Greatest Common Factor of 9216/475, 4253/6421

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 9216/475, 4253/6421

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 9216/475,4253/6421

Given fractions are 9216/475,4253/6421

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 9216,4253

Greatest Common Factor of Numerators i.e. GCF of 9216,4253 is 1 .

LCM of Denominators means LCM of 475,6421 as per the given fractions.

LCM of 475,6421 is 3049975 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 9216,4253

GCF of Fractions 9216/475,4253/6421 is 1/3049975

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

Greatest Common Factor of 9216,4253 By Matching Biggest Common Factor Method

Greatest Common Factor of 9216,4253 By Matching Biggest Common Factor Method

Factors of 9216

List of positive integer factors of 9216 that divides 9216 without a remainder.

1,2,3,4,6,8,9,12,16,18,24,32,36,48,64,72,96,128,144,192,256,288,384,512,576,768,1024,1152,1536,2304,3072,4608,9216

Factors of 4253

List of positive integer factors of 4253 that divides 4253 without a remainder.

1,4253

Greatest Common Factor

We found the factors 9216,4253 . The biggest common factor number is the GCF number.
So the greatest common factor 9216,4253 is 1.

Lets's calculate LCM of 475,6421

Given numbers has no common factors except 1. So, there LCM is their product i.e 3049975

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/3049975

Therefore, the GCF of Fractions 9216/475,4253/6421 is 1/3049975

Least Common Multiple of 475,6421 with GCF Formula

Least Common Multiple of 475,6421 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 475,6421 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(475,6421) = 1

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

GCF(475,6421) x common factors =1 x 1 = 1

LCM(475,6421) = ( 475 × 6421 ) / 1

LCM(475,6421) = 3049975 / 1

LCM(475,6421) = 3049975


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 9216/475, 4253/6421

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 9216/475, 4253/6421?

Answer: GCF of Numerators as per given numbers 9216/475, 4253/6421 is

GCF of Numerators i.e. for 9216,4253 is 1

LCM of denominators i.e. for 475,6421 is 3049975.

Thus, GCF of Fractions is 1/3049975.Finally, GCF of Fractions for 9216/475, 4253/6421 is 1/3049975.