Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 8525/183,1618/9894
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 8525,1618
Greatest Common Factor of Numerators i.e. GCF of 8525,1618 is 1 .
LCM of Denominators means LCM of 183,9894 as per the given fractions.
LCM of 183,9894 is 603534 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 8525,1618
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 8525
List of positive integer factors of 8525 that divides 8525 without a remainder.
1,5,11,25,31,55,155,275,341,775,1705,8525
Factors of 1618
List of positive integer factors of 1618 that divides 1618 without a remainder.
1,2,809,1618
Greatest Common Factor
We found the factors 8525,1618 . The biggest common factor number is the GCF number.
So the greatest common factor 8525,1618 is 1.
Lets's calculate LCM of 183,9894
3 | 183, 9894 |
61, 3298 |
∴ So the LCM of the given numbers is 3 x 61 x 3298 = 603534
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/603534
Therefore, the GCF of Fractions 8525/183,1618/9894 is 1/603534
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 183,9894 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(183,9894) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(183,9894) x common factors =3 x 1 = 3
LCM(183,9894) = ( 183 × 9894 ) / 3
LCM(183,9894) = 1810602 / 3
LCM(183,9894) = 603534
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 8525/183, 1618/9894?
Answer: GCF of Numerators as per given numbers 8525/183, 1618/9894 is
GCF of Numerators i.e. for 8525,1618 is 1
LCM of denominators i.e. for 183,9894 is 603534.
Thus, GCF of Fractions is 1/603534.Finally, GCF of Fractions for 8525/183, 1618/9894 is 1/603534.