Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 14/58,40/66,988/682
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 14,40,988
Greatest Common Factor of Numerators i.e. GCF of 14,40,988 is 2 .
LCM of Denominators means LCM of 58,66,682 as per the given fractions.
LCM of 58,66,682 is 59334 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 14,40,988
2 | 14, 40, 988 |
7, 20, 494 |
∴ So the GCF of the given numbers is 2 = 2
Factors of 14
List of positive integer factors of 14 that divides 14 without a remainder.
1,2,7,14
Factors of 40
List of positive integer factors of 40 that divides 40 without a remainder.
1,2,4,5,8,10,20,40
Factors of 988
List of positive integer factors of 988 that divides 988 without a remainder.
1,2,4,13,19,26,38,52,76,247,494,988
Greatest Common Factor
We found the factors 14,40,988 . The biggest common factor number is the GCF number.
So the greatest common factor 14,40,988 is 2.
Lets's calculate LCM of 58,66,682
2 | 58, 66, 682 |
11 | 29, 33, 341 |
29, 3, 31 |
∴ So the LCM of the given numbers is 2 x 11 x 29 x 3 x 31 = 59334
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/59334
Therefore, the GCF of Fractions 14/58,40/66,988/682 is 2/59334
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 58,66,682 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(58,66,682) = 2
common factors(in case of two or more numbers have common factors) = 22
GCF(58,66,682) x common factors =2 x 22 = 44
LCM(58,66,682) = ( 58 × 66 × 682 ) / 44
LCM(58,66,682) = 2610696 / 44
LCM(58,66,682) = 59334
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 14/58, 40/66, 988/682?
Answer: GCF of Numerators as per given numbers 14/58, 40/66, 988/682 is
GCF of Numerators i.e. for 14,40,988 is 2
LCM of denominators i.e. for 58,66,682 is 59334.
Thus, GCF of Fractions is 2/59334.Finally, GCF of Fractions for 14/58, 40/66, 988/682 is 2/59334.