Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 983/956,502/963,379/627
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 983,502,379
Greatest Common Factor of Numerators i.e. GCF of 983,502,379 is 1 .
LCM of Denominators means LCM of 956,963,627 as per the given fractions.
LCM of 956,963,627 is 192411252 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 983,502,379
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 983
List of positive integer factors of 983 that divides 983 without a remainder.
1,983
Factors of 502
List of positive integer factors of 502 that divides 502 without a remainder.
1,2,251,502
Factors of 379
List of positive integer factors of 379 that divides 379 without a remainder.
1,379
Greatest Common Factor
We found the factors 983,502,379 . The biggest common factor number is the GCF number.
So the greatest common factor 983,502,379 is 1.
Lets's calculate LCM of 956,963,627
3 | 956, 963, 627 |
956, 321, 209 |
∴ So the LCM of the given numbers is 3 x 956 x 321 x 209 = 192411252
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/192411252
Therefore, the GCF of Fractions 983/956,502/963,379/627 is 1/192411252
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 956,963,627 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(956,963,627) = 1
common factors(in case of two or more numbers have common factors) = 3
GCF(956,963,627) x common factors =1 x 3 = 3
LCM(956,963,627) = ( 956 × 963 × 627 ) / 3
LCM(956,963,627) = 577233756 / 3
LCM(956,963,627) = 192411252
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 983/956, 502/963, 379/627?
Answer: GCF of Numerators as per given numbers 983/956, 502/963, 379/627 is
GCF of Numerators i.e. for 983,502,379 is 1
LCM of denominators i.e. for 956,963,627 is 192411252.
Thus, GCF of Fractions is 1/192411252.Finally, GCF of Fractions for 983/956, 502/963, 379/627 is 1/192411252.