How to Find GCF of 1394/947, 8465/5764?

GCF of 1394/947, 8465/5764

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 1394/947, 8465/5764 i.e 1/5458508 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1394/947, 8465/5764.

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 1394/947,8465/5764?

Given fractions are 1394/947,8465/5764

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 1394/947,8465/5764, numerators are 1394,8465

Denominators are 947,5764

The GCF of 1394,8465 is 1 .

LCM of 947,5764 is 5458508.

The greatest common factor of 1394/947,8465/5764 = [GCF of 1394,8465]/[LCM of 947,5764]= 1/5458508

Therefore, the GCF of 1394/947,8465/5764 is 1/5458508.

Greatest Common Factor of 1394,8465

To find the highest common factor of 1394,8465, we have to find the factors of both numbers and list the highest common factor.

The factors of 1394 are 1, 2, 17, 34, 41, 82, 697, 1394

The factors of 8465 are 1, 5, 1693, 8465

The HCF of 1394,8465 is 1.

Lets's calculate GCF of 1394,8465

Greatest Common Factor (GCF) of 1394,8465 By Common Division

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

Greatest Common Factor of 1394,8465 By Matching Biggest Common Factor Method

Now, list down the factors of 1394

1,2,17,34,41,82,697,1394

Now, list down the factors of 8465

1,5,1693,8465

Greatest Common Factor

We found the factors 1394,8465 . The biggest common factor number is the GCF number.
So the greatest common factor 1394,8465 is 1.

Lets's calculate LCM of 947,5764

Lowest Common Multiple of 947,5764 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 5458508

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/5458508

Therefore, the GCF of Fractions 1394/947,8465/5764 is 1/5458508

Least Common Multiple of 947,5764 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 947,5764 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(947,5764) = 1

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

GCF(947,5764) x common factors =1 x 1 = 1

LCM(947,5764) = ( 947 × 5764 ) / 1

LCM(947,5764) = 5458508 / 1

LCM(947,5764) = 5458508

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FAQs on GCF of Fractions of 1394/947, 8465/5764

1. What is the HCF of 1394,8465?

The HCF of 1394,8465 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 1394/947, 8465/5764?

Answer: GCF of Numerators as per given numbers 1394/947, 8465/5764 is

GCF of Numerators i.e. for 1394,8465 is 1

LCM of denominators i.e. for 947,5764 is 5458508.

Thus, GCF of Fractions is 1/5458508.Finally, GCF of Fractions for 1394/947, 8465/5764 is 1/5458508.