Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 8011/587,5214/1220
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 8011,5214
Greatest Common Factor of Numerators i.e. GCF of 8011,5214 is 1 .
LCM of Denominators means LCM of 587,1220 as per the given fractions.
LCM of 587,1220 is 716140 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 8011,5214
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 8011
List of positive integer factors of 8011 that divides 8011 without a remainder.
1,8011
Factors of 5214
List of positive integer factors of 5214 that divides 5214 without a remainder.
1,2,3,6,11,22,33,66,79,158,237,474,869,1738,2607,5214
Greatest Common Factor
We found the factors 8011,5214 . The biggest common factor number is the GCF number.
So the greatest common factor 8011,5214 is 1.
Lets's calculate LCM of 587,1220
Given numbers has no common factors except 1. So, there LCM is their product i.e 716140
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/716140
Therefore, the GCF of Fractions 8011/587,5214/1220 is 1/716140
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 587,1220 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(587,1220) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(587,1220) x common factors =1 x 1 = 1
LCM(587,1220) = ( 587 × 1220 ) / 1
LCM(587,1220) = 716140 / 1
LCM(587,1220) = 716140
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 8011/587, 5214/1220?
Answer: GCF of Numerators as per given numbers 8011/587, 5214/1220 is
GCF of Numerators i.e. for 8011,5214 is 1
LCM of denominators i.e. for 587,1220 is 716140.
Thus, GCF of Fractions is 1/716140.Finally, GCF of Fractions for 8011/587, 5214/1220 is 1/716140.