Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 3654/58,5214/246
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 3654,5214
Greatest Common Factor of Numerators i.e. GCF of 3654,5214 is 6 .
LCM of Denominators means LCM of 58,246 as per the given fractions.
LCM of 58,246 is 7134 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 3654,5214
2 | 3654, 5214 |
3 | 1827, 2607 |
609, 869 |
∴ So the GCF of the given numbers is 2 x 3 = 6
Factors of 3654
List of positive integer factors of 3654 that divides 3654 without a remainder.
1,2,3,6,7,9,14,18,21,29,42,58,63,87,126,174,203,261,406,522,609,1218,1827,3654
Factors of 5214
List of positive integer factors of 5214 that divides 5214 without a remainder.
1,2,3,6,11,22,33,66,79,158,237,474,869,1738,2607,5214
Greatest Common Factor
We found the factors 3654,5214 . The biggest common factor number is the GCF number.
So the greatest common factor 3654,5214 is 6.
Lets's calculate LCM of 58,246
2 | 58, 246 |
29, 123 |
∴ So the LCM of the given numbers is 2 x 29 x 123 = 7134
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 6/7134
Therefore, the GCF of Fractions 3654/58,5214/246 is 6/7134
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 58,246 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(58,246) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(58,246) x common factors =2 x 1 = 2
LCM(58,246) = ( 58 × 246 ) / 2
LCM(58,246) = 14268 / 2
LCM(58,246) = 7134
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 3654/58, 5214/246?
Answer: GCF of Numerators as per given numbers 3654/58, 5214/246 is
GCF of Numerators i.e. for 3654,5214 is 6
LCM of denominators i.e. for 58,246 is 7134.
Thus, GCF of Fractions is 6/7134.Finally, GCF of Fractions for 3654/58, 5214/246 is 6/7134.