How to Find GCF of 307/407, 4575/619?

GCF of 307/407, 4575/619

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 307/407, 4575/619 i.e 1/251933 easily. The following is the detailed procedure to determine the greatest common factor of fractions 307/407, 4575/619.

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 307/407,4575/619?

Given fractions are 307/407,4575/619

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 307/407,4575/619, numerators are 307,4575

Denominators are 407,619

The GCF of 307,4575 is 1 .

LCM of 407,619 is 251933.

The greatest common factor of 307/407,4575/619 = [GCF of 307,4575]/[LCM of 407,619]= 1/251933

Therefore, the GCF of 307/407,4575/619 is 1/251933.

Greatest Common Factor of 307,4575

To find the highest common factor of 307,4575, we have to find the factors of both numbers and list the highest common factor.

The factors of 307 are 1, 307

The factors of 4575 are 1, 3, 5, 15, 25, 61, 75, 183, 305, 915, 1525, 4575

The HCF of 307,4575 is 1.

Lets's calculate GCF of 307,4575

Greatest Common Factor (GCF) of 307,4575 By Common Division

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

Greatest Common Factor of 307,4575 By Matching Biggest Common Factor Method

Now, list down the factors of 307

1,307

Now, list down the factors of 4575

1,3,5,15,25,61,75,183,305,915,1525,4575

Greatest Common Factor

We found the factors 307,4575 . The biggest common factor number is the GCF number.
So the greatest common factor 307,4575 is 1.

Lets's calculate LCM of 407,619

Lowest Common Multiple of 407,619 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 251933

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/251933

Therefore, the GCF of Fractions 307/407,4575/619 is 1/251933

Least Common Multiple of 407,619 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 407,619 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(407,619) = 1

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

GCF(407,619) x common factors =1 x 1 = 1

LCM(407,619) = ( 407 × 619 ) / 1

LCM(407,619) = 251933 / 1

LCM(407,619) = 251933

GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

FAQs on GCF of Fractions of 307/407, 4575/619

1. What is the HCF of 307,4575?

The HCF of 307,4575 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 307/407, 4575/619?

Answer: GCF of Numerators as per given numbers 307/407, 4575/619 is

GCF of Numerators i.e. for 307,4575 is 1

LCM of denominators i.e. for 407,619 is 251933.

Thus, GCF of Fractions is 1/251933.Finally, GCF of Fractions for 307/407, 4575/619 is 1/251933.