How to Find GCF of 7285/141, 5907/6256?

GCF of 7285/141, 5907/6256

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 7285/141, 5907/6256 i.e 1/882096 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7285/141, 5907/6256.

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 7285/141,5907/6256?

Given fractions are 7285/141,5907/6256

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 7285/141,5907/6256, numerators are 7285,5907

Denominators are 141,6256

The GCF of 7285,5907 is 1 .

LCM of 141,6256 is 882096.

The greatest common factor of 7285/141,5907/6256 = [GCF of 7285,5907]/[LCM of 141,6256]= 1/882096

Therefore, the GCF of 7285/141,5907/6256 is 1/882096.

Greatest Common Factor of 7285,5907

To find the highest common factor of 7285,5907, we have to find the factors of both numbers and list the highest common factor.

The factors of 7285 are 1, 5, 31, 47, 155, 235, 1457, 7285

The factors of 5907 are 1, 3, 11, 33, 179, 537, 1969, 5907

The HCF of 7285,5907 is 1.

Lets's calculate GCF of 7285,5907

Greatest Common Factor (GCF) of 7285,5907 By Common Division

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

Greatest Common Factor of 7285,5907 By Matching Biggest Common Factor Method

Now, list down the factors of 7285

1,5,31,47,155,235,1457,7285

Now, list down the factors of 5907

1,3,11,33,179,537,1969,5907

Greatest Common Factor

We found the factors 7285,5907 . The biggest common factor number is the GCF number.
So the greatest common factor 7285,5907 is 1.

Lets's calculate LCM of 141,6256

Lowest Common Multiple of 141,6256 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 882096

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/882096

Therefore, the GCF of Fractions 7285/141,5907/6256 is 1/882096

Least Common Multiple of 141,6256 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 141,6256 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(141,6256) = 1

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

GCF(141,6256) x common factors =1 x 1 = 1

LCM(141,6256) = ( 141 × 6256 ) / 1

LCM(141,6256) = 882096 / 1

LCM(141,6256) = 882096

GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

FAQs on GCF of Fractions of 7285/141, 5907/6256

1. What is the HCF of 7285,5907?

The HCF of 7285,5907 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 7285/141, 5907/6256?

Answer: GCF of Numerators as per given numbers 7285/141, 5907/6256 is

GCF of Numerators i.e. for 7285,5907 is 1

LCM of denominators i.e. for 141,6256 is 882096.

Thus, GCF of Fractions is 1/882096.Finally, GCF of Fractions for 7285/141, 5907/6256 is 1/882096.