How to Find GCF of 1327/389, 2636/7160?

GCF of 1327/389, 2636/7160

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 1327/389, 2636/7160 i.e 1/2785240 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1327/389, 2636/7160.

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 1327/389,2636/7160?

Given fractions are 1327/389,2636/7160

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 1327/389,2636/7160, numerators are 1327,2636

Denominators are 389,7160

The GCF of 1327,2636 is 1 .

LCM of 389,7160 is 2785240.

The greatest common factor of 1327/389,2636/7160 = [GCF of 1327,2636]/[LCM of 389,7160]= 1/2785240

Therefore, the GCF of 1327/389,2636/7160 is 1/2785240.

Greatest Common Factor of 1327,2636

To find the highest common factor of 1327,2636, we have to find the factors of both numbers and list the highest common factor.

The factors of 1327 are 1, 1327

The factors of 2636 are 1, 2, 4, 659, 1318, 2636

The HCF of 1327,2636 is 1.

Lets's calculate GCF of 1327,2636

Greatest Common Factor (GCF) of 1327,2636 By Common Division

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

Greatest Common Factor of 1327,2636 By Matching Biggest Common Factor Method

Now, list down the factors of 1327

1,1327

Now, list down the factors of 2636

1,2,4,659,1318,2636

Greatest Common Factor

We found the factors 1327,2636 . The biggest common factor number is the GCF number.
So the greatest common factor 1327,2636 is 1.

Lets's calculate LCM of 389,7160

Lowest Common Multiple of 389,7160 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 2785240

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2785240

Therefore, the GCF of Fractions 1327/389,2636/7160 is 1/2785240

Least Common Multiple of 389,7160 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 389,7160 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(389,7160) = 1

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

GCF(389,7160) x common factors =1 x 1 = 1

LCM(389,7160) = ( 389 × 7160 ) / 1

LCM(389,7160) = 2785240 / 1

LCM(389,7160) = 2785240

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FAQs on GCF of Fractions of 1327/389, 2636/7160

1. What is the HCF of 1327,2636?

The HCF of 1327,2636 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 1327/389, 2636/7160?

Answer: GCF of Numerators as per given numbers 1327/389, 2636/7160 is

GCF of Numerators i.e. for 1327,2636 is 1

LCM of denominators i.e. for 389,7160 is 2785240.

Thus, GCF of Fractions is 1/2785240.Finally, GCF of Fractions for 1327/389, 2636/7160 is 1/2785240.