Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 4728/51,7552/153
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 4728,7552
Greatest Common Factor of Numerators i.e. GCF of 4728,7552 is 8 .
LCM of Denominators means LCM of 51,153 as per the given fractions.
LCM of 51,153 is 153 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 4728,7552
2 | 4728, 7552 |
2 | 2364, 3776 |
2 | 1182, 1888 |
591, 944 |
∴ So the GCF of the given numbers is 2 x 2 x 2 = 8
Factors of 4728
List of positive integer factors of 4728 that divides 4728 without a remainder.
1,2,3,4,6,8,12,24,197,394,591,788,1182,1576,2364,4728
Factors of 7552
List of positive integer factors of 7552 that divides 7552 without a remainder.
1,2,4,8,16,32,59,64,118,128,236,472,944,1888,3776,7552
Greatest Common Factor
We found the factors 4728,7552 . The biggest common factor number is the GCF number.
So the greatest common factor 4728,7552 is 8.
Lets's calculate LCM of 51,153
3 | 51, 153 |
17 | 17, 51 |
1, 3 |
∴ So the LCM of the given numbers is 3 x 17 x 1 x 3 = 153
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 8/153
Therefore, the GCF of Fractions 4728/51,7552/153 is 8/153
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 51,153 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(51,153) = 51
common factors(in case of two or more numbers have common factors) = 1
GCF(51,153) x common factors =51 x 1 = 51
LCM(51,153) = ( 51 × 153 ) / 51
LCM(51,153) = 7803 / 51
LCM(51,153) = 153
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 4728/51, 7552/153?
Answer: GCF of Numerators as per given numbers 4728/51, 7552/153 is
GCF of Numerators i.e. for 4728,7552 is 8
LCM of denominators i.e. for 51,153 is 153.
Thus, GCF of Fractions is 8/153.Finally, GCF of Fractions for 4728/51, 7552/153 is 8/153.