Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 372/99,306/43,804/702
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 372,306,804
Greatest Common Factor of Numerators i.e. GCF of 372,306,804 is 6 .
LCM of Denominators means LCM of 99,43,702 as per the given fractions.
LCM of 99,43,702 is 332046 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 372,306,804
2 | 372, 306, 804 |
3 | 186, 153, 402 |
62, 51, 134 |
∴ So the GCF of the given numbers is 2 x 3 = 6
Factors of 372
List of positive integer factors of 372 that divides 372 without a remainder.
1,2,3,4,6,12,31,62,93,124,186,372
Factors of 306
List of positive integer factors of 306 that divides 306 without a remainder.
1,2,3,6,9,17,18,34,51,102,153,306
Factors of 804
List of positive integer factors of 804 that divides 804 without a remainder.
1,2,3,4,6,12,67,134,201,268,402,804
Greatest Common Factor
We found the factors 372,306,804 . The biggest common factor number is the GCF number.
So the greatest common factor 372,306,804 is 6.
Lets's calculate LCM of 99,43,702
3 | 99, 43, 702 |
3 | 33, 43, 234 |
11, 43, 78 |
∴ So the LCM of the given numbers is 3 x 3 x 11 x 43 x 78 = 332046
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 6/332046
Therefore, the GCF of Fractions 372/99,306/43,804/702 is 6/332046
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 99,43,702 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(99,43,702) = 1
common factors(in case of two or more numbers have common factors) = 9
GCF(99,43,702) x common factors =1 x 9 = 9
LCM(99,43,702) = ( 99 × 43 × 702 ) / 9
LCM(99,43,702) = 2988414 / 9
LCM(99,43,702) = 332046
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 372/99, 306/43, 804/702?
Answer: GCF of Numerators as per given numbers 372/99, 306/43, 804/702 is
GCF of Numerators i.e. for 372,306,804 is 6
LCM of denominators i.e. for 99,43,702 is 332046.
Thus, GCF of Fractions is 6/332046.Finally, GCF of Fractions for 372/99, 306/43, 804/702 is 6/332046.