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GCF of 2011/603, 7613/5526

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 2011/603, 7613/5526 i.e 1/370242 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2011/603, 7613/5526.

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

GCF of:

What is the GCF of 2011/603,7613/5526?

Given fractions are 2011/603,7613/5526

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 2011/603,7613/5526, numerators are 2011,7613

Denominators are 603,5526

The GCF of 2011,7613 is 1 .

LCM of 603,5526 is 370242.

The greatest common factor of 2011/603,7613/5526 = [GCF of 2011,7613]/[LCM of 603,5526]= 1/370242

Therefore, the GCF of 2011/603,7613/5526 is 1/370242.

Greatest Common Factor of 2011,7613

To find the highest common factor of 2011,7613, we have to find the factors of both numbers and list the highest common factor.

The factors of 2011 are 1, 2011

The factors of 7613 are 1, 23, 331, 7613

The HCF of 2011,7613 is 1.

Lets's calculate GCF of 2011,7613

Greatest Common Factor (GCF) of 2011,7613 By Common Division

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

Greatest Common Factor of 2011,7613 By Matching Biggest Common Factor Method

Greatest Common Factor of 2011,7613 By Matching Biggest Common Factor Method

Now, list down the factors of 2011

:

1,2011

Now, list down the factors of 7613

:

1,23,331,7613

Greatest Common Factor

We found the factors 2011,7613 . The biggest common factor number is the GCF number.
So the greatest common factor 2011,7613 is 1.

Lets's calculate LCM of 603,5526

Lowest Common Multiple of 603,5526 using Common Division

3 603, 5526
3 201, 1842
67, 614

∴ So the LCM of the given numbers is 3 x 3 x 67 x 614 = 370242

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/370242

Therefore, the GCF of Fractions 2011/603,7613/5526 is 1/370242

Least Common Multiple of 603,5526 with GCF Formula

Least Common Multiple of 603,5526 with GCF Formula

The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 603,5526 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(603,5526) = 9

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

GCF(603,5526) x common factors =9 x 1 = 9

LCM(603,5526) = ( 603 × 5526 ) / 9

LCM(603,5526) = 3332178 / 9

LCM(603,5526) = 370242


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FAQs on GCF of Fractions of 2011/603, 7613/5526

1. What is the HCF of 2011,7613?

The HCF of 2011,7613 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 2011/603, 7613/5526?

Answer: GCF of Numerators as per given numbers 2011/603, 7613/5526 is

GCF of Numerators i.e. for 2011,7613 is 1

LCM of denominators i.e. for 603,5526 is 370242.

Thus, GCF of Fractions is 1/370242.Finally, GCF of Fractions for 2011/603, 7613/5526 is 1/370242.