Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 62/66,294/39,913/248
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 62,294,913
Greatest Common Factor of Numerators i.e. GCF of 62,294,913 is 1 .
LCM of Denominators means LCM of 66,39,248 as per the given fractions.
LCM of 66,39,248 is 106392 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 62,294,913
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 62
List of positive integer factors of 62 that divides 62 without a remainder.
1,2,31,62
Factors of 294
List of positive integer factors of 294 that divides 294 without a remainder.
1,2,3,6,7,14,21,42,49,98,147,294
Factors of 913
List of positive integer factors of 913 that divides 913 without a remainder.
1,11,83,913
Greatest Common Factor
We found the factors 62,294,913 . The biggest common factor number is the GCF number.
So the greatest common factor 62,294,913 is 1.
Lets's calculate LCM of 66,39,248
2 | 66, 39, 248 |
3 | 33, 39, 124 |
11, 13, 124 |
∴ So the LCM of the given numbers is 2 x 3 x 11 x 13 x 124 = 106392
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/106392
Therefore, the GCF of Fractions 62/66,294/39,913/248 is 1/106392
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 66,39,248 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(66,39,248) = 1
common factors(in case of two or more numbers have common factors) = 6
GCF(66,39,248) x common factors =1 x 6 = 6
LCM(66,39,248) = ( 66 × 39 × 248 ) / 6
LCM(66,39,248) = 638352 / 6
LCM(66,39,248) = 106392
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 62/66, 294/39, 913/248?
Answer: GCF of Numerators as per given numbers 62/66, 294/39, 913/248 is
GCF of Numerators i.e. for 62,294,913 is 1
LCM of denominators i.e. for 66,39,248 is 106392.
Thus, GCF of Fractions is 1/106392.Finally, GCF of Fractions for 62/66, 294/39, 913/248 is 1/106392.