Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 9492/836,6439/4656
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 9492,6439
Greatest Common Factor of Numerators i.e. GCF of 9492,6439 is 1 .
LCM of Denominators means LCM of 836,4656 as per the given fractions.
LCM of 836,4656 is 973104 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 9492,6439
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 9492
List of positive integer factors of 9492 that divides 9492 without a remainder.
1,2,3,4,6,7,12,14,21,28,42,84,113,226,339,452,678,791,1356,1582,2373,3164,4746,9492
Factors of 6439
List of positive integer factors of 6439 that divides 6439 without a remainder.
1,47,137,6439
Greatest Common Factor
We found the factors 9492,6439 . The biggest common factor number is the GCF number.
So the greatest common factor 9492,6439 is 1.
Lets's calculate LCM of 836,4656
2 | 836, 4656 |
2 | 418, 2328 |
209, 1164 |
∴ So the LCM of the given numbers is 2 x 2 x 209 x 1164 = 973104
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/973104
Therefore, the GCF of Fractions 9492/836,6439/4656 is 1/973104
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 836,4656 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(836,4656) = 4
common factors(in case of two or more numbers have common factors) = 1
GCF(836,4656) x common factors =4 x 1 = 4
LCM(836,4656) = ( 836 × 4656 ) / 4
LCM(836,4656) = 3892416 / 4
LCM(836,4656) = 973104
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 9492/836, 6439/4656?
Answer: GCF of Numerators as per given numbers 9492/836, 6439/4656 is
GCF of Numerators i.e. for 9492,6439 is 1
LCM of denominators i.e. for 836,4656 is 973104.
Thus, GCF of Fractions is 1/973104.Finally, GCF of Fractions for 9492/836, 6439/4656 is 1/973104.