Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 402/932,413/306,572/981
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 402,413,572
Greatest Common Factor of Numerators i.e. GCF of 402,413,572 is 1 .
LCM of Denominators means LCM of 932,306,981 as per the given fractions.
LCM of 932,306,981 is 15542964 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 402,413,572
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 402
List of positive integer factors of 402 that divides 402 without a remainder.
1,2,3,6,67,134,201,402
Factors of 413
List of positive integer factors of 413 that divides 413 without a remainder.
1,7,59,413
Factors of 572
List of positive integer factors of 572 that divides 572 without a remainder.
1,2,4,11,13,22,26,44,52,143,286,572
Greatest Common Factor
We found the factors 402,413,572 . The biggest common factor number is the GCF number.
So the greatest common factor 402,413,572 is 1.
Lets's calculate LCM of 932,306,981
2 | 932, 306, 981 |
3 | 466, 153, 981 |
3 | 466, 51, 327 |
466, 17, 109 |
∴ So the LCM of the given numbers is 2 x 3 x 3 x 466 x 17 x 109 = 15542964
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/15542964
Therefore, the GCF of Fractions 402/932,413/306,572/981 is 1/15542964
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 932,306,981 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(932,306,981) = 1
common factors(in case of two or more numbers have common factors) = 18
GCF(932,306,981) x common factors =1 x 18 = 18
LCM(932,306,981) = ( 932 × 306 × 981 ) / 18
LCM(932,306,981) = 279773352 / 18
LCM(932,306,981) = 15542964
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 402/932, 413/306, 572/981?
Answer: GCF of Numerators as per given numbers 402/932, 413/306, 572/981 is
GCF of Numerators i.e. for 402,413,572 is 1
LCM of denominators i.e. for 932,306,981 is 15542964.
Thus, GCF of Fractions is 1/15542964.Finally, GCF of Fractions for 402/932, 413/306, 572/981 is 1/15542964.