Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 60/17,765/22,753/993
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 60,765,753
Greatest Common Factor of Numerators i.e. GCF of 60,765,753 is 3 .
LCM of Denominators means LCM of 17,22,993 as per the given fractions.
LCM of 17,22,993 is 371382 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 60,765,753
3 | 60, 765, 753 |
20, 255, 251 |
∴ So the GCF of the given numbers is 3 = 3
Factors of 60
List of positive integer factors of 60 that divides 60 without a remainder.
1,2,3,4,5,6,10,12,15,20,30,60
Factors of 765
List of positive integer factors of 765 that divides 765 without a remainder.
1,3,5,9,15,17,45,51,85,153,255,765
Factors of 753
List of positive integer factors of 753 that divides 753 without a remainder.
1,3,251,753
Greatest Common Factor
We found the factors 60,765,753 . The biggest common factor number is the GCF number.
So the greatest common factor 60,765,753 is 3.
Lets's calculate LCM of 17,22,993
Given numbers has no common factors except 1. So, there LCM is their product i.e 371382
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/371382
Therefore, the GCF of Fractions 60/17,765/22,753/993 is 3/371382
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 17,22,993 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(17,22,993) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(17,22,993) x common factors =1 x 1 = 1
LCM(17,22,993) = ( 17 × 22 × 993 ) / 1
LCM(17,22,993) = 371382 / 1
LCM(17,22,993) = 371382
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 60/17, 765/22, 753/993?
Answer: GCF of Numerators as per given numbers 60/17, 765/22, 753/993 is
GCF of Numerators i.e. for 60,765,753 is 3
LCM of denominators i.e. for 17,22,993 is 371382.
Thus, GCF of Fractions is 3/371382.Finally, GCF of Fractions for 60/17, 765/22, 753/993 is 3/371382.