Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 399/256,533/982,544/304
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 399,533,544
Greatest Common Factor of Numerators i.e. GCF of 399,533,544 is 1 .
LCM of Denominators means LCM of 256,982,304 as per the given fractions.
LCM of 256,982,304 is 2388224 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 399,533,544
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 399
List of positive integer factors of 399 that divides 399 without a remainder.
1,3,7,19,21,57,133,399
Factors of 533
List of positive integer factors of 533 that divides 533 without a remainder.
1,13,41,533
Factors of 544
List of positive integer factors of 544 that divides 544 without a remainder.
1,2,4,8,16,17,32,34,68,136,272,544
Greatest Common Factor
We found the factors 399,533,544 . The biggest common factor number is the GCF number.
So the greatest common factor 399,533,544 is 1.
Lets's calculate LCM of 256,982,304
2 | 256, 982, 304 |
2 | 128, 491, 152 |
2 | 64, 491, 76 |
2 | 32, 491, 38 |
16, 491, 19 |
∴ So the LCM of the given numbers is 2 x 2 x 2 x 2 x 16 x 491 x 19 = 2388224
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2388224
Therefore, the GCF of Fractions 399/256,533/982,544/304 is 1/2388224
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 256,982,304 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(256,982,304) = 2
common factors(in case of two or more numbers have common factors) = 16
GCF(256,982,304) x common factors =2 x 16 = 32
LCM(256,982,304) = ( 256 × 982 × 304 ) / 32
LCM(256,982,304) = 76423168 / 32
LCM(256,982,304) = 2388224
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 399/256, 533/982, 544/304?
Answer: GCF of Numerators as per given numbers 399/256, 533/982, 544/304 is
GCF of Numerators i.e. for 399,533,544 is 1
LCM of denominators i.e. for 256,982,304 is 2388224.
Thus, GCF of Fractions is 1/2388224.Finally, GCF of Fractions for 399/256, 533/982, 544/304 is 1/2388224.