How to Find GCF of 2595/607, 1481/1169?

GCF of 2595/607, 1481/1169

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 2595/607, 1481/1169 i.e 1/709583 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2595/607, 1481/1169.

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 2595/607,1481/1169?

Given fractions are 2595/607,1481/1169

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 2595/607,1481/1169, numerators are 2595,1481

Denominators are 607,1169

The GCF of 2595,1481 is 1 .

LCM of 607,1169 is 709583.

The greatest common factor of 2595/607,1481/1169 = [GCF of 2595,1481]/[LCM of 607,1169]= 1/709583

Therefore, the GCF of 2595/607,1481/1169 is 1/709583.

Greatest Common Factor of 2595,1481

To find the highest common factor of 2595,1481, we have to find the factors of both numbers and list the highest common factor.

The factors of 2595 are 1, 3, 5, 15, 173, 519, 865, 2595

The factors of 1481 are 1, 1481

The HCF of 2595,1481 is 1.

Lets's calculate GCF of 2595,1481

Greatest Common Factor (GCF) of 2595,1481 By Common Division

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

Greatest Common Factor of 2595,1481 By Matching Biggest Common Factor Method

Now, list down the factors of 2595

1,3,5,15,173,519,865,2595

Now, list down the factors of 1481

1,1481

Greatest Common Factor

We found the factors 2595,1481 . The biggest common factor number is the GCF number.
So the greatest common factor 2595,1481 is 1.

Lets's calculate LCM of 607,1169

Lowest Common Multiple of 607,1169 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 709583

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/709583

Therefore, the GCF of Fractions 2595/607,1481/1169 is 1/709583

Least Common Multiple of 607,1169 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 607,1169 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(607,1169) = 1

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

GCF(607,1169) x common factors =1 x 1 = 1

LCM(607,1169) = ( 607 × 1169 ) / 1

LCM(607,1169) = 709583 / 1

LCM(607,1169) = 709583

GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

FAQs on GCF of Fractions of 2595/607, 1481/1169

1. What is the HCF of 2595,1481?

The HCF of 2595,1481 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 2595/607, 1481/1169?

Answer: GCF of Numerators as per given numbers 2595/607, 1481/1169 is

GCF of Numerators i.e. for 2595,1481 is 1

LCM of denominators i.e. for 607,1169 is 709583.

Thus, GCF of Fractions is 1/709583.Finally, GCF of Fractions for 2595/607, 1481/1169 is 1/709583.