Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 49/18,64/99,19/91,532/98
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 49,64,19,532
Greatest Common Factor of Numerators i.e. GCF of 49,64,19,532 is 1 .
LCM of Denominators means LCM of 18,99,91,98 as per the given fractions.
LCM of 18,99,91,98 is 126126 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 49,64,19,532
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 49
List of positive integer factors of 49 that divides 49 without a remainder.
1,7,49
Factors of 64
List of positive integer factors of 64 that divides 64 without a remainder.
1,2,4,8,16,32,64
Factors of 19
List of positive integer factors of 19 that divides 19 without a remainder.
1,19
Factors of 532
List of positive integer factors of 532 that divides 532 without a remainder.
1,2,4,7,14,19,28,38,76,133,266,532
Greatest Common Factor
We found the factors 49,64,19,532 . The biggest common factor number is the GCF number.
So the greatest common factor 49,64,19,532 is 1.
Lets's calculate LCM of 18,99,91,98
2 | 18, 99, 91, 98 |
3 | 9, 99, 91, 49 |
3 | 3, 33, 91, 49 |
7 | 1, 11, 91, 49 |
1, 11, 13, 7 |
∴ So the LCM of the given numbers is 2 x 3 x 3 x 7 x 1 x 11 x 13 x 7 = 126126
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/126126
Therefore, the GCF of Fractions 49/18,64/99,19/91,532/98 is 1/126126
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 18,99,91,98 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(18,99,91,98) = 1
common factors(in case of two or more numbers have common factors) = 126
GCF(18,99,91,98) x common factors =1 x 126 = 126
LCM(18,99,91,98) = ( 18 × 99 × 91 × 98 ) / 126
LCM(18,99,91,98) = 15891876 / 126
LCM(18,99,91,98) = 126126
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 49/18, 64/99, 19/91, 532/98?
Answer: GCF of Numerators as per given numbers 49/18, 64/99, 19/91, 532/98 is
GCF of Numerators i.e. for 49,64,19,532 is 1
LCM of denominators i.e. for 18,99,91,98 is 126126.
Thus, GCF of Fractions is 1/126126.Finally, GCF of Fractions for 49/18, 64/99, 19/91, 532/98 is 1/126126.