How to Find GCF of 9589/662, 2641/3602?

GCF of 9589/662, 2641/3602

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 9589/662, 2641/3602 i.e 1/1192262 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9589/662, 2641/3602.

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 9589/662,2641/3602?

Given fractions are 9589/662,2641/3602

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 9589/662,2641/3602, numerators are 9589,2641

Denominators are 662,3602

The GCF of 9589,2641 is 1 .

LCM of 662,3602 is 1192262.

The greatest common factor of 9589/662,2641/3602 = [GCF of 9589,2641]/[LCM of 662,3602]= 1/1192262

Therefore, the GCF of 9589/662,2641/3602 is 1/1192262.

Greatest Common Factor of 9589,2641

To find the highest common factor of 9589,2641, we have to find the factors of both numbers and list the highest common factor.

The factors of 9589 are 1, 43, 223, 9589

The factors of 2641 are 1, 19, 139, 2641

The HCF of 9589,2641 is 1.

Lets's calculate GCF of 9589,2641

Greatest Common Factor (GCF) of 9589,2641 By Common Division

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

Greatest Common Factor of 9589,2641 By Matching Biggest Common Factor Method

Now, list down the factors of 9589

1,43,223,9589

Now, list down the factors of 2641

1,19,139,2641

Greatest Common Factor

We found the factors 9589,2641 . The biggest common factor number is the GCF number.
So the greatest common factor 9589,2641 is 1.

Lets's calculate LCM of 662,3602

Lowest Common Multiple of 662,3602 using Common Division

2	662, 3602
	331, 1801

∴ So the LCM of the given numbers is 2 x 331 x 1801 = 1192262

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1192262

Therefore, the GCF of Fractions 9589/662,2641/3602 is 1/1192262

Least Common Multiple of 662,3602 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 662,3602 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(662,3602) = 2

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

GCF(662,3602) x common factors =2 x 1 = 2

LCM(662,3602) = ( 662 × 3602 ) / 2

LCM(662,3602) = 2384524 / 2

LCM(662,3602) = 1192262

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FAQs on GCF of Fractions of 9589/662, 2641/3602

1. What is the HCF of 9589,2641?

The HCF of 9589,2641 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 9589/662, 2641/3602?

Answer: GCF of Numerators as per given numbers 9589/662, 2641/3602 is

GCF of Numerators i.e. for 9589,2641 is 1

LCM of denominators i.e. for 662,3602 is 1192262.

Thus, GCF of Fractions is 1/1192262.Finally, GCF of Fractions for 9589/662, 2641/3602 is 1/1192262.