Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 38/62,25/22,98/72,12/636
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 38,25,98,12
Greatest Common Factor of Numerators i.e. GCF of 38,25,98,12 is 1 .
LCM of Denominators means LCM of 62,22,72,636 as per the given fractions.
LCM of 62,22,72,636 is 1301256 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 38,25,98,12
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 38
List of positive integer factors of 38 that divides 38 without a remainder.
1,2,19,38
Factors of 25
List of positive integer factors of 25 that divides 25 without a remainder.
1,5,25
Factors of 98
List of positive integer factors of 98 that divides 98 without a remainder.
1,2,7,14,49,98
Factors of 12
List of positive integer factors of 12 that divides 12 without a remainder.
1,2,3,4,6,12
Greatest Common Factor
We found the factors 38,25,98,12 . The biggest common factor number is the GCF number.
So the greatest common factor 38,25,98,12 is 1.
Lets's calculate LCM of 62,22,72,636
2 | 62, 22, 72, 636 |
2 | 31, 11, 36, 318 |
3 | 31, 11, 18, 159 |
31, 11, 6, 53 |
∴ So the LCM of the given numbers is 2 x 2 x 3 x 31 x 11 x 6 x 53 = 1301256
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1301256
Therefore, the GCF of Fractions 38/62,25/22,98/72,12/636 is 1/1301256
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 62,22,72,636 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(62,22,72,636) = 2
common factors(in case of two or more numbers have common factors) = 24
GCF(62,22,72,636) x common factors =2 x 24 = 48
LCM(62,22,72,636) = ( 62 × 22 × 72 × 636 ) / 48
LCM(62,22,72,636) = 62460288 / 48
LCM(62,22,72,636) = 1301256
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 38/62, 25/22, 98/72, 12/636?
Answer: GCF of Numerators as per given numbers 38/62, 25/22, 98/72, 12/636 is
GCF of Numerators i.e. for 38,25,98,12 is 1
LCM of denominators i.e. for 62,22,72,636 is 1301256.
Thus, GCF of Fractions is 1/1301256.Finally, GCF of Fractions for 38/62, 25/22, 98/72, 12/636 is 1/1301256.