 1, 11, 509, 5599

The factors of 5423 are 1, 11, 17, 29, 187, 319, 493, 5423

The HCF of 5599,5423 is 11.

Lets's calculate GCF of 5599,5423

Greatest Common Factor (GCF) of 5599,5423 By Common Division

11	5599, 5423
	509, 493

∴ So the GCF of the given numbers is 11 = 11

Greatest Common Factor of 5599,5423 By Matching Biggest Common Factor Method

Now, list down the factors of 5599

1,11,509,5599

Now, list down the factors of 5423

1,11,17,29,187,319,493,5423

Greatest Common Factor

We found the factors 5599,5423 . The biggest common factor number is the GCF number.
So the greatest common factor 5599,5423 is 11.

Lets's calculate LCM of 307,2300

Lowest Common Multiple of 307,2300 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 706100

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 11/706100

Therefore, the GCF of Fractions 5599/307,5423/2300 is 11/706100

Least Common Multiple of 307,2300 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 307,2300 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(307,2300) = 1

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

GCF(307,2300) x common factors =1 x 1 = 1

LCM(307,2300) = ( 307 × 2300 ) / 1

LCM(307,2300) = 706100 / 1

LCM(307,2300) = 706100

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FAQs on GCF of Fractions of 5599/307, 5423/2300

1. What is the HCF of 5599,5423?

The HCF of 5599,5423 is 11

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 5599/307, 5423/2300?

Answer: GCF of Numerators as per given numbers 5599/307, 5423/2300 is

GCF of Numerators i.e. for 5599,5423 is 11

LCM of denominators i.e. for 307,2300 is 706100.

Thus, GCF of Fractions is 11/706100.Finally, GCF of Fractions for 5599/307, 5423/2300 is 11/706100.