Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 731/66,787/68,804/530
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 731,787,804
Greatest Common Factor of Numerators i.e. GCF of 731,787,804 is 1 .
LCM of Denominators means LCM of 66,68,530 as per the given fractions.
LCM of 66,68,530 is 594660 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 731,787,804
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 731
List of positive integer factors of 731 that divides 731 without a remainder.
1,17,43,731
Factors of 787
List of positive integer factors of 787 that divides 787 without a remainder.
1,787
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 731,787,804 . The biggest common factor number is the GCF number.
So the greatest common factor 731,787,804 is 1.
Lets's calculate LCM of 66,68,530
2 | 66, 68, 530 |
33, 34, 265 |
∴ So the LCM of the given numbers is 2 x 33 x 34 x 265 = 594660
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/594660
Therefore, the GCF of Fractions 731/66,787/68,804/530 is 1/594660
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 66,68,530 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(66,68,530) = 2
common factors(in case of two or more numbers have common factors) = 2
GCF(66,68,530) x common factors =2 x 2 = 4
LCM(66,68,530) = ( 66 × 68 × 530 ) / 4
LCM(66,68,530) = 2378640 / 4
LCM(66,68,530) = 594660
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 731/66, 787/68, 804/530?
Answer: GCF of Numerators as per given numbers 731/66, 787/68, 804/530 is
GCF of Numerators i.e. for 731,787,804 is 1
LCM of denominators i.e. for 66,68,530 is 594660.
Thus, GCF of Fractions is 1/594660.Finally, GCF of Fractions for 731/66, 787/68, 804/530 is 1/594660.