Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 195/103,1564/9635
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 195,1564
Greatest Common Factor of Numerators i.e. GCF of 195,1564 is 1 .
LCM of Denominators means LCM of 103,9635 as per the given fractions.
LCM of 103,9635 is 992405 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 195,1564
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 195
List of positive integer factors of 195 that divides 195 without a remainder.
1,3,5,13,15,39,65,195
Factors of 1564
List of positive integer factors of 1564 that divides 1564 without a remainder.
1,2,4,17,23,34,46,68,92,391,782,1564
Greatest Common Factor
We found the factors 195,1564 . The biggest common factor number is the GCF number.
So the greatest common factor 195,1564 is 1.
Lets's calculate LCM of 103,9635
Given numbers has no common factors except 1. So, there LCM is their product i.e 992405
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/992405
Therefore, the GCF of Fractions 195/103,1564/9635 is 1/992405
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 103,9635 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(103,9635) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(103,9635) x common factors =1 x 1 = 1
LCM(103,9635) = ( 103 × 9635 ) / 1
LCM(103,9635) = 992405 / 1
LCM(103,9635) = 992405
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 195/103, 1564/9635?
Answer: GCF of Numerators as per given numbers 195/103, 1564/9635 is
GCF of Numerators i.e. for 195,1564 is 1
LCM of denominators i.e. for 103,9635 is 992405.
Thus, GCF of Fractions is 1/992405.Finally, GCF of Fractions for 195/103, 1564/9635 is 1/992405.