How to Find GCF of 4523/795, 1189/4648?

GCF of 4523/795, 1189/4648

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 4523/795, 1189/4648 i.e 1/3695160 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4523/795, 1189/4648.

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 4523/795,1189/4648?

Given fractions are 4523/795,1189/4648

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 4523/795,1189/4648, numerators are 4523,1189

Denominators are 795,4648

The GCF of 4523,1189 is 1 .

LCM of 795,4648 is 3695160.

The greatest common factor of 4523/795,1189/4648 = [GCF of 4523,1189]/[LCM of 795,4648]= 1/3695160

Therefore, the GCF of 4523/795,1189/4648 is 1/3695160.

Greatest Common Factor of 4523,1189

To find the highest common factor of 4523,1189, we have to find the factors of both numbers and list the highest common factor.

The factors of 4523 are 1, 4523

The factors of 1189 are 1, 29, 41, 1189

The HCF of 4523,1189 is 1.

Lets's calculate GCF of 4523,1189

Greatest Common Factor (GCF) of 4523,1189 By Common Division

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

Greatest Common Factor of 4523,1189 By Matching Biggest Common Factor Method

Now, list down the factors of 4523

1,4523

Now, list down the factors of 1189

1,29,41,1189

Greatest Common Factor

We found the factors 4523,1189 . The biggest common factor number is the GCF number.
So the greatest common factor 4523,1189 is 1.

Lets's calculate LCM of 795,4648

Lowest Common Multiple of 795,4648 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 3695160

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/3695160

Therefore, the GCF of Fractions 4523/795,1189/4648 is 1/3695160

Least Common Multiple of 795,4648 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 795,4648 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(795,4648) = 1

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

GCF(795,4648) x common factors =1 x 1 = 1

LCM(795,4648) = ( 795 × 4648 ) / 1

LCM(795,4648) = 3695160 / 1

LCM(795,4648) = 3695160

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FAQs on GCF of Fractions of 4523/795, 1189/4648

1. What is the HCF of 4523,1189?

The HCF of 4523,1189 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 4523/795, 1189/4648?

Answer: GCF of Numerators as per given numbers 4523/795, 1189/4648 is

GCF of Numerators i.e. for 4523,1189 is 1

LCM of denominators i.e. for 795,4648 is 3695160.

Thus, GCF of Fractions is 1/3695160.Finally, GCF of Fractions for 4523/795, 1189/4648 is 1/3695160.