Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 13/961,160/235,693/942
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 13,160,693
Greatest Common Factor of Numerators i.e. GCF of 13,160,693 is 1 .
LCM of Denominators means LCM of 961,235,942 as per the given fractions.
LCM of 961,235,942 is 212736570 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 13,160,693
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 13
List of positive integer factors of 13 that divides 13 without a remainder.
1,13
Factors of 160
List of positive integer factors of 160 that divides 160 without a remainder.
1,2,4,5,8,10,16,20,32,40,80,160
Factors of 693
List of positive integer factors of 693 that divides 693 without a remainder.
1,3,7,9,11,21,33,63,77,99,231,693
Greatest Common Factor
We found the factors 13,160,693 . The biggest common factor number is the GCF number.
So the greatest common factor 13,160,693 is 1.
Lets's calculate LCM of 961,235,942
Given numbers has no common factors except 1. So, there LCM is their product i.e 212736570
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/212736570
Therefore, the GCF of Fractions 13/961,160/235,693/942 is 1/212736570
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 961,235,942 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(961,235,942) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(961,235,942) x common factors =1 x 1 = 1
LCM(961,235,942) = ( 961 × 235 × 942 ) / 1
LCM(961,235,942) = 212736570 / 1
LCM(961,235,942) = 212736570
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 13/961, 160/235, 693/942?
Answer: GCF of Numerators as per given numbers 13/961, 160/235, 693/942 is
GCF of Numerators i.e. for 13,160,693 is 1
LCM of denominators i.e. for 961,235,942 is 212736570.
Thus, GCF of Fractions is 1/212736570.Finally, GCF of Fractions for 13/961, 160/235, 693/942 is 1/212736570.