Greatest Common Factor of 856/711, 4275/803

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 856/711, 4275/803

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 856/711,4275/803

Given fractions are 856/711,4275/803

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 856,4275

Greatest Common Factor of Numerators i.e. GCF of 856,4275 is 1 .

LCM of Denominators means LCM of 711,803 as per the given fractions.

LCM of 711,803 is 570933 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 856,4275

GCF of Fractions 856/711,4275/803 is 1/570933

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

Greatest Common Factor of 856,4275 By Matching Biggest Common Factor Method

Greatest Common Factor of 856,4275 By Matching Biggest Common Factor Method

Factors of 856

List of positive integer factors of 856 that divides 856 without a remainder.

1,2,4,8,107,214,428,856

Factors of 4275

List of positive integer factors of 4275 that divides 4275 without a remainder.

1,3,5,9,15,19,25,45,57,75,95,171,225,285,475,855,1425,4275

Greatest Common Factor

We found the factors 856,4275 . The biggest common factor number is the GCF number.
So the greatest common factor 856,4275 is 1.

Lets's calculate LCM of 711,803

Given numbers has no common factors except 1. So, there LCM is their product i.e 570933

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/570933

Therefore, the GCF of Fractions 856/711,4275/803 is 1/570933

Least Common Multiple of 711,803 with GCF Formula

Least Common Multiple of 711,803 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 711,803 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(711,803) = 1

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

GCF(711,803) x common factors =1 x 1 = 1

LCM(711,803) = ( 711 × 803 ) / 1

LCM(711,803) = 570933 / 1

LCM(711,803) = 570933


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 856/711, 4275/803

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 856/711, 4275/803?

Answer: GCF of Numerators as per given numbers 856/711, 4275/803 is

GCF of Numerators i.e. for 856,4275 is 1

LCM of denominators i.e. for 711,803 is 570933.

Thus, GCF of Fractions is 1/570933.Finally, GCF of Fractions for 856/711, 4275/803 is 1/570933.