Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 3/51,36/97,88/734,591/717
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 3,36,88,591
Greatest Common Factor of Numerators i.e. GCF of 3,36,88,591 is 1 .
LCM of Denominators means LCM of 51,97,734,717 as per the given fractions.
LCM of 51,97,734,717 is 867832422 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 3,36,88,591
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 3
List of positive integer factors of 3 that divides 3 without a remainder.
1,3
Factors of 36
List of positive integer factors of 36 that divides 36 without a remainder.
1,2,3,4,6,9,12,18,36
Factors of 88
List of positive integer factors of 88 that divides 88 without a remainder.
1,2,4,8,11,22,44,88
Factors of 591
List of positive integer factors of 591 that divides 591 without a remainder.
1,3,197,591
Greatest Common Factor
We found the factors 3,36,88,591 . The biggest common factor number is the GCF number.
So the greatest common factor 3,36,88,591 is 1.
Lets's calculate LCM of 51,97,734,717
3 | 51, 97, 734, 717 |
17, 97, 734, 239 |
∴ So the LCM of the given numbers is 3 x 17 x 97 x 734 x 239 = 867832422
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/867832422
Therefore, the GCF of Fractions 3/51,36/97,88/734,591/717 is 1/867832422
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 51,97,734,717 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(51,97,734,717) = 1
common factors(in case of two or more numbers have common factors) = 3
GCF(51,97,734,717) x common factors =1 x 3 = 3
LCM(51,97,734,717) = ( 51 × 97 × 734 × 717 ) / 3
LCM(51,97,734,717) = 2603497266 / 3
LCM(51,97,734,717) = 867832422
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 3/51, 36/97, 88/734, 591/717?
Answer: GCF of Numerators as per given numbers 3/51, 36/97, 88/734, 591/717 is
GCF of Numerators i.e. for 3,36,88,591 is 1
LCM of denominators i.e. for 51,97,734,717 is 867832422.
Thus, GCF of Fractions is 1/867832422.Finally, GCF of Fractions for 3/51, 36/97, 88/734, 591/717 is 1/867832422.