How to Find GCF of 4687/897, 4865/1403?

GCF of 4687/897, 4865/1403

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 4687/897, 4865/1403 i.e 1/54717 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4687/897, 4865/1403.

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 4687/897,4865/1403?

Given fractions are 4687/897,4865/1403

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 4687/897,4865/1403, numerators are 4687,4865

Denominators are 897,1403

The GCF of 4687,4865 is 1 .

LCM of 897,1403 is 54717.

The greatest common factor of 4687/897,4865/1403 = [GCF of 4687,4865]/[LCM of 897,1403]= 1/54717

Therefore, the GCF of 4687/897,4865/1403 is 1/54717.

Greatest Common Factor of 4687,4865

To find the highest common factor of 4687,4865, we have to find the factors of both numbers and list the highest common factor.

The factors of 4687 are 1, 43, 109, 4687

The factors of 4865 are 1, 5, 7, 35, 139, 695, 973, 4865

The HCF of 4687,4865 is 1.

Lets's calculate GCF of 4687,4865

Greatest Common Factor (GCF) of 4687,4865 By Common Division

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

Greatest Common Factor of 4687,4865 By Matching Biggest Common Factor Method

Now, list down the factors of 4687

1,43,109,4687

Now, list down the factors of 4865

1,5,7,35,139,695,973,4865

Greatest Common Factor

We found the factors 4687,4865 . The biggest common factor number is the GCF number.
So the greatest common factor 4687,4865 is 1.

Lets's calculate LCM of 897,1403

Lowest Common Multiple of 897,1403 using Common Division

23	897, 1403
	39, 61

∴ So the LCM of the given numbers is 23 x 39 x 61 = 54717

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/54717

Therefore, the GCF of Fractions 4687/897,4865/1403 is 1/54717

Least Common Multiple of 897,1403 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 897,1403 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(897,1403) = 23

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

GCF(897,1403) x common factors =23 x 1 = 23

LCM(897,1403) = ( 897 × 1403 ) / 23

LCM(897,1403) = 1258491 / 23

LCM(897,1403) = 54717

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FAQs on GCF of Fractions of 4687/897, 4865/1403

1. What is the HCF of 4687,4865?

The HCF of 4687,4865 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 4687/897, 4865/1403?

Answer: GCF of Numerators as per given numbers 4687/897, 4865/1403 is

GCF of Numerators i.e. for 4687,4865 is 1

LCM of denominators i.e. for 897,1403 is 54717.

Thus, GCF of Fractions is 1/54717.Finally, GCF of Fractions for 4687/897, 4865/1403 is 1/54717.