How to Find GCF of 1521/699, 6712/6652?

GCF of 1521/699, 6712/6652

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 1521/699, 6712/6652 i.e 1/4649748 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1521/699, 6712/6652.

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 1521/699,6712/6652?

Given fractions are 1521/699,6712/6652

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 1521/699,6712/6652, numerators are 1521,6712

Denominators are 699,6652

The GCF of 1521,6712 is 1 .

LCM of 699,6652 is 4649748.

The greatest common factor of 1521/699,6712/6652 = [GCF of 1521,6712]/[LCM of 699,6652]= 1/4649748

Therefore, the GCF of 1521/699,6712/6652 is 1/4649748.

Greatest Common Factor of 1521,6712

To find the highest common factor of 1521,6712, we have to find the factors of both numbers and list the highest common factor.

The factors of 1521 are 1, 3, 9, 13, 39, 117, 169, 507, 1521

The factors of 6712 are 1, 2, 4, 8, 839, 1678, 3356, 6712

The HCF of 1521,6712 is 1.

Lets's calculate GCF of 1521,6712

Greatest Common Factor (GCF) of 1521,6712 By Common Division

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

Greatest Common Factor of 1521,6712 By Matching Biggest Common Factor Method

Now, list down the factors of 1521

1,3,9,13,39,117,169,507,1521

Now, list down the factors of 6712

1,2,4,8,839,1678,3356,6712

Greatest Common Factor

We found the factors 1521,6712 . The biggest common factor number is the GCF number.
So the greatest common factor 1521,6712 is 1.

Lets's calculate LCM of 699,6652

Lowest Common Multiple of 699,6652 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 4649748

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/4649748

Therefore, the GCF of Fractions 1521/699,6712/6652 is 1/4649748

Least Common Multiple of 699,6652 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 699,6652 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(699,6652) = 1

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

GCF(699,6652) x common factors =1 x 1 = 1

LCM(699,6652) = ( 699 × 6652 ) / 1

LCM(699,6652) = 4649748 / 1

LCM(699,6652) = 4649748

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FAQs on GCF of Fractions of 1521/699, 6712/6652

1. What is the HCF of 1521,6712?

The HCF of 1521,6712 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 1521/699, 6712/6652?

Answer: GCF of Numerators as per given numbers 1521/699, 6712/6652 is

GCF of Numerators i.e. for 1521,6712 is 1

LCM of denominators i.e. for 699,6652 is 4649748.

Thus, GCF of Fractions is 1/4649748.Finally, GCF of Fractions for 1521/699, 6712/6652 is 1/4649748.