Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 64/127,560/623
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 64,560
Greatest Common Factor of Numerators i.e. GCF of 64,560 is 16 .
LCM of Denominators means LCM of 127,623 as per the given fractions.
LCM of 127,623 is 79121 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 64,560
2 | 64, 560 |
2 | 32, 280 |
2 | 16, 140 |
2 | 8, 70 |
4, 35 |
∴ So the GCF of the given numbers is 2 x 2 x 2 x 2 = 16
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 560
List of positive integer factors of 560 that divides 560 without a remainder.
1,2,4,5,7,8,10,14,16,20,28,35,40,56,70,80,112,140,280,560
Greatest Common Factor
We found the factors 64,560 . The biggest common factor number is the GCF number.
So the greatest common factor 64,560 is 16.
Lets's calculate LCM of 127,623
Given numbers has no common factors except 1. So, there LCM is their product i.e 79121
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 16/79121
Therefore, the GCF of Fractions 64/127,560/623 is 16/79121
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 127,623 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(127,623) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(127,623) x common factors =1 x 1 = 1
LCM(127,623) = ( 127 × 623 ) / 1
LCM(127,623) = 79121 / 1
LCM(127,623) = 79121
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 64/127, 560/623?
Answer: GCF of Numerators as per given numbers 64/127, 560/623 is
GCF of Numerators i.e. for 64,560 is 16
LCM of denominators i.e. for 127,623 is 79121.
Thus, GCF of Fractions is 16/79121.Finally, GCF of Fractions for 64/127, 560/623 is 16/79121.