Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 3/60,854/44,357/58
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 3,854,357
Greatest Common Factor of Numerators i.e. GCF of 3,854,357 is 1 .
LCM of Denominators means LCM of 60,44,58 as per the given fractions.
LCM of 60,44,58 is 19140 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 3,854,357
∴ 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 854
List of positive integer factors of 854 that divides 854 without a remainder.
1,2,7,14,61,122,427,854
Factors of 357
List of positive integer factors of 357 that divides 357 without a remainder.
1,3,7,17,21,51,119,357
Greatest Common Factor
We found the factors 3,854,357 . The biggest common factor number is the GCF number.
So the greatest common factor 3,854,357 is 1.
Lets's calculate LCM of 60,44,58
2 | 60, 44, 58 |
2 | 30, 22, 29 |
15, 11, 29 |
∴ So the LCM of the given numbers is 2 x 2 x 15 x 11 x 29 = 19140
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/19140
Therefore, the GCF of Fractions 3/60,854/44,357/58 is 1/19140
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 60,44,58 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(60,44,58) = 2
common factors(in case of two or more numbers have common factors) = 4
GCF(60,44,58) x common factors =2 x 4 = 8
LCM(60,44,58) = ( 60 × 44 × 58 ) / 8
LCM(60,44,58) = 153120 / 8
LCM(60,44,58) = 19140
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 3/60, 854/44, 357/58?
Answer: GCF of Numerators as per given numbers 3/60, 854/44, 357/58 is
GCF of Numerators i.e. for 3,854,357 is 1
LCM of denominators i.e. for 60,44,58 is 19140.
Thus, GCF of Fractions is 1/19140.Finally, GCF of Fractions for 3/60, 854/44, 357/58 is 1/19140.