Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 2324/807,7288/1036
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 2324,7288
Greatest Common Factor of Numerators i.e. GCF of 2324,7288 is 4 .
LCM of Denominators means LCM of 807,1036 as per the given fractions.
LCM of 807,1036 is 836052 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 2324,7288
2 | 2324, 7288 |
2 | 1162, 3644 |
581, 1822 |
∴ So the GCF of the given numbers is 2 x 2 = 4
Factors of 2324
List of positive integer factors of 2324 that divides 2324 without a remainder.
1,2,4,7,14,28,83,166,332,581,1162,2324
Factors of 7288
List of positive integer factors of 7288 that divides 7288 without a remainder.
1,2,4,8,911,1822,3644,7288
Greatest Common Factor
We found the factors 2324,7288 . The biggest common factor number is the GCF number.
So the greatest common factor 2324,7288 is 4.
Lets's calculate LCM of 807,1036
Given numbers has no common factors except 1. So, there LCM is their product i.e 836052
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/836052
Therefore, the GCF of Fractions 2324/807,7288/1036 is 4/836052
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 807,1036 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(807,1036) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(807,1036) x common factors =1 x 1 = 1
LCM(807,1036) = ( 807 × 1036 ) / 1
LCM(807,1036) = 836052 / 1
LCM(807,1036) = 836052
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 2324/807, 7288/1036?
Answer: GCF of Numerators as per given numbers 2324/807, 7288/1036 is
GCF of Numerators i.e. for 2324,7288 is 4
LCM of denominators i.e. for 807,1036 is 836052.
Thus, GCF of Fractions is 4/836052.Finally, GCF of Fractions for 2324/807, 7288/1036 is 4/836052.