Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 808/87,538/72,237/34
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 808,538,237
Greatest Common Factor of Numerators i.e. GCF of 808,538,237 is 1 .
LCM of Denominators means LCM of 87,72,34 as per the given fractions.
LCM of 87,72,34 is 35496 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 808,538,237
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 808
List of positive integer factors of 808 that divides 808 without a remainder.
1,2,4,8,101,202,404,808
Factors of 538
List of positive integer factors of 538 that divides 538 without a remainder.
1,2,269,538
Factors of 237
List of positive integer factors of 237 that divides 237 without a remainder.
1,3,79,237
Greatest Common Factor
We found the factors 808,538,237 . The biggest common factor number is the GCF number.
So the greatest common factor 808,538,237 is 1.
Lets's calculate LCM of 87,72,34
2 | 87, 72, 34 |
3 | 87, 36, 17 |
29, 12, 17 |
∴ So the LCM of the given numbers is 2 x 3 x 29 x 12 x 17 = 35496
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/35496
Therefore, the GCF of Fractions 808/87,538/72,237/34 is 1/35496
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 87,72,34 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(87,72,34) = 1
common factors(in case of two or more numbers have common factors) = 6
GCF(87,72,34) x common factors =1 x 6 = 6
LCM(87,72,34) = ( 87 × 72 × 34 ) / 6
LCM(87,72,34) = 212976 / 6
LCM(87,72,34) = 35496
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 808/87, 538/72, 237/34?
Answer: GCF of Numerators as per given numbers 808/87, 538/72, 237/34 is
GCF of Numerators i.e. for 808,538,237 is 1
LCM of denominators i.e. for 87,72,34 is 35496.
Thus, GCF of Fractions is 1/35496.Finally, GCF of Fractions for 808/87, 538/72, 237/34 is 1/35496.