Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 8496/165,1253/201
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 8496,1253
Greatest Common Factor of Numerators i.e. GCF of 8496,1253 is 1 .
LCM of Denominators means LCM of 165,201 as per the given fractions.
LCM of 165,201 is 11055 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 8496,1253
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 8496
List of positive integer factors of 8496 that divides 8496 without a remainder.
1,2,3,4,6,8,9,12,16,18,24,36,48,59,72,118,144,177,236,354,472,531,708,944,1062,1416,2124,2832,4248,8496
Factors of 1253
List of positive integer factors of 1253 that divides 1253 without a remainder.
1,7,179,1253
Greatest Common Factor
We found the factors 8496,1253 . The biggest common factor number is the GCF number.
So the greatest common factor 8496,1253 is 1.
Lets's calculate LCM of 165,201
3 | 165, 201 |
55, 67 |
∴ So the LCM of the given numbers is 3 x 55 x 67 = 11055
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/11055
Therefore, the GCF of Fractions 8496/165,1253/201 is 1/11055
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 165,201 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(165,201) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(165,201) x common factors =3 x 1 = 3
LCM(165,201) = ( 165 × 201 ) / 3
LCM(165,201) = 33165 / 3
LCM(165,201) = 11055
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 8496/165, 1253/201?
Answer: GCF of Numerators as per given numbers 8496/165, 1253/201 is
GCF of Numerators i.e. for 8496,1253 is 1
LCM of denominators i.e. for 165,201 is 11055.
Thus, GCF of Fractions is 1/11055.Finally, GCF of Fractions for 8496/165, 1253/201 is 1/11055.