Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 78/740,216/617,966/707
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 78,216,966
Greatest Common Factor of Numerators i.e. GCF of 78,216,966 is 6 .
LCM of Denominators means LCM of 740,617,707 as per the given fractions.
LCM of 740,617,707 is 322802060 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 78,216,966
2 | 78, 216, 966 |
3 | 39, 108, 483 |
13, 36, 161 |
∴ So the GCF of the given numbers is 2 x 3 = 6
Factors of 78
List of positive integer factors of 78 that divides 78 without a remainder.
1,2,3,6,13,26,39,78
Factors of 216
List of positive integer factors of 216 that divides 216 without a remainder.
1,2,3,4,6,8,9,12,18,24,27,36,54,72,108,216
Factors of 966
List of positive integer factors of 966 that divides 966 without a remainder.
1,2,3,6,7,14,21,23,42,46,69,138,161,322,483,966
Greatest Common Factor
We found the factors 78,216,966 . The biggest common factor number is the GCF number.
So the greatest common factor 78,216,966 is 6.
Lets's calculate LCM of 740,617,707
Given numbers has no common factors except 1. So, there LCM is their product i.e 322802060
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 6/322802060
Therefore, the GCF of Fractions 78/740,216/617,966/707 is 6/322802060
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 740,617,707 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(740,617,707) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(740,617,707) x common factors =1 x 1 = 1
LCM(740,617,707) = ( 740 × 617 × 707 ) / 1
LCM(740,617,707) = 322802060 / 1
LCM(740,617,707) = 322802060
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 78/740, 216/617, 966/707?
Answer: GCF of Numerators as per given numbers 78/740, 216/617, 966/707 is
GCF of Numerators i.e. for 78,216,966 is 6
LCM of denominators i.e. for 740,617,707 is 322802060.
Thus, GCF of Fractions is 6/322802060.Finally, GCF of Fractions for 78/740, 216/617, 966/707 is 6/322802060.