Greatest Common Factor of 1171/824, 4237/6301

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 1171/824, 4237/6301

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 1171/824,4237/6301

Given fractions are 1171/824,4237/6301

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 1171,4237

Greatest Common Factor of Numerators i.e. GCF of 1171,4237 is 1 .

LCM of Denominators means LCM of 824,6301 as per the given fractions.

LCM of 824,6301 is 5192024 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 1171,4237

GCF of Fractions 1171/824,4237/6301 is 1/5192024

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

Greatest Common Factor of 1171,4237 By Matching Biggest Common Factor Method

Greatest Common Factor of 1171,4237 By Matching Biggest Common Factor Method

Factors of 1171

List of positive integer factors of 1171 that divides 1171 without a remainder.

1,1171

Factors of 4237

List of positive integer factors of 4237 that divides 4237 without a remainder.

1,19,223,4237

Greatest Common Factor

We found the factors 1171,4237 . The biggest common factor number is the GCF number.
So the greatest common factor 1171,4237 is 1.

Lets's calculate LCM of 824,6301

Given numbers has no common factors except 1. So, there LCM is their product i.e 5192024

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/5192024

Therefore, the GCF of Fractions 1171/824,4237/6301 is 1/5192024

Least Common Multiple of 824,6301 with GCF Formula

Least Common Multiple of 824,6301 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 824,6301 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(824,6301) = 1

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

GCF(824,6301) x common factors =1 x 1 = 1

LCM(824,6301) = ( 824 × 6301 ) / 1

LCM(824,6301) = 5192024 / 1

LCM(824,6301) = 5192024


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 1171/824, 4237/6301

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 1171/824, 4237/6301?

Answer: GCF of Numerators as per given numbers 1171/824, 4237/6301 is

GCF of Numerators i.e. for 1171,4237 is 1

LCM of denominators i.e. for 824,6301 is 5192024.

Thus, GCF of Fractions is 1/5192024.Finally, GCF of Fractions for 1171/824, 4237/6301 is 1/5192024.