Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 399/88,973/4852
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 399,973
Greatest Common Factor of Numerators i.e. GCF of 399,973 is 7 .
LCM of Denominators means LCM of 88,4852 as per the given fractions.
LCM of 88,4852 is 106744 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 399,973
7 | 399, 973 |
57, 139 |
∴ So the GCF of the given numbers is 7 = 7
Factors of 399
List of positive integer factors of 399 that divides 399 without a remainder.
1,3,7,19,21,57,133,399
Factors of 973
List of positive integer factors of 973 that divides 973 without a remainder.
1,7,139,973
Greatest Common Factor
We found the factors 399,973 . The biggest common factor number is the GCF number.
So the greatest common factor 399,973 is 7.
Lets's calculate LCM of 88,4852
2 | 88, 4852 |
2 | 44, 2426 |
22, 1213 |
∴ So the LCM of the given numbers is 2 x 2 x 22 x 1213 = 106744
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 7/106744
Therefore, the GCF of Fractions 399/88,973/4852 is 7/106744
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 88,4852 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(88,4852) = 4
common factors(in case of two or more numbers have common factors) = 1
GCF(88,4852) x common factors =4 x 1 = 4
LCM(88,4852) = ( 88 × 4852 ) / 4
LCM(88,4852) = 426976 / 4
LCM(88,4852) = 106744
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 399/88, 973/4852?
Answer: GCF of Numerators as per given numbers 399/88, 973/4852 is
GCF of Numerators i.e. for 399,973 is 7
LCM of denominators i.e. for 88,4852 is 106744.
Thus, GCF of Fractions is 7/106744.Finally, GCF of Fractions for 399/88, 973/4852 is 7/106744.