Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 622/760,648/165
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 622,648
Greatest Common Factor of Numerators i.e. GCF of 622,648 is 2 .
LCM of Denominators means LCM of 760,165 as per the given fractions.
LCM of 760,165 is 25080 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 622,648
2 | 622, 648 |
311, 324 |
∴ So the GCF of the given numbers is 2 = 2
Factors of 622
List of positive integer factors of 622 that divides 622 without a remainder.
1,2,311,622
Factors of 648
List of positive integer factors of 648 that divides 648 without a remainder.
1,2,3,4,6,8,9,12,18,24,27,36,54,72,81,108,162,216,324,648
Greatest Common Factor
We found the factors 622,648 . The biggest common factor number is the GCF number.
So the greatest common factor 622,648 is 2.
Lets's calculate LCM of 760,165
5 | 760, 165 |
152, 33 |
∴ So the LCM of the given numbers is 5 x 152 x 33 = 25080
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/25080
Therefore, the GCF of Fractions 622/760,648/165 is 2/25080
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 760,165 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(760,165) = 5
common factors(in case of two or more numbers have common factors) = 1
GCF(760,165) x common factors =5 x 1 = 5
LCM(760,165) = ( 760 × 165 ) / 5
LCM(760,165) = 125400 / 5
LCM(760,165) = 25080
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 622/760, 648/165?
Answer: GCF of Numerators as per given numbers 622/760, 648/165 is
GCF of Numerators i.e. for 622,648 is 2
LCM of denominators i.e. for 760,165 is 25080.
Thus, GCF of Fractions is 2/25080.Finally, GCF of Fractions for 622/760, 648/165 is 2/25080.