Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 87/29,62/72,680/68
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 87,62,680
Greatest Common Factor of Numerators i.e. GCF of 87,62,680 is 1 .
LCM of Denominators means LCM of 29,72,68 as per the given fractions.
LCM of 29,72,68 is 35496 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 87,62,680
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 87
List of positive integer factors of 87 that divides 87 without a remainder.
1,3,29,87
Factors of 62
List of positive integer factors of 62 that divides 62 without a remainder.
1,2,31,62
Factors of 680
List of positive integer factors of 680 that divides 680 without a remainder.
1,2,4,5,8,10,17,20,34,40,68,85,136,170,340,680
Greatest Common Factor
We found the factors 87,62,680 . The biggest common factor number is the GCF number.
So the greatest common factor 87,62,680 is 1.
Lets's calculate LCM of 29,72,68
2 | 29, 72, 68 |
2 | 29, 36, 34 |
29, 18, 17 |
∴ So the LCM of the given numbers is 2 x 2 x 29 x 18 x 17 = 35496
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/35496
Therefore, the GCF of Fractions 87/29,62/72,680/68 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 29,72,68 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(29,72,68) = 1
common factors(in case of two or more numbers have common factors) = 4
GCF(29,72,68) x common factors =1 x 4 = 4
LCM(29,72,68) = ( 29 × 72 × 68 ) / 4
LCM(29,72,68) = 141984 / 4
LCM(29,72,68) = 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 87/29, 62/72, 680/68?
Answer: GCF of Numerators as per given numbers 87/29, 62/72, 680/68 is
GCF of Numerators i.e. for 87,62,680 is 1
LCM of denominators i.e. for 29,72,68 is 35496.
Thus, GCF of Fractions is 1/35496.Finally, GCF of Fractions for 87/29, 62/72, 680/68 is 1/35496.