Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 128/80,524/1495
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 128,524
Greatest Common Factor of Numerators i.e. GCF of 128,524 is 4 .
LCM of Denominators means LCM of 80,1495 as per the given fractions.
LCM of 80,1495 is 23920 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 128,524
2 | 128, 524 |
2 | 64, 262 |
32, 131 |
∴ So the GCF of the given numbers is 2 x 2 = 4
Factors of 128
List of positive integer factors of 128 that divides 128 without a remainder.
1,2,4,8,16,32,64,128
Factors of 524
List of positive integer factors of 524 that divides 524 without a remainder.
1,2,4,131,262,524
Greatest Common Factor
We found the factors 128,524 . The biggest common factor number is the GCF number.
So the greatest common factor 128,524 is 4.
Lets's calculate LCM of 80,1495
5 | 80, 1495 |
16, 299 |
∴ So the LCM of the given numbers is 5 x 16 x 299 = 23920
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/23920
Therefore, the GCF of Fractions 128/80,524/1495 is 4/23920
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 80,1495 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(80,1495) = 5
common factors(in case of two or more numbers have common factors) = 1
GCF(80,1495) x common factors =5 x 1 = 5
LCM(80,1495) = ( 80 × 1495 ) / 5
LCM(80,1495) = 119600 / 5
LCM(80,1495) = 23920
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 128/80, 524/1495?
Answer: GCF of Numerators as per given numbers 128/80, 524/1495 is
GCF of Numerators i.e. for 128,524 is 4
LCM of denominators i.e. for 80,1495 is 23920.
Thus, GCF of Fractions is 4/23920.Finally, GCF of Fractions for 128/80, 524/1495 is 4/23920.