Greatest Common Factor of 70/524, 8449/3184

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 70/524, 8449/3184

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 70/524,8449/3184

Given fractions are 70/524,8449/3184

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 70,8449

Greatest Common Factor of Numerators i.e. GCF of 70,8449 is 7 .

LCM of Denominators means LCM of 524,3184 as per the given fractions.

LCM of 524,3184 is 417104 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 70,8449

GCF of Fractions 70/524,8449/3184 is 7/417104

7 70, 8449
10, 1207

∴ So the GCF of the given numbers is 7 = 7

Greatest Common Factor of 70,8449 By Matching Biggest Common Factor Method

Greatest Common Factor of 70,8449 By Matching Biggest Common Factor Method

Factors of 70

List of positive integer factors of 70 that divides 70 without a remainder.

1,2,5,7,10,14,35,70

Factors of 8449

List of positive integer factors of 8449 that divides 8449 without a remainder.

1,7,17,71,119,497,1207,8449

Greatest Common Factor

We found the factors 70,8449 . The biggest common factor number is the GCF number.
So the greatest common factor 70,8449 is 7.

Lets's calculate LCM of 524,3184

2 524, 3184
2 262, 1592
131, 796

∴ So the LCM of the given numbers is 2 x 2 x 131 x 796 = 417104

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 7/417104

Therefore, the GCF of Fractions 70/524,8449/3184 is 7/417104

Least Common Multiple of 524,3184 with GCF Formula

Least Common Multiple of 524,3184 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 524,3184 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(524,3184) = 4

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

GCF(524,3184) x common factors =4 x 1 = 4

LCM(524,3184) = ( 524 × 3184 ) / 4

LCM(524,3184) = 1668416 / 4

LCM(524,3184) = 417104


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 70/524, 8449/3184

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 70/524, 8449/3184?

Answer: GCF of Numerators as per given numbers 70/524, 8449/3184 is

GCF of Numerators i.e. for 70,8449 is 7

LCM of denominators i.e. for 524,3184 is 417104.

Thus, GCF of Fractions is 7/417104.Finally, GCF of Fractions for 70/524, 8449/3184 is 7/417104.