How to Find GCF of 1273/947, 2363/5365?

GCF of 1273/947, 2363/5365

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 1273/947, 2363/5365 i.e 1/5080655 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1273/947, 2363/5365.

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 1273/947,2363/5365?

Given fractions are 1273/947,2363/5365

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 1273/947,2363/5365, numerators are 1273,2363

Denominators are 947,5365

The GCF of 1273,2363 is 1 .

LCM of 947,5365 is 5080655.

The greatest common factor of 1273/947,2363/5365 = [GCF of 1273,2363]/[LCM of 947,5365]= 1/5080655

Therefore, the GCF of 1273/947,2363/5365 is 1/5080655.

Greatest Common Factor of 1273,2363

To find the highest common factor of 1273,2363, we have to find the factors of both numbers and list the highest common factor.

The factors of 1273 are 1, 19, 67, 1273

The factors of 2363 are 1, 17, 139, 2363

The HCF of 1273,2363 is 1.

Lets's calculate GCF of 1273,2363

Greatest Common Factor (GCF) of 1273,2363 By Common Division

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

Greatest Common Factor of 1273,2363 By Matching Biggest Common Factor Method

Now, list down the factors of 1273

1,19,67,1273

Now, list down the factors of 2363

1,17,139,2363

Greatest Common Factor

We found the factors 1273,2363 . The biggest common factor number is the GCF number.
So the greatest common factor 1273,2363 is 1.

Lets's calculate LCM of 947,5365

Lowest Common Multiple of 947,5365 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 5080655

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/5080655

Therefore, the GCF of Fractions 1273/947,2363/5365 is 1/5080655

Least Common Multiple of 947,5365 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 947,5365 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(947,5365) = 1

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

GCF(947,5365) x common factors =1 x 1 = 1

LCM(947,5365) = ( 947 × 5365 ) / 1

LCM(947,5365) = 5080655 / 1

LCM(947,5365) = 5080655

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FAQs on GCF of Fractions of 1273/947, 2363/5365

1. What is the HCF of 1273,2363?

The HCF of 1273,2363 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 1273/947, 2363/5365?

Answer: GCF of Numerators as per given numbers 1273/947, 2363/5365 is

GCF of Numerators i.e. for 1273,2363 is 1

LCM of denominators i.e. for 947,5365 is 5080655.

Thus, GCF of Fractions is 1/5080655.Finally, GCF of Fractions for 1273/947, 2363/5365 is 1/5080655.