Greatest Common Factor of 272/4017, 400/7033

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 272/4017, 400/7033

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 272/4017,400/7033

Given fractions are 272/4017,400/7033

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 272,400

Greatest Common Factor of Numerators i.e. GCF of 272,400 is 16 .

LCM of Denominators means LCM of 4017,7033 as per the given fractions.

LCM of 4017,7033 is 2173197 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 272,400

GCF of Fractions 272/4017,400/7033 is 16/2173197

2 272, 400
2 136, 200
2 68, 100
2 34, 50
17, 25

∴ So the GCF of the given numbers is 2 x 2 x 2 x 2 = 16

Greatest Common Factor of 272,400 By Matching Biggest Common Factor Method

Greatest Common Factor of 272,400 By Matching Biggest Common Factor Method

Factors of 272

List of positive integer factors of 272 that divides 272 without a remainder.

1,2,4,8,16,17,34,68,136,272

Factors of 400

List of positive integer factors of 400 that divides 400 without a remainder.

1,2,4,5,8,10,16,20,25,40,50,80,100,200,400

Greatest Common Factor

We found the factors 272,400 . The biggest common factor number is the GCF number.
So the greatest common factor 272,400 is 16.

Lets's calculate LCM of 4017,7033

13 4017, 7033
309, 541

∴ So the LCM of the given numbers is 13 x 309 x 541 = 2173197

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 16/2173197

Therefore, the GCF of Fractions 272/4017,400/7033 is 16/2173197

Least Common Multiple of 4017,7033 with GCF Formula

Least Common Multiple of 4017,7033 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 4017,7033 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(4017,7033) = 13

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

GCF(4017,7033) x common factors =13 x 1 = 13

LCM(4017,7033) = ( 4017 × 7033 ) / 13

LCM(4017,7033) = 28251561 / 13

LCM(4017,7033) = 2173197


GCF of Fractions Calculation Examples

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GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

Frequently Asked Questions on Fractional GCF of 272/4017, 400/7033

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 272/4017, 400/7033?

Answer: GCF of Numerators as per given numbers 272/4017, 400/7033 is

GCF of Numerators i.e. for 272,400 is 16

LCM of denominators i.e. for 4017,7033 is 2173197.

Thus, GCF of Fractions is 16/2173197.Finally, GCF of Fractions for 272/4017, 400/7033 is 16/2173197.