Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 61/568,9852/1627
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 61,9852
Greatest Common Factor of Numerators i.e. GCF of 61,9852 is 1 .
LCM of Denominators means LCM of 568,1627 as per the given fractions.
LCM of 568,1627 is 924136 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 61,9852
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 61
List of positive integer factors of 61 that divides 61 without a remainder.
1,61
Factors of 9852
List of positive integer factors of 9852 that divides 9852 without a remainder.
1,2,3,4,6,12,821,1642,2463,3284,4926,9852
Greatest Common Factor
We found the factors 61,9852 . The biggest common factor number is the GCF number.
So the greatest common factor 61,9852 is 1.
Lets's calculate LCM of 568,1627
Given numbers has no common factors except 1. So, there LCM is their product i.e 924136
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/924136
Therefore, the GCF of Fractions 61/568,9852/1627 is 1/924136
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 568,1627 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(568,1627) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(568,1627) x common factors =1 x 1 = 1
LCM(568,1627) = ( 568 × 1627 ) / 1
LCM(568,1627) = 924136 / 1
LCM(568,1627) = 924136
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 61/568, 9852/1627?
Answer: GCF of Numerators as per given numbers 61/568, 9852/1627 is
GCF of Numerators i.e. for 61,9852 is 1
LCM of denominators i.e. for 568,1627 is 924136.
Thus, GCF of Fractions is 1/924136.Finally, GCF of Fractions for 61/568, 9852/1627 is 1/924136.