Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 8578/94,7432/402
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 8578,7432
Greatest Common Factor of Numerators i.e. GCF of 8578,7432 is 2 .
LCM of Denominators means LCM of 94,402 as per the given fractions.
LCM of 94,402 is 18894 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 8578,7432
2 | 8578, 7432 |
4289, 3716 |
∴ So the GCF of the given numbers is 2 = 2
Factors of 8578
List of positive integer factors of 8578 that divides 8578 without a remainder.
1,2,4289,8578
Factors of 7432
List of positive integer factors of 7432 that divides 7432 without a remainder.
1,2,4,8,929,1858,3716,7432
Greatest Common Factor
We found the factors 8578,7432 . The biggest common factor number is the GCF number.
So the greatest common factor 8578,7432 is 2.
Lets's calculate LCM of 94,402
2 | 94, 402 |
47, 201 |
∴ So the LCM of the given numbers is 2 x 47 x 201 = 18894
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/18894
Therefore, the GCF of Fractions 8578/94,7432/402 is 2/18894
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 94,402 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(94,402) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(94,402) x common factors =2 x 1 = 2
LCM(94,402) = ( 94 × 402 ) / 2
LCM(94,402) = 37788 / 2
LCM(94,402) = 18894
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 8578/94, 7432/402?
Answer: GCF of Numerators as per given numbers 8578/94, 7432/402 is
GCF of Numerators i.e. for 8578,7432 is 2
LCM of denominators i.e. for 94,402 is 18894.
Thus, GCF of Fractions is 2/18894.Finally, GCF of Fractions for 8578/94, 7432/402 is 2/18894.