Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 4023/567,9552/6598
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 4023,9552
Greatest Common Factor of Numerators i.e. GCF of 4023,9552 is 3 .
LCM of Denominators means LCM of 567,6598 as per the given fractions.
LCM of 567,6598 is 3741066 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 4023,9552
3 | 4023, 9552 |
1341, 3184 |
∴ So the GCF of the given numbers is 3 = 3
Factors of 4023
List of positive integer factors of 4023 that divides 4023 without a remainder.
1,3,9,27,149,447,1341,4023
Factors of 9552
List of positive integer factors of 9552 that divides 9552 without a remainder.
1,2,3,4,6,8,12,16,24,48,199,398,597,796,1194,1592,2388,3184,4776,9552
Greatest Common Factor
We found the factors 4023,9552 . The biggest common factor number is the GCF number.
So the greatest common factor 4023,9552 is 3.
Lets's calculate LCM of 567,6598
Given numbers has no common factors except 1. So, there LCM is their product i.e 3741066
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/3741066
Therefore, the GCF of Fractions 4023/567,9552/6598 is 3/3741066
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 567,6598 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(567,6598) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(567,6598) x common factors =1 x 1 = 1
LCM(567,6598) = ( 567 × 6598 ) / 1
LCM(567,6598) = 3741066 / 1
LCM(567,6598) = 3741066
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 4023/567, 9552/6598?
Answer: GCF of Numerators as per given numbers 4023/567, 9552/6598 is
GCF of Numerators i.e. for 4023,9552 is 3
LCM of denominators i.e. for 567,6598 is 3741066.
Thus, GCF of Fractions is 3/3741066.Finally, GCF of Fractions for 4023/567, 9552/6598 is 3/3741066.