Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 1/48,99/24,36/341,418/121
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 1,99,36,418
Greatest Common Factor of Numerators i.e. GCF of 1,99,36,418 is 1 .
LCM of Denominators means LCM of 48,24,341,121 as per the given fractions.
LCM of 48,24,341,121 is 180048 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 1,99,36,418
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 1
List of positive integer factors of 1 that divides 1 without a remainder.
1
Factors of 99
List of positive integer factors of 99 that divides 99 without a remainder.
1,3,9,11,33,99
Factors of 36
List of positive integer factors of 36 that divides 36 without a remainder.
1,2,3,4,6,9,12,18,36
Factors of 418
List of positive integer factors of 418 that divides 418 without a remainder.
1,2,11,19,22,38,209,418
Greatest Common Factor
We found the factors 1,99,36,418 . The biggest common factor number is the GCF number.
So the greatest common factor 1,99,36,418 is 1.
Lets's calculate LCM of 48,24,341,121
2 | 48, 24, 341, 121 |
2 | 24, 12, 341, 121 |
2 | 6, 12, 341, 121 |
3 | 3, 6, 341, 121 |
11 | 1, 2, 341, 121 |
1, 2, 31, 11 |
∴ So the LCM of the given numbers is 2 x 2 x 2 x 3 x 11 x 1 x 2 x 31 x 11 = 180048
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/180048
Therefore, the GCF of Fractions 1/48,99/24,36/341,418/121 is 1/180048
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 48,24,341,121 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(48,24,341,121) = 1
common factors(in case of two or more numbers have common factors) = 264
GCF(48,24,341,121) x common factors =1 x 264 = 264
LCM(48,24,341,121) = ( 48 × 24 × 341 × 121 ) / 264
LCM(48,24,341,121) = 47532672 / 264
LCM(48,24,341,121) = 180048
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 1/48, 99/24, 36/341, 418/121?
Answer: GCF of Numerators as per given numbers 1/48, 99/24, 36/341, 418/121 is
GCF of Numerators i.e. for 1,99,36,418 is 1
LCM of denominators i.e. for 48,24,341,121 is 180048.
Thus, GCF of Fractions is 1/180048.Finally, GCF of Fractions for 1/48, 99/24, 36/341, 418/121 is 1/180048.