How to Find GCF of 2565/220, 1427/1253?

GCF of 2565/220, 1427/1253

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 2565/220, 1427/1253 i.e 1/275660 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2565/220, 1427/1253.

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 2565/220,1427/1253?

Given fractions are 2565/220,1427/1253

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 2565/220,1427/1253, numerators are 2565,1427

Denominators are 220,1253

The GCF of 2565,1427 is 1 .

LCM of 220,1253 is 275660.

The greatest common factor of 2565/220,1427/1253 = [GCF of 2565,1427]/[LCM of 220,1253]= 1/275660

Therefore, the GCF of 2565/220,1427/1253 is 1/275660.

Greatest Common Factor of 2565,1427

To find the highest common factor of 2565,1427, we have to find the factors of both numbers and list the highest common factor.

The factors of 2565 are 1, 3, 5, 9, 15, 19, 27, 45, 57, 95, 135, 171, 285, 513, 855, 2565

The factors of 1427 are 1, 1427

The HCF of 2565,1427 is 1.

Lets's calculate GCF of 2565,1427

Greatest Common Factor (GCF) of 2565,1427 By Common Division

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

Greatest Common Factor of 2565,1427 By Matching Biggest Common Factor Method

Now, list down the factors of 2565

1,3,5,9,15,19,27,45,57,95,135,171,285,513,855,2565

Now, list down the factors of 1427

1,1427

Greatest Common Factor

We found the factors 2565,1427 . The biggest common factor number is the GCF number.
So the greatest common factor 2565,1427 is 1.

Lets's calculate LCM of 220,1253

Lowest Common Multiple of 220,1253 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 275660

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/275660

Therefore, the GCF of Fractions 2565/220,1427/1253 is 1/275660

Least Common Multiple of 220,1253 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 220,1253 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(220,1253) = 1

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

GCF(220,1253) x common factors =1 x 1 = 1

LCM(220,1253) = ( 220 × 1253 ) / 1

LCM(220,1253) = 275660 / 1

LCM(220,1253) = 275660

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FAQs on GCF of Fractions of 2565/220, 1427/1253

1. What is the HCF of 2565,1427?

The HCF of 2565,1427 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 2565/220, 1427/1253?

Answer: GCF of Numerators as per given numbers 2565/220, 1427/1253 is

GCF of Numerators i.e. for 2565,1427 is 1

LCM of denominators i.e. for 220,1253 is 275660.

Thus, GCF of Fractions is 1/275660.Finally, GCF of Fractions for 2565/220, 1427/1253 is 1/275660.