Greatest Common Factor of 664/37, 5445/825

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 664/37, 5445/825

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 664/37,5445/825

Given fractions are 664/37,5445/825

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 664,5445

Greatest Common Factor of Numerators i.e. GCF of 664,5445 is 1 .

LCM of Denominators means LCM of 37,825 as per the given fractions.

LCM of 37,825 is 30525 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 664,5445

GCF of Fractions 664/37,5445/825 is 1/30525

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

Greatest Common Factor of 664,5445 By Matching Biggest Common Factor Method

Greatest Common Factor of 664,5445 By Matching Biggest Common Factor Method

Factors of 664

List of positive integer factors of 664 that divides 664 without a remainder.

1,2,4,8,83,166,332,664

Factors of 5445

List of positive integer factors of 5445 that divides 5445 without a remainder.

1,3,5,9,11,15,33,45,55,99,121,165,363,495,605,1089,1815,5445

Greatest Common Factor

We found the factors 664,5445 . The biggest common factor number is the GCF number.
So the greatest common factor 664,5445 is 1.

Lets's calculate LCM of 37,825

Given numbers has no common factors except 1. So, there LCM is their product i.e 30525

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/30525

Therefore, the GCF of Fractions 664/37,5445/825 is 1/30525

Least Common Multiple of 37,825 with GCF Formula

Least Common Multiple of 37,825 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 37,825 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(37,825) = 1

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

GCF(37,825) x common factors =1 x 1 = 1

LCM(37,825) = ( 37 × 825 ) / 1

LCM(37,825) = 30525 / 1

LCM(37,825) = 30525


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 664/37, 5445/825

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 664/37, 5445/825?

Answer: GCF of Numerators as per given numbers 664/37, 5445/825 is

GCF of Numerators i.e. for 664,5445 is 1

LCM of denominators i.e. for 37,825 is 30525.

Thus, GCF of Fractions is 1/30525.Finally, GCF of Fractions for 664/37, 5445/825 is 1/30525.