Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 537/577,3631/326
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 537,3631
Greatest Common Factor of Numerators i.e. GCF of 537,3631 is 1 .
LCM of Denominators means LCM of 577,326 as per the given fractions.
LCM of 577,326 is 188102 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 537,3631
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 537
List of positive integer factors of 537 that divides 537 without a remainder.
1,3,179,537
Factors of 3631
List of positive integer factors of 3631 that divides 3631 without a remainder.
1,3631
Greatest Common Factor
We found the factors 537,3631 . The biggest common factor number is the GCF number.
So the greatest common factor 537,3631 is 1.
Lets's calculate LCM of 577,326
Given numbers has no common factors except 1. So, there LCM is their product i.e 188102
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/188102
Therefore, the GCF of Fractions 537/577,3631/326 is 1/188102
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 577,326 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(577,326) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(577,326) x common factors =1 x 1 = 1
LCM(577,326) = ( 577 × 326 ) / 1
LCM(577,326) = 188102 / 1
LCM(577,326) = 188102
Here are some samples of GCF of Fractions calculations.
Here are some samples of GCF of Fractions calculations.
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 537/577, 3631/326?
Answer: GCF of Numerators as per given numbers 537/577, 3631/326 is
GCF of Numerators i.e. for 537,3631 is 1
LCM of denominators i.e. for 577,326 is 188102.
Thus, GCF of Fractions is 1/188102.Finally, GCF of Fractions for 537/577, 3631/326 is 1/188102.