Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 598/83,701/51,710/66
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 598,701,710
Greatest Common Factor of Numerators i.e. GCF of 598,701,710 is 1 .
LCM of Denominators means LCM of 83,51,66 as per the given fractions.
LCM of 83,51,66 is 93126 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 598,701,710
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 598
List of positive integer factors of 598 that divides 598 without a remainder.
1,2,13,23,26,46,299,598
Factors of 701
List of positive integer factors of 701 that divides 701 without a remainder.
1,701
Factors of 710
List of positive integer factors of 710 that divides 710 without a remainder.
1,2,5,10,71,142,355,710
Greatest Common Factor
We found the factors 598,701,710 . The biggest common factor number is the GCF number.
So the greatest common factor 598,701,710 is 1.
Lets's calculate LCM of 83,51,66
3 | 83, 51, 66 |
83, 17, 22 |
∴ So the LCM of the given numbers is 3 x 83 x 17 x 22 = 93126
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/93126
Therefore, the GCF of Fractions 598/83,701/51,710/66 is 1/93126
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 83,51,66 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(83,51,66) = 1
common factors(in case of two or more numbers have common factors) = 3
GCF(83,51,66) x common factors =1 x 3 = 3
LCM(83,51,66) = ( 83 × 51 × 66 ) / 3
LCM(83,51,66) = 279378 / 3
LCM(83,51,66) = 93126
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 598/83, 701/51, 710/66?
Answer: GCF of Numerators as per given numbers 598/83, 701/51, 710/66 is
GCF of Numerators i.e. for 598,701,710 is 1
LCM of denominators i.e. for 83,51,66 is 93126.
Thus, GCF of Fractions is 1/93126.Finally, GCF of Fractions for 598/83, 701/51, 710/66 is 1/93126.