Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 945/63,784/623
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 945,784
Greatest Common Factor of Numerators i.e. GCF of 945,784 is 7 .
LCM of Denominators means LCM of 63,623 as per the given fractions.
LCM of 63,623 is 5607 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 945,784
7 | 945, 784 |
135, 112 |
∴ So the GCF of the given numbers is 7 = 7
Factors of 945
List of positive integer factors of 945 that divides 945 without a remainder.
1,3,5,7,9,15,21,27,35,45,63,105,135,189,315,945
Factors of 784
List of positive integer factors of 784 that divides 784 without a remainder.
1,2,4,7,8,14,16,28,49,56,98,112,196,392,784
Greatest Common Factor
We found the factors 945,784 . The biggest common factor number is the GCF number.
So the greatest common factor 945,784 is 7.
Lets's calculate LCM of 63,623
7 | 63, 623 |
9, 89 |
∴ So the LCM of the given numbers is 7 x 9 x 89 = 5607
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 7/5607
Therefore, the GCF of Fractions 945/63,784/623 is 7/5607
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 63,623 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(63,623) = 7
common factors(in case of two or more numbers have common factors) = 1
GCF(63,623) x common factors =7 x 1 = 7
LCM(63,623) = ( 63 × 623 ) / 7
LCM(63,623) = 39249 / 7
LCM(63,623) = 5607
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 945/63, 784/623?
Answer: GCF of Numerators as per given numbers 945/63, 784/623 is
GCF of Numerators i.e. for 945,784 is 7
LCM of denominators i.e. for 63,623 is 5607.
Thus, GCF of Fractions is 7/5607.Finally, GCF of Fractions for 945/63, 784/623 is 7/5607.