How to Find GCF of 8713/593, 5465/3314?

GCF of 8713/593, 5465/3314

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 8713/593, 5465/3314 i.e 1/1965202 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8713/593, 5465/3314.

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 8713/593,5465/3314?

Given fractions are 8713/593,5465/3314

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 8713/593,5465/3314, numerators are 8713,5465

Denominators are 593,3314

The GCF of 8713,5465 is 1 .

LCM of 593,3314 is 1965202.

The greatest common factor of 8713/593,5465/3314 = [GCF of 8713,5465]/[LCM of 593,3314]= 1/1965202

Therefore, the GCF of 8713/593,5465/3314 is 1/1965202.

Greatest Common Factor of 8713,5465

To find the highest common factor of 8713,5465, we have to find the factors of both numbers and list the highest common factor.

The factors of 8713 are 1, 8713

The factors of 5465 are 1, 5, 1093, 5465

The HCF of 8713,5465 is 1.

Lets's calculate GCF of 8713,5465

Greatest Common Factor (GCF) of 8713,5465 By Common Division

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

Greatest Common Factor of 8713,5465 By Matching Biggest Common Factor Method

Now, list down the factors of 8713

1,8713

Now, list down the factors of 5465

1,5,1093,5465

Greatest Common Factor

We found the factors 8713,5465 . The biggest common factor number is the GCF number.
So the greatest common factor 8713,5465 is 1.

Lets's calculate LCM of 593,3314

Lowest Common Multiple of 593,3314 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 1965202

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1965202

Therefore, the GCF of Fractions 8713/593,5465/3314 is 1/1965202

Least Common Multiple of 593,3314 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 593,3314 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(593,3314) = 1

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

GCF(593,3314) x common factors =1 x 1 = 1

LCM(593,3314) = ( 593 × 3314 ) / 1

LCM(593,3314) = 1965202 / 1

LCM(593,3314) = 1965202

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FAQs on GCF of Fractions of 8713/593, 5465/3314

1. What is the HCF of 8713,5465?

The HCF of 8713,5465 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 8713/593, 5465/3314?

Answer: GCF of Numerators as per given numbers 8713/593, 5465/3314 is

GCF of Numerators i.e. for 8713,5465 is 1

LCM of denominators i.e. for 593,3314 is 1965202.

Thus, GCF of Fractions is 1/1965202.Finally, GCF of Fractions for 8713/593, 5465/3314 is 1/1965202.