Greatest Common Factor of 8896/457, 2436/9401

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 8896/457, 2436/9401

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 8896/457,2436/9401

Given fractions are 8896/457,2436/9401

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 8896,2436

Greatest Common Factor of Numerators i.e. GCF of 8896,2436 is 4 .

LCM of Denominators means LCM of 457,9401 as per the given fractions.

LCM of 457,9401 is 4296257 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 8896,2436

GCF of Fractions 8896/457,2436/9401 is 4/4296257

2 8896, 2436
2 4448, 1218
2224, 609

∴ So the GCF of the given numbers is 2 x 2 = 4

Greatest Common Factor of 8896,2436 By Matching Biggest Common Factor Method

Greatest Common Factor of 8896,2436 By Matching Biggest Common Factor Method

Factors of 8896

List of positive integer factors of 8896 that divides 8896 without a remainder.

1,2,4,8,16,32,64,139,278,556,1112,2224,4448,8896

Factors of 2436

List of positive integer factors of 2436 that divides 2436 without a remainder.

1,2,3,4,6,7,12,14,21,28,29,42,58,84,87,116,174,203,348,406,609,812,1218,2436

Greatest Common Factor

We found the factors 8896,2436 . The biggest common factor number is the GCF number.
So the greatest common factor 8896,2436 is 4.

Lets's calculate LCM of 457,9401

Given numbers has no common factors except 1. So, there LCM is their product i.e 4296257

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/4296257

Therefore, the GCF of Fractions 8896/457,2436/9401 is 4/4296257

Least Common Multiple of 457,9401 with GCF Formula

Least Common Multiple of 457,9401 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 457,9401 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(457,9401) = 1

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

GCF(457,9401) x common factors =1 x 1 = 1

LCM(457,9401) = ( 457 × 9401 ) / 1

LCM(457,9401) = 4296257 / 1

LCM(457,9401) = 4296257


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 8896/457, 2436/9401

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 8896/457, 2436/9401?

Answer: GCF of Numerators as per given numbers 8896/457, 2436/9401 is

GCF of Numerators i.e. for 8896,2436 is 4

LCM of denominators i.e. for 457,9401 is 4296257.

Thus, GCF of Fractions is 4/4296257.Finally, GCF of Fractions for 8896/457, 2436/9401 is 4/4296257.