How to Find GCF of 1523/911, 3638/1510?

GCF of 1523/911, 3638/1510

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 1523/911, 3638/1510 i.e 1/1375610 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1523/911, 3638/1510.

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 1523/911,3638/1510?

Given fractions are 1523/911,3638/1510

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 1523/911,3638/1510, numerators are 1523,3638

Denominators are 911,1510

The GCF of 1523,3638 is 1 .

LCM of 911,1510 is 1375610.

The greatest common factor of 1523/911,3638/1510 = [GCF of 1523,3638]/[LCM of 911,1510]= 1/1375610

Therefore, the GCF of 1523/911,3638/1510 is 1/1375610.

Greatest Common Factor of 1523,3638

To find the highest common factor of 1523,3638, we have to find the factors of both numbers and list the highest common factor.

The factors of 1523 are 1, 1523

The factors of 3638 are 1, 2, 17, 34, 107, 214, 1819, 3638

The HCF of 1523,3638 is 1.

Lets's calculate GCF of 1523,3638

Greatest Common Factor (GCF) of 1523,3638 By Common Division

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

Greatest Common Factor of 1523,3638 By Matching Biggest Common Factor Method

Now, list down the factors of 1523

1,1523

Now, list down the factors of 3638

1,2,17,34,107,214,1819,3638

Greatest Common Factor

We found the factors 1523,3638 . The biggest common factor number is the GCF number.
So the greatest common factor 1523,3638 is 1.

Lets's calculate LCM of 911,1510

Lowest Common Multiple of 911,1510 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 1375610

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1375610

Therefore, the GCF of Fractions 1523/911,3638/1510 is 1/1375610

Least Common Multiple of 911,1510 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 911,1510 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(911,1510) = 1

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

GCF(911,1510) x common factors =1 x 1 = 1

LCM(911,1510) = ( 911 × 1510 ) / 1

LCM(911,1510) = 1375610 / 1

LCM(911,1510) = 1375610

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FAQs on GCF of Fractions of 1523/911, 3638/1510

1. What is the HCF of 1523,3638?

The HCF of 1523,3638 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 1523/911, 3638/1510?

Answer: GCF of Numerators as per given numbers 1523/911, 3638/1510 is

GCF of Numerators i.e. for 1523,3638 is 1

LCM of denominators i.e. for 911,1510 is 1375610.

Thus, GCF of Fractions is 1/1375610.Finally, GCF of Fractions for 1523/911, 3638/1510 is 1/1375610.