Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 76/81,816/96,217/700
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 76,816,217
Greatest Common Factor of Numerators i.e. GCF of 76,816,217 is 1 .
LCM of Denominators means LCM of 81,96,700 as per the given fractions.
LCM of 81,96,700 is 453600 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 76,816,217
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 76
List of positive integer factors of 76 that divides 76 without a remainder.
1,2,4,19,38,76
Factors of 816
List of positive integer factors of 816 that divides 816 without a remainder.
1,2,3,4,6,8,12,16,17,24,34,48,51,68,102,136,204,272,408,816
Factors of 217
List of positive integer factors of 217 that divides 217 without a remainder.
1,7,31,217
Greatest Common Factor
We found the factors 76,816,217 . The biggest common factor number is the GCF number.
So the greatest common factor 76,816,217 is 1.
Lets's calculate LCM of 81,96,700
2 | 81, 96, 700 |
2 | 81, 48, 350 |
3 | 81, 24, 175 |
27, 8, 175 |
∴ So the LCM of the given numbers is 2 x 2 x 3 x 27 x 8 x 175 = 453600
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/453600
Therefore, the GCF of Fractions 76/81,816/96,217/700 is 1/453600
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 81,96,700 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(81,96,700) = 1
common factors(in case of two or more numbers have common factors) = 12
GCF(81,96,700) x common factors =1 x 12 = 12
LCM(81,96,700) = ( 81 × 96 × 700 ) / 12
LCM(81,96,700) = 5443200 / 12
LCM(81,96,700) = 453600
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 76/81, 816/96, 217/700?
Answer: GCF of Numerators as per given numbers 76/81, 816/96, 217/700 is
GCF of Numerators i.e. for 76,816,217 is 1
LCM of denominators i.e. for 81,96,700 is 453600.
Thus, GCF of Fractions is 1/453600.Finally, GCF of Fractions for 76/81, 816/96, 217/700 is 1/453600.