Greatest Common Factor of 5248/225, 5536/692

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 5248/225, 5536/692

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 5248/225,5536/692

Given fractions are 5248/225,5536/692

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 5248,5536

Greatest Common Factor of Numerators i.e. GCF of 5248,5536 is 32 .

LCM of Denominators means LCM of 225,692 as per the given fractions.

LCM of 225,692 is 155700 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 5248,5536

GCF of Fractions 5248/225,5536/692 is 32/155700

2 5248, 5536
2 2624, 2768
2 1312, 1384
2 656, 692
2 328, 346
164, 173

∴ So the GCF of the given numbers is 2 x 2 x 2 x 2 x 2 = 32

Greatest Common Factor of 5248,5536 By Matching Biggest Common Factor Method

Greatest Common Factor of 5248,5536 By Matching Biggest Common Factor Method

Factors of 5248

List of positive integer factors of 5248 that divides 5248 without a remainder.

1,2,4,8,16,32,41,64,82,128,164,328,656,1312,2624,5248

Factors of 5536

List of positive integer factors of 5536 that divides 5536 without a remainder.

1,2,4,8,16,32,173,346,692,1384,2768,5536

Greatest Common Factor

We found the factors 5248,5536 . The biggest common factor number is the GCF number.
So the greatest common factor 5248,5536 is 32.

Lets's calculate LCM of 225,692

Given numbers has no common factors except 1. So, there LCM is their product i.e 155700

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 32/155700

Therefore, the GCF of Fractions 5248/225,5536/692 is 32/155700

Least Common Multiple of 225,692 with GCF Formula

Least Common Multiple of 225,692 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 225,692 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(225,692) = 1

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

GCF(225,692) x common factors =1 x 1 = 1

LCM(225,692) = ( 225 × 692 ) / 1

LCM(225,692) = 155700 / 1

LCM(225,692) = 155700


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 5248/225, 5536/692

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 5248/225, 5536/692?

Answer: GCF of Numerators as per given numbers 5248/225, 5536/692 is

GCF of Numerators i.e. for 5248,5536 is 32

LCM of denominators i.e. for 225,692 is 155700.

Thus, GCF of Fractions is 32/155700.Finally, GCF of Fractions for 5248/225, 5536/692 is 32/155700.