Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 9828/639,2414/5999
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 9828,2414
Greatest Common Factor of Numerators i.e. GCF of 9828,2414 is 2 .
LCM of Denominators means LCM of 639,5999 as per the given fractions.
LCM of 639,5999 is 3833361 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 9828,2414
2 | 9828, 2414 |
4914, 1207 |
∴ So the GCF of the given numbers is 2 = 2
Factors of 9828
List of positive integer factors of 9828 that divides 9828 without a remainder.
1,2,3,4,6,7,9,12,13,14,18,21,26,27,28,36,39,42,52,54,63,78,84,91,108,117,126,156,182,189,234,252,273,351,364,378,468,546,702,756,819,1092,1404,1638,2457,3276,4914,9828
Factors of 2414
List of positive integer factors of 2414 that divides 2414 without a remainder.
1,2,17,34,71,142,1207,2414
Greatest Common Factor
We found the factors 9828,2414 . The biggest common factor number is the GCF number.
So the greatest common factor 9828,2414 is 2.
Lets's calculate LCM of 639,5999
Given numbers has no common factors except 1. So, there LCM is their product i.e 3833361
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/3833361
Therefore, the GCF of Fractions 9828/639,2414/5999 is 2/3833361
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 639,5999 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(639,5999) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(639,5999) x common factors =1 x 1 = 1
LCM(639,5999) = ( 639 × 5999 ) / 1
LCM(639,5999) = 3833361 / 1
LCM(639,5999) = 3833361
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 9828/639, 2414/5999?
Answer: GCF of Numerators as per given numbers 9828/639, 2414/5999 is
GCF of Numerators i.e. for 9828,2414 is 2
LCM of denominators i.e. for 639,5999 is 3833361.
Thus, GCF of Fractions is 2/3833361.Finally, GCF of Fractions for 9828/639, 2414/5999 is 2/3833361.