Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 657/29,559/60,146/633
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 657,559,146
Greatest Common Factor of Numerators i.e. GCF of 657,559,146 is 1 .
LCM of Denominators means LCM of 29,60,633 as per the given fractions.
LCM of 29,60,633 is 367140 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 657,559,146
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 657
List of positive integer factors of 657 that divides 657 without a remainder.
1,3,9,73,219,657
Factors of 559
List of positive integer factors of 559 that divides 559 without a remainder.
1,13,43,559
Factors of 146
List of positive integer factors of 146 that divides 146 without a remainder.
1,2,73,146
Greatest Common Factor
We found the factors 657,559,146 . The biggest common factor number is the GCF number.
So the greatest common factor 657,559,146 is 1.
Lets's calculate LCM of 29,60,633
3 | 29, 60, 633 |
29, 20, 211 |
∴ So the LCM of the given numbers is 3 x 29 x 20 x 211 = 367140
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/367140
Therefore, the GCF of Fractions 657/29,559/60,146/633 is 1/367140
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 29,60,633 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(29,60,633) = 1
common factors(in case of two or more numbers have common factors) = 3
GCF(29,60,633) x common factors =1 x 3 = 3
LCM(29,60,633) = ( 29 × 60 × 633 ) / 3
LCM(29,60,633) = 1101420 / 3
LCM(29,60,633) = 367140
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 657/29, 559/60, 146/633?
Answer: GCF of Numerators as per given numbers 657/29, 559/60, 146/633 is
GCF of Numerators i.e. for 657,559,146 is 1
LCM of denominators i.e. for 29,60,633 is 367140.
Thus, GCF of Fractions is 1/367140.Finally, GCF of Fractions for 657/29, 559/60, 146/633 is 1/367140.