Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 9002/88,4824/859
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 9002,4824
Greatest Common Factor of Numerators i.e. GCF of 9002,4824 is 2 .
LCM of Denominators means LCM of 88,859 as per the given fractions.
LCM of 88,859 is 75592 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 9002,4824
2 | 9002, 4824 |
4501, 2412 |
∴ So the GCF of the given numbers is 2 = 2
Factors of 9002
List of positive integer factors of 9002 that divides 9002 without a remainder.
1,2,7,14,643,1286,4501,9002
Factors of 4824
List of positive integer factors of 4824 that divides 4824 without a remainder.
1,2,3,4,6,8,9,12,18,24,36,67,72,134,201,268,402,536,603,804,1206,1608,2412,4824
Greatest Common Factor
We found the factors 9002,4824 . The biggest common factor number is the GCF number.
So the greatest common factor 9002,4824 is 2.
Lets's calculate LCM of 88,859
Given numbers has no common factors except 1. So, there LCM is their product i.e 75592
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/75592
Therefore, the GCF of Fractions 9002/88,4824/859 is 2/75592
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 88,859 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(88,859) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(88,859) x common factors =1 x 1 = 1
LCM(88,859) = ( 88 × 859 ) / 1
LCM(88,859) = 75592 / 1
LCM(88,859) = 75592
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 9002/88, 4824/859?
Answer: GCF of Numerators as per given numbers 9002/88, 4824/859 is
GCF of Numerators i.e. for 9002,4824 is 2
LCM of denominators i.e. for 88,859 is 75592.
Thus, GCF of Fractions is 2/75592.Finally, GCF of Fractions for 9002/88, 4824/859 is 2/75592.