Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 648/69,788/7229
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 648,788
Greatest Common Factor of Numerators i.e. GCF of 648,788 is 4 .
LCM of Denominators means LCM of 69,7229 as per the given fractions.
LCM of 69,7229 is 498801 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 648,788
2 | 648, 788 |
2 | 324, 394 |
162, 197 |
∴ So the GCF of the given numbers is 2 x 2 = 4
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
Factors of 788
List of positive integer factors of 788 that divides 788 without a remainder.
1,2,4,197,394,788
Greatest Common Factor
We found the factors 648,788 . The biggest common factor number is the GCF number.
So the greatest common factor 648,788 is 4.
Lets's calculate LCM of 69,7229
Given numbers has no common factors except 1. So, there LCM is their product i.e 498801
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/498801
Therefore, the GCF of Fractions 648/69,788/7229 is 4/498801
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 69,7229 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(69,7229) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(69,7229) x common factors =1 x 1 = 1
LCM(69,7229) = ( 69 × 7229 ) / 1
LCM(69,7229) = 498801 / 1
LCM(69,7229) = 498801
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 648/69, 788/7229?
Answer: GCF of Numerators as per given numbers 648/69, 788/7229 is
GCF of Numerators i.e. for 648,788 is 4
LCM of denominators i.e. for 69,7229 is 498801.
Thus, GCF of Fractions is 4/498801.Finally, GCF of Fractions for 648/69, 788/7229 is 4/498801.