Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 5/53,5/76,3/53,99/292
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 5,5,3,99
Greatest Common Factor of Numerators i.e. GCF of 5,5,3,99 is 1 .
LCM of Denominators means LCM of 53,76,53,292 as per the given fractions.
LCM of 53,76,53,292 is 294044 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 5,5,3,99
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 5
List of positive integer factors of 5 that divides 5 without a remainder.
1,5
Factors of 5
List of positive integer factors of 5 that divides 5 without a remainder.
1,5
Factors of 3
List of positive integer factors of 3 that divides 3 without a remainder.
1,3
Factors of 99
List of positive integer factors of 99 that divides 99 without a remainder.
1,3,9,11,33,99
Greatest Common Factor
We found the factors 5,5,3,99 . The biggest common factor number is the GCF number.
So the greatest common factor 5,5,3,99 is 1.
Lets's calculate LCM of 53,76,53,292
2 | 53, 76, 53, 292 |
2 | 53, 38, 53, 146 |
53 | 53, 19, 53, 73 |
1, 19, 1, 73 |
∴ So the LCM of the given numbers is 2 x 2 x 53 x 1 x 19 x 1 x 73 = 294044
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/294044
Therefore, the GCF of Fractions 5/53,5/76,3/53,99/292 is 1/294044
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 53,76,53,292 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(53,76,53,292) = 1
common factors(in case of two or more numbers have common factors) = 212
GCF(53,76,53,292) x common factors =1 x 212 = 212
LCM(53,76,53,292) = ( 53 × 76 × 53 × 292 ) / 212
LCM(53,76,53,292) = 62337328 / 212
LCM(53,76,53,292) = 294044
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 5/53, 5/76, 3/53, 99/292?
Answer: GCF of Numerators as per given numbers 5/53, 5/76, 3/53, 99/292 is
GCF of Numerators i.e. for 5,5,3,99 is 1
LCM of denominators i.e. for 53,76,53,292 is 294044.
Thus, GCF of Fractions is 1/294044.Finally, GCF of Fractions for 5/53, 5/76, 3/53, 99/292 is 1/294044.