Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 869/73,660/6973
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 869,660
Greatest Common Factor of Numerators i.e. GCF of 869,660 is 11 .
LCM of Denominators means LCM of 73,6973 as per the given fractions.
LCM of 73,6973 is 509029 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 869,660
11 | 869, 660 |
79, 60 |
∴ So the GCF of the given numbers is 11 = 11
Factors of 869
List of positive integer factors of 869 that divides 869 without a remainder.
1,11,79,869
Factors of 660
List of positive integer factors of 660 that divides 660 without a remainder.
1,2,3,4,5,6,10,11,12,15,20,22,30,33,44,55,60,66,110,132,165,220,330,660
Greatest Common Factor
We found the factors 869,660 . The biggest common factor number is the GCF number.
So the greatest common factor 869,660 is 11.
Lets's calculate LCM of 73,6973
Given numbers has no common factors except 1. So, there LCM is their product i.e 509029
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 11/509029
Therefore, the GCF of Fractions 869/73,660/6973 is 11/509029
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 73,6973 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(73,6973) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(73,6973) x common factors =1 x 1 = 1
LCM(73,6973) = ( 73 × 6973 ) / 1
LCM(73,6973) = 509029 / 1
LCM(73,6973) = 509029
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 869/73, 660/6973?
Answer: GCF of Numerators as per given numbers 869/73, 660/6973 is
GCF of Numerators i.e. for 869,660 is 11
LCM of denominators i.e. for 73,6973 is 509029.
Thus, GCF of Fractions is 11/509029.Finally, GCF of Fractions for 869/73, 660/6973 is 11/509029.