Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 29/85,98/12,26/17,81/412
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 29,98,26,81
Greatest Common Factor of Numerators i.e. GCF of 29,98,26,81 is 1 .
LCM of Denominators means LCM of 85,12,17,412 as per the given fractions.
LCM of 85,12,17,412 is 105060 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 29,98,26,81
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 29
List of positive integer factors of 29 that divides 29 without a remainder.
1,29
Factors of 98
List of positive integer factors of 98 that divides 98 without a remainder.
1,2,7,14,49,98
Factors of 26
List of positive integer factors of 26 that divides 26 without a remainder.
1,2,13,26
Factors of 81
List of positive integer factors of 81 that divides 81 without a remainder.
1,3,9,27,81
Greatest Common Factor
We found the factors 29,98,26,81 . The biggest common factor number is the GCF number.
So the greatest common factor 29,98,26,81 is 1.
Lets's calculate LCM of 85,12,17,412
2 | 85, 12, 17, 412 |
2 | 85, 6, 17, 206 |
17 | 85, 3, 17, 103 |
5, 3, 1, 103 |
∴ So the LCM of the given numbers is 2 x 2 x 17 x 5 x 3 x 1 x 103 = 105060
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/105060
Therefore, the GCF of Fractions 29/85,98/12,26/17,81/412 is 1/105060
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 85,12,17,412 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(85,12,17,412) = 1
common factors(in case of two or more numbers have common factors) = 68
GCF(85,12,17,412) x common factors =1 x 68 = 68
LCM(85,12,17,412) = ( 85 × 12 × 17 × 412 ) / 68
LCM(85,12,17,412) = 7144080 / 68
LCM(85,12,17,412) = 105060
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 29/85, 98/12, 26/17, 81/412?
Answer: GCF of Numerators as per given numbers 29/85, 98/12, 26/17, 81/412 is
GCF of Numerators i.e. for 29,98,26,81 is 1
LCM of denominators i.e. for 85,12,17,412 is 105060.
Thus, GCF of Fractions is 1/105060.Finally, GCF of Fractions for 29/85, 98/12, 26/17, 81/412 is 1/105060.