Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 77/310,520/236,996/954
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 77,520,996
Greatest Common Factor of Numerators i.e. GCF of 77,520,996 is 1 .
LCM of Denominators means LCM of 310,236,954 as per the given fractions.
LCM of 310,236,954 is 17448660 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 77,520,996
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 77
List of positive integer factors of 77 that divides 77 without a remainder.
1,7,11,77
Factors of 520
List of positive integer factors of 520 that divides 520 without a remainder.
1,2,4,5,8,10,13,20,26,40,52,65,104,130,260,520
Factors of 996
List of positive integer factors of 996 that divides 996 without a remainder.
1,2,3,4,6,12,83,166,249,332,498,996
Greatest Common Factor
We found the factors 77,520,996 . The biggest common factor number is the GCF number.
So the greatest common factor 77,520,996 is 1.
Lets's calculate LCM of 310,236,954
2 | 310, 236, 954 |
155, 118, 477 |
∴ So the LCM of the given numbers is 2 x 155 x 118 x 477 = 17448660
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/17448660
Therefore, the GCF of Fractions 77/310,520/236,996/954 is 1/17448660
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 310,236,954 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(310,236,954) = 2
common factors(in case of two or more numbers have common factors) = 2
GCF(310,236,954) x common factors =2 x 2 = 4
LCM(310,236,954) = ( 310 × 236 × 954 ) / 4
LCM(310,236,954) = 69794640 / 4
LCM(310,236,954) = 17448660
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 77/310, 520/236, 996/954?
Answer: GCF of Numerators as per given numbers 77/310, 520/236, 996/954 is
GCF of Numerators i.e. for 77,520,996 is 1
LCM of denominators i.e. for 310,236,954 is 17448660.
Thus, GCF of Fractions is 1/17448660.Finally, GCF of Fractions for 77/310, 520/236, 996/954 is 1/17448660.