Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 6132/779,9435/5973
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 6132,9435
Greatest Common Factor of Numerators i.e. GCF of 6132,9435 is 3 .
LCM of Denominators means LCM of 779,5973 as per the given fractions.
LCM of 779,5973 is 4652967 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 6132,9435
3 | 6132, 9435 |
2044, 3145 |
∴ So the GCF of the given numbers is 3 = 3
Factors of 6132
List of positive integer factors of 6132 that divides 6132 without a remainder.
1,2,3,4,6,7,12,14,21,28,42,73,84,146,219,292,438,511,876,1022,1533,2044,3066,6132
Factors of 9435
List of positive integer factors of 9435 that divides 9435 without a remainder.
1,3,5,15,17,37,51,85,111,185,255,555,629,1887,3145,9435
Greatest Common Factor
We found the factors 6132,9435 . The biggest common factor number is the GCF number.
So the greatest common factor 6132,9435 is 3.
Lets's calculate LCM of 779,5973
Given numbers has no common factors except 1. So, there LCM is their product i.e 4652967
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/4652967
Therefore, the GCF of Fractions 6132/779,9435/5973 is 3/4652967
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 779,5973 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(779,5973) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(779,5973) x common factors =1 x 1 = 1
LCM(779,5973) = ( 779 × 5973 ) / 1
LCM(779,5973) = 4652967 / 1
LCM(779,5973) = 4652967
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 6132/779, 9435/5973?
Answer: GCF of Numerators as per given numbers 6132/779, 9435/5973 is
GCF of Numerators i.e. for 6132,9435 is 3
LCM of denominators i.e. for 779,5973 is 4652967.
Thus, GCF of Fractions is 3/4652967.Finally, GCF of Fractions for 6132/779, 9435/5973 is 3/4652967.