Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 963/12,244/62,527/108
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 963,244,527
Greatest Common Factor of Numerators i.e. GCF of 963,244,527 is 1 .
LCM of Denominators means LCM of 12,62,108 as per the given fractions.
LCM of 12,62,108 is 3348 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 963,244,527
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 963
List of positive integer factors of 963 that divides 963 without a remainder.
1,3,9,107,321,963
Factors of 244
List of positive integer factors of 244 that divides 244 without a remainder.
1,2,4,61,122,244
Factors of 527
List of positive integer factors of 527 that divides 527 without a remainder.
1,17,31,527
Greatest Common Factor
We found the factors 963,244,527 . The biggest common factor number is the GCF number.
So the greatest common factor 963,244,527 is 1.
Lets's calculate LCM of 12,62,108
2 | 12, 62, 108 |
2 | 6, 31, 54 |
3 | 3, 31, 27 |
1, 31, 9 |
∴ So the LCM of the given numbers is 2 x 2 x 3 x 1 x 31 x 9 = 3348
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/3348
Therefore, the GCF of Fractions 963/12,244/62,527/108 is 1/3348
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 12,62,108 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(12,62,108) = 2
common factors(in case of two or more numbers have common factors) = 12
GCF(12,62,108) x common factors =2 x 12 = 24
LCM(12,62,108) = ( 12 × 62 × 108 ) / 24
LCM(12,62,108) = 80352 / 24
LCM(12,62,108) = 3348
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 963/12, 244/62, 527/108?
Answer: GCF of Numerators as per given numbers 963/12, 244/62, 527/108 is
GCF of Numerators i.e. for 963,244,527 is 1
LCM of denominators i.e. for 12,62,108 is 3348.
Thus, GCF of Fractions is 1/3348.Finally, GCF of Fractions for 963/12, 244/62, 527/108 is 1/3348.