How to Find GCF of 2001/310, 7553/9752?

GCF of 2001/310, 7553/9752

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 2001/310, 7553/9752 i.e 1/1511560 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2001/310, 7553/9752.

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 2001/310,7553/9752?

Given fractions are 2001/310,7553/9752

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 2001/310,7553/9752, numerators are 2001,7553

Denominators are 310,9752

The GCF of 2001,7553 is 1 .

LCM of 310,9752 is 1511560.

The greatest common factor of 2001/310,7553/9752 = [GCF of 2001,7553]/[LCM of 310,9752]= 1/1511560

Therefore, the GCF of 2001/310,7553/9752 is 1/1511560.

Greatest Common Factor of 2001,7553

To find the highest common factor of 2001,7553, we have to find the factors of both numbers and list the highest common factor.

The factors of 2001 are 1, 3, 23, 29, 69, 87, 667, 2001

The factors of 7553 are 1, 7, 13, 83, 91, 581, 1079, 7553

The HCF of 2001,7553 is 1.

Lets's calculate GCF of 2001,7553

Greatest Common Factor (GCF) of 2001,7553 By Common Division

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

Greatest Common Factor of 2001,7553 By Matching Biggest Common Factor Method

Now, list down the factors of 2001

1,3,23,29,69,87,667,2001

Now, list down the factors of 7553

1,7,13,83,91,581,1079,7553

Greatest Common Factor

We found the factors 2001,7553 . The biggest common factor number is the GCF number.
So the greatest common factor 2001,7553 is 1.

Lets's calculate LCM of 310,9752

Lowest Common Multiple of 310,9752 using Common Division

2	310, 9752
	155, 4876

∴ So the LCM of the given numbers is 2 x 155 x 4876 = 1511560

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1511560

Therefore, the GCF of Fractions 2001/310,7553/9752 is 1/1511560

Least Common Multiple of 310,9752 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 310,9752 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(310,9752) = 2

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

GCF(310,9752) x common factors =2 x 1 = 2

LCM(310,9752) = ( 310 × 9752 ) / 2

LCM(310,9752) = 3023120 / 2

LCM(310,9752) = 1511560

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FAQs on GCF of Fractions of 2001/310, 7553/9752

1. What is the HCF of 2001,7553?

The HCF of 2001,7553 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 2001/310, 7553/9752?

Answer: GCF of Numerators as per given numbers 2001/310, 7553/9752 is

GCF of Numerators i.e. for 2001,7553 is 1

LCM of denominators i.e. for 310,9752 is 1511560.

Thus, GCF of Fractions is 1/1511560.Finally, GCF of Fractions for 2001/310, 7553/9752 is 1/1511560.