Greatest Common Factor of 311/97, 200/10, 547/457

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 311/97, 200/10, 547/457

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 311/97,200/10,547/457

Given fractions are 311/97,200/10,547/457

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 311,200,547

Greatest Common Factor of Numerators i.e. GCF of 311,200,547 is 1 .

LCM of Denominators means LCM of 97,10,457 as per the given fractions.

LCM of 97,10,457 is 443290 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 311,200,547

GCF of Fractions 311/97,200/10,547/457 is 1/443290

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

Greatest Common Factor of 311,200,547 By Matching Biggest Common Factor Method

Greatest Common Factor of 311,200,547 By Matching Biggest Common Factor Method

Factors of 311

List of positive integer factors of 311 that divides 311 without a remainder.

1,311

Factors of 200

List of positive integer factors of 200 that divides 200 without a remainder.

1,2,4,5,8,10,20,25,40,50,100,200

Factors of 547

List of positive integer factors of 547 that divides 547 without a remainder.

1,547

Greatest Common Factor

We found the factors 311,200,547 . The biggest common factor number is the GCF number.
So the greatest common factor 311,200,547 is 1.

Lets's calculate LCM of 97,10,457

Given numbers has no common factors except 1. So, there LCM is their product i.e 443290

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/443290

Therefore, the GCF of Fractions 311/97,200/10,547/457 is 1/443290

Least Common Multiple of 97,10,457 with GCF Formula

Least Common Multiple of 97,10,457 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 97,10,457 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(97,10,457) = 1

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

GCF(97,10,457) x common factors =1 x 1 = 1

LCM(97,10,457) = ( 97 × 10 × 457 ) / 1

LCM(97,10,457) = 443290 / 1

LCM(97,10,457) = 443290


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 311/97, 200/10, 547/457

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 311/97, 200/10, 547/457?

Answer: GCF of Numerators as per given numbers 311/97, 200/10, 547/457 is

GCF of Numerators i.e. for 311,200,547 is 1

LCM of denominators i.e. for 97,10,457 is 443290.

Thus, GCF of Fractions is 1/443290.Finally, GCF of Fractions for 311/97, 200/10, 547/457 is 1/443290.