Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 7088/282,9366/565
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 7088,9366
Greatest Common Factor of Numerators i.e. GCF of 7088,9366 is 2 .
LCM of Denominators means LCM of 282,565 as per the given fractions.
LCM of 282,565 is 159330 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 7088,9366
2 | 7088, 9366 |
3544, 4683 |
∴ So the GCF of the given numbers is 2 = 2
Factors of 7088
List of positive integer factors of 7088 that divides 7088 without a remainder.
1,2,4,8,16,443,886,1772,3544,7088
Factors of 9366
List of positive integer factors of 9366 that divides 9366 without a remainder.
1,2,3,6,7,14,21,42,223,446,669,1338,1561,3122,4683,9366
Greatest Common Factor
We found the factors 7088,9366 . The biggest common factor number is the GCF number.
So the greatest common factor 7088,9366 is 2.
Lets's calculate LCM of 282,565
Given numbers has no common factors except 1. So, there LCM is their product i.e 159330
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/159330
Therefore, the GCF of Fractions 7088/282,9366/565 is 2/159330
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 282,565 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(282,565) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(282,565) x common factors =1 x 1 = 1
LCM(282,565) = ( 282 × 565 ) / 1
LCM(282,565) = 159330 / 1
LCM(282,565) = 159330
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 7088/282, 9366/565?
Answer: GCF of Numerators as per given numbers 7088/282, 9366/565 is
GCF of Numerators i.e. for 7088,9366 is 2
LCM of denominators i.e. for 282,565 is 159330.
Thus, GCF of Fractions is 2/159330.Finally, GCF of Fractions for 7088/282, 9366/565 is 2/159330.