Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 976/55,133/66,295/553
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 976,133,295
Greatest Common Factor of Numerators i.e. GCF of 976,133,295 is 1 .
LCM of Denominators means LCM of 55,66,553 as per the given fractions.
LCM of 55,66,553 is 182490 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 976,133,295
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 976
List of positive integer factors of 976 that divides 976 without a remainder.
1,2,4,8,16,61,122,244,488,976
Factors of 133
List of positive integer factors of 133 that divides 133 without a remainder.
1,7,19,133
Factors of 295
List of positive integer factors of 295 that divides 295 without a remainder.
1,5,59,295
Greatest Common Factor
We found the factors 976,133,295 . The biggest common factor number is the GCF number.
So the greatest common factor 976,133,295 is 1.
Lets's calculate LCM of 55,66,553
11 | 55, 66, 553 |
5, 6, 553 |
∴ So the LCM of the given numbers is 11 x 5 x 6 x 553 = 182490
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/182490
Therefore, the GCF of Fractions 976/55,133/66,295/553 is 1/182490
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 55,66,553 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(55,66,553) = 1
common factors(in case of two or more numbers have common factors) = 11
GCF(55,66,553) x common factors =1 x 11 = 11
LCM(55,66,553) = ( 55 × 66 × 553 ) / 11
LCM(55,66,553) = 2007390 / 11
LCM(55,66,553) = 182490
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 976/55, 133/66, 295/553?
Answer: GCF of Numerators as per given numbers 976/55, 133/66, 295/553 is
GCF of Numerators i.e. for 976,133,295 is 1
LCM of denominators i.e. for 55,66,553 is 182490.
Thus, GCF of Fractions is 1/182490.Finally, GCF of Fractions for 976/55, 133/66, 295/553 is 1/182490.