How to Find GCF of 2357/743, 4027/1717?

GCF of 2357/743, 4027/1717

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 2357/743, 4027/1717 i.e 1/1275731 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2357/743, 4027/1717.

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 2357/743,4027/1717?

Given fractions are 2357/743,4027/1717

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 2357/743,4027/1717, numerators are 2357,4027

Denominators are 743,1717

The GCF of 2357,4027 is 1 .

LCM of 743,1717 is 1275731.

The greatest common factor of 2357/743,4027/1717 = [GCF of 2357,4027]/[LCM of 743,1717]= 1/1275731

Therefore, the GCF of 2357/743,4027/1717 is 1/1275731.

Greatest Common Factor of 2357,4027

To find the highest common factor of 2357,4027, we have to find the factors of both numbers and list the highest common factor.

The factors of 2357 are 1, 2357

The factors of 4027 are 1, 4027

The HCF of 2357,4027 is 1.

Lets's calculate GCF of 2357,4027

Greatest Common Factor (GCF) of 2357,4027 By Common Division

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

Greatest Common Factor of 2357,4027 By Matching Biggest Common Factor Method

Now, list down the factors of 2357

1,2357

Now, list down the factors of 4027

1,4027

Greatest Common Factor

We found the factors 2357,4027 . The biggest common factor number is the GCF number.
So the greatest common factor 2357,4027 is 1.

Lets's calculate LCM of 743,1717

Lowest Common Multiple of 743,1717 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 1275731

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1275731

Therefore, the GCF of Fractions 2357/743,4027/1717 is 1/1275731

Least Common Multiple of 743,1717 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 743,1717 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(743,1717) = 1

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

GCF(743,1717) x common factors =1 x 1 = 1

LCM(743,1717) = ( 743 × 1717 ) / 1

LCM(743,1717) = 1275731 / 1

LCM(743,1717) = 1275731

GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

FAQs on GCF of Fractions of 2357/743, 4027/1717

1. What is the HCF of 2357,4027?

The HCF of 2357,4027 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 2357/743, 4027/1717?

Answer: GCF of Numerators as per given numbers 2357/743, 4027/1717 is

GCF of Numerators i.e. for 2357,4027 is 1

LCM of denominators i.e. for 743,1717 is 1275731.

Thus, GCF of Fractions is 1/1275731.Finally, GCF of Fractions for 2357/743, 4027/1717 is 1/1275731.