How to Find GCF of 9583/744, 1616/5652?

GCF of 9583/744, 1616/5652

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 9583/744, 1616/5652 i.e 1/350424 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9583/744, 1616/5652.

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 9583/744,1616/5652?

Given fractions are 9583/744,1616/5652

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 9583/744,1616/5652, numerators are 9583,1616

Denominators are 744,5652

The GCF of 9583,1616 is 1 .

LCM of 744,5652 is 350424.

The greatest common factor of 9583/744,1616/5652 = [GCF of 9583,1616]/[LCM of 744,5652]= 1/350424

Therefore, the GCF of 9583/744,1616/5652 is 1/350424.

Greatest Common Factor of 9583,1616

To find the highest common factor of 9583,1616, we have to find the factors of both numbers and list the highest common factor.

The factors of 9583 are 1, 7, 37, 259, 1369, 9583

The factors of 1616 are 1, 2, 4, 8, 16, 101, 202, 404, 808, 1616

The HCF of 9583,1616 is 1.

Lets's calculate GCF of 9583,1616

Greatest Common Factor (GCF) of 9583,1616 By Common Division

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

Greatest Common Factor of 9583,1616 By Matching Biggest Common Factor Method

Now, list down the factors of 9583

1,7,37,259,1369,9583

Now, list down the factors of 1616

1,2,4,8,16,101,202,404,808,1616

Greatest Common Factor

We found the factors 9583,1616 . The biggest common factor number is the GCF number.
So the greatest common factor 9583,1616 is 1.

Lets's calculate LCM of 744,5652

Lowest Common Multiple of 744,5652 using Common Division

2	744, 5652
2	372, 2826
3	186, 1413
	62, 471

∴ So the LCM of the given numbers is 2 x 2 x 3 x 62 x 471 = 350424

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/350424

Therefore, the GCF of Fractions 9583/744,1616/5652 is 1/350424

Least Common Multiple of 744,5652 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 744,5652 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(744,5652) = 12

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

GCF(744,5652) x common factors =12 x 1 = 12

LCM(744,5652) = ( 744 × 5652 ) / 12

LCM(744,5652) = 4205088 / 12

LCM(744,5652) = 350424

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FAQs on GCF of Fractions of 9583/744, 1616/5652

1. What is the HCF of 9583,1616?

The HCF of 9583,1616 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 9583/744, 1616/5652?

Answer: GCF of Numerators as per given numbers 9583/744, 1616/5652 is

GCF of Numerators i.e. for 9583,1616 is 1

LCM of denominators i.e. for 744,5652 is 350424.

Thus, GCF of Fractions is 1/350424.Finally, GCF of Fractions for 9583/744, 1616/5652 is 1/350424.