Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 93/35,44/30,531/577
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 93,44,531
Greatest Common Factor of Numerators i.e. GCF of 93,44,531 is 1 .
LCM of Denominators means LCM of 35,30,577 as per the given fractions.
LCM of 35,30,577 is 121170 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 93,44,531
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 93
List of positive integer factors of 93 that divides 93 without a remainder.
1,3,31,93
Factors of 44
List of positive integer factors of 44 that divides 44 without a remainder.
1,2,4,11,22,44
Factors of 531
List of positive integer factors of 531 that divides 531 without a remainder.
1,3,9,59,177,531
Greatest Common Factor
We found the factors 93,44,531 . The biggest common factor number is the GCF number.
So the greatest common factor 93,44,531 is 1.
Lets's calculate LCM of 35,30,577
5 | 35, 30, 577 |
7, 6, 577 |
∴ So the LCM of the given numbers is 5 x 7 x 6 x 577 = 121170
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/121170
Therefore, the GCF of Fractions 93/35,44/30,531/577 is 1/121170
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 35,30,577 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(35,30,577) = 1
common factors(in case of two or more numbers have common factors) = 5
GCF(35,30,577) x common factors =1 x 5 = 5
LCM(35,30,577) = ( 35 × 30 × 577 ) / 5
LCM(35,30,577) = 605850 / 5
LCM(35,30,577) = 121170
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 93/35, 44/30, 531/577?
Answer: GCF of Numerators as per given numbers 93/35, 44/30, 531/577 is
GCF of Numerators i.e. for 93,44,531 is 1
LCM of denominators i.e. for 35,30,577 is 121170.
Thus, GCF of Fractions is 1/121170.Finally, GCF of Fractions for 93/35, 44/30, 531/577 is 1/121170.