Greatest Common Factor of 7378/20, 3530/896

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 7378/20, 3530/896

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 7378/20,3530/896

Given fractions are 7378/20,3530/896

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 7378,3530

Greatest Common Factor of Numerators i.e. GCF of 7378,3530 is 2 .

LCM of Denominators means LCM of 20,896 as per the given fractions.

LCM of 20,896 is 4480 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 7378,3530

GCF of Fractions 7378/20,3530/896 is 2/4480

2 7378, 3530
3689, 1765

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

Greatest Common Factor of 7378,3530 By Matching Biggest Common Factor Method

Greatest Common Factor of 7378,3530 By Matching Biggest Common Factor Method

Factors of 7378

List of positive integer factors of 7378 that divides 7378 without a remainder.

1,2,7,14,17,31,34,62,119,217,238,434,527,1054,3689,7378

Factors of 3530

List of positive integer factors of 3530 that divides 3530 without a remainder.

1,2,5,10,353,706,1765,3530

Greatest Common Factor

We found the factors 7378,3530 . The biggest common factor number is the GCF number.
So the greatest common factor 7378,3530 is 2.

Lets's calculate LCM of 20,896

2 20, 896
2 10, 448
5, 224

∴ So the LCM of the given numbers is 2 x 2 x 5 x 224 = 4480

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/4480

Therefore, the GCF of Fractions 7378/20,3530/896 is 2/4480

Least Common Multiple of 20,896 with GCF Formula

Least Common Multiple of 20,896 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 20,896 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(20,896) = 4

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

GCF(20,896) x common factors =4 x 1 = 4

LCM(20,896) = ( 20 × 896 ) / 4

LCM(20,896) = 17920 / 4

LCM(20,896) = 4480


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 7378/20, 3530/896

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 7378/20, 3530/896?

Answer: GCF of Numerators as per given numbers 7378/20, 3530/896 is

GCF of Numerators i.e. for 7378,3530 is 2

LCM of denominators i.e. for 20,896 is 4480.

Thus, GCF of Fractions is 2/4480.Finally, GCF of Fractions for 7378/20, 3530/896 is 2/4480.