Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 703/575,234/213,733/414
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 703,234,733
Greatest Common Factor of Numerators i.e. GCF of 703,234,733 is 1 .
LCM of Denominators means LCM of 575,213,414 as per the given fractions.
LCM of 575,213,414 is 734850 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 703,234,733
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 703
List of positive integer factors of 703 that divides 703 without a remainder.
1,19,37,703
Factors of 234
List of positive integer factors of 234 that divides 234 without a remainder.
1,2,3,6,9,13,18,26,39,78,117,234
Factors of 733
List of positive integer factors of 733 that divides 733 without a remainder.
1,733
Greatest Common Factor
We found the factors 703,234,733 . The biggest common factor number is the GCF number.
So the greatest common factor 703,234,733 is 1.
Lets's calculate LCM of 575,213,414
3 | 575, 213, 414 |
23 | 575, 71, 138 |
25, 71, 6 |
∴ So the LCM of the given numbers is 3 x 23 x 25 x 71 x 6 = 734850
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/734850
Therefore, the GCF of Fractions 703/575,234/213,733/414 is 1/734850
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 575,213,414 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(575,213,414) = 1
common factors(in case of two or more numbers have common factors) = 69
GCF(575,213,414) x common factors =1 x 69 = 69
LCM(575,213,414) = ( 575 × 213 × 414 ) / 69
LCM(575,213,414) = 50704650 / 69
LCM(575,213,414) = 734850
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 703/575, 234/213, 733/414?
Answer: GCF of Numerators as per given numbers 703/575, 234/213, 733/414 is
GCF of Numerators i.e. for 703,234,733 is 1
LCM of denominators i.e. for 575,213,414 is 734850.
Thus, GCF of Fractions is 1/734850.Finally, GCF of Fractions for 703/575, 234/213, 733/414 is 1/734850.