Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 247/282,6165/8264
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 247,6165
Greatest Common Factor of Numerators i.e. GCF of 247,6165 is 1 .
LCM of Denominators means LCM of 282,8264 as per the given fractions.
LCM of 282,8264 is 1165224 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 247,6165
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 247
List of positive integer factors of 247 that divides 247 without a remainder.
1,13,19,247
Factors of 6165
List of positive integer factors of 6165 that divides 6165 without a remainder.
1,3,5,9,15,45,137,411,685,1233,2055,6165
Greatest Common Factor
We found the factors 247,6165 . The biggest common factor number is the GCF number.
So the greatest common factor 247,6165 is 1.
Lets's calculate LCM of 282,8264
2 | 282, 8264 |
141, 4132 |
∴ So the LCM of the given numbers is 2 x 141 x 4132 = 1165224
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1165224
Therefore, the GCF of Fractions 247/282,6165/8264 is 1/1165224
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 282,8264 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(282,8264) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(282,8264) x common factors =2 x 1 = 2
LCM(282,8264) = ( 282 × 8264 ) / 2
LCM(282,8264) = 2330448 / 2
LCM(282,8264) = 1165224
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 247/282, 6165/8264?
Answer: GCF of Numerators as per given numbers 247/282, 6165/8264 is
GCF of Numerators i.e. for 247,6165 is 1
LCM of denominators i.e. for 282,8264 is 1165224.
Thus, GCF of Fractions is 1/1165224.Finally, GCF of Fractions for 247/282, 6165/8264 is 1/1165224.