How to Find GCF of 13/966, 7737/3455?

GCF of 13/966, 7737/3455

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 13/966, 7737/3455 i.e 1/3337530 easily. The following is the detailed procedure to determine the greatest common factor of fractions 13/966, 7737/3455.

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 13/966,7737/3455?

Given fractions are 13/966,7737/3455

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 13/966,7737/3455, numerators are 13,7737

Denominators are 966,3455

The GCF of 13,7737 is 1 .

LCM of 966,3455 is 3337530.

The greatest common factor of 13/966,7737/3455 = [GCF of 13,7737]/[LCM of 966,3455]= 1/3337530

Therefore, the GCF of 13/966,7737/3455 is 1/3337530.

Greatest Common Factor of 13,7737

To find the highest common factor of 13,7737, we have to find the factors of both numbers and list the highest common factor.

The factors of 13 are 1, 13

The factors of 7737 are 1, 3, 2579, 7737

The HCF of 13,7737 is 1.

Lets's calculate GCF of 13,7737

Greatest Common Factor (GCF) of 13,7737 By Common Division

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

Greatest Common Factor of 13,7737 By Matching Biggest Common Factor Method

Now, list down the factors of 13

1,13

Now, list down the factors of 7737

1,3,2579,7737

Greatest Common Factor

We found the factors 13,7737 . The biggest common factor number is the GCF number.
So the greatest common factor 13,7737 is 1.

Lets's calculate LCM of 966,3455

Lowest Common Multiple of 966,3455 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 3337530

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/3337530

Therefore, the GCF of Fractions 13/966,7737/3455 is 1/3337530

Least Common Multiple of 966,3455 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 966,3455 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(966,3455) = 1

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

GCF(966,3455) x common factors =1 x 1 = 1

LCM(966,3455) = ( 966 × 3455 ) / 1

LCM(966,3455) = 3337530 / 1

LCM(966,3455) = 3337530

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FAQs on GCF of Fractions of 13/966, 7737/3455

1. What is the HCF of 13,7737?

The HCF of 13,7737 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 13/966, 7737/3455?

Answer: GCF of Numerators as per given numbers 13/966, 7737/3455 is

GCF of Numerators i.e. for 13,7737 is 1

LCM of denominators i.e. for 966,3455 is 3337530.

Thus, GCF of Fractions is 1/3337530.Finally, GCF of Fractions for 13/966, 7737/3455 is 1/3337530.