Greatest Common Factor of 871/827, 7831/140

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 871/827, 7831/140

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

GCF of:

Greatest Common Factor of 871/827,7831/140

Given fractions are 871/827,7831/140

Formula to find GCF of Fractions is

GCF = GCF of Numerators/LCM of Denominators

As per the formula GCF of Fractions let’s split into two parts and find the GCF of Numerators and LCM of Denominators

In the given fractions GCF of Numerators means GCF of 871,7831

Greatest Common Factor of Numerators i.e. GCF of 871,7831 is 1 .

LCM of Denominators means LCM of 827,140 as per the given fractions.

LCM of 827,140 is 115780 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 871,7831

GCF of Fractions 871/827,7831/140 is 1/115780

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

Greatest Common Factor of 871,7831 By Matching Biggest Common Factor Method

Greatest Common Factor of 871,7831 By Matching Biggest Common Factor Method

Factors of 871

List of positive integer factors of 871 that divides 871 without a remainder.

1,13,67,871

Factors of 7831

List of positive integer factors of 7831 that divides 7831 without a remainder.

1,41,191,7831

Greatest Common Factor

We found the factors 871,7831 . The biggest common factor number is the GCF number.
So the greatest common factor 871,7831 is 1.

Lets's calculate LCM of 827,140

Given numbers has no common factors except 1. So, there LCM is their product i.e 115780

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/115780

Therefore, the GCF of Fractions 871/827,7831/140 is 1/115780

Least Common Multiple of 827,140 with GCF Formula

Least Common Multiple of 827,140 with GCF Formula

The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 827,140 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(827,140) = 1

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

GCF(827,140) x common factors =1 x 1 = 1

LCM(827,140) = ( 827 × 140 ) / 1

LCM(827,140) = 115780 / 1

LCM(827,140) = 115780


GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

Frequently Asked Questions on Fractional GCF of 871/827, 7831/140

1. 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.

2. What is the GCF of Fractions for 871/827, 7831/140?

Answer: GCF of Numerators as per given numbers 871/827, 7831/140 is

GCF of Numerators i.e. for 871,7831 is 1

LCM of denominators i.e. for 827,140 is 115780.

Thus, GCF of Fractions is 1/115780.Finally, GCF of Fractions for 871/827, 7831/140 is 1/115780.