How to Find GCF of 1603/461, 2734/9520?

GCF of 1603/461, 2734/9520

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 1603/461, 2734/9520 i.e 1/4388720 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1603/461, 2734/9520.

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 1603/461,2734/9520?

Given fractions are 1603/461,2734/9520

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 1603/461,2734/9520, numerators are 1603,2734

Denominators are 461,9520

The GCF of 1603,2734 is 1 .

LCM of 461,9520 is 4388720.

The greatest common factor of 1603/461,2734/9520 = [GCF of 1603,2734]/[LCM of 461,9520]= 1/4388720

Therefore, the GCF of 1603/461,2734/9520 is 1/4388720.

Greatest Common Factor of 1603,2734

To find the highest common factor of 1603,2734, we have to find the factors of both numbers and list the highest common factor.

The factors of 1603 are 1, 7, 229, 1603

The factors of 2734 are 1, 2, 1367, 2734

The HCF of 1603,2734 is 1.

Lets's calculate GCF of 1603,2734

Greatest Common Factor (GCF) of 1603,2734 By Common Division

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

Greatest Common Factor of 1603,2734 By Matching Biggest Common Factor Method

Now, list down the factors of 1603

1,7,229,1603

Now, list down the factors of 2734

1,2,1367,2734

Greatest Common Factor

We found the factors 1603,2734 . The biggest common factor number is the GCF number.
So the greatest common factor 1603,2734 is 1.

Lets's calculate LCM of 461,9520

Lowest Common Multiple of 461,9520 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 4388720

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/4388720

Therefore, the GCF of Fractions 1603/461,2734/9520 is 1/4388720

Least Common Multiple of 461,9520 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 461,9520 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(461,9520) = 1

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

GCF(461,9520) x common factors =1 x 1 = 1

LCM(461,9520) = ( 461 × 9520 ) / 1

LCM(461,9520) = 4388720 / 1

LCM(461,9520) = 4388720

GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

FAQs on GCF of Fractions of 1603/461, 2734/9520

1. What is the HCF of 1603,2734?

The HCF of 1603,2734 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 1603/461, 2734/9520?

Answer: GCF of Numerators as per given numbers 1603/461, 2734/9520 is

GCF of Numerators i.e. for 1603,2734 is 1

LCM of denominators i.e. for 461,9520 is 4388720.

Thus, GCF of Fractions is 1/4388720.Finally, GCF of Fractions for 1603/461, 2734/9520 is 1/4388720.