Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 7836/631,3278/9627
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 7836,3278
Greatest Common Factor of Numerators i.e. GCF of 7836,3278 is 2 .
LCM of Denominators means LCM of 631,9627 as per the given fractions.
LCM of 631,9627 is 6074637 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 7836,3278
2 | 7836, 3278 |
3918, 1639 |
∴ So the GCF of the given numbers is 2 = 2
Factors of 7836
List of positive integer factors of 7836 that divides 7836 without a remainder.
1,2,3,4,6,12,653,1306,1959,2612,3918,7836
Factors of 3278
List of positive integer factors of 3278 that divides 3278 without a remainder.
1,2,11,22,149,298,1639,3278
Greatest Common Factor
We found the factors 7836,3278 . The biggest common factor number is the GCF number.
So the greatest common factor 7836,3278 is 2.
Lets's calculate LCM of 631,9627
Given numbers has no common factors except 1. So, there LCM is their product i.e 6074637
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/6074637
Therefore, the GCF of Fractions 7836/631,3278/9627 is 2/6074637
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 631,9627 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(631,9627) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(631,9627) x common factors =1 x 1 = 1
LCM(631,9627) = ( 631 × 9627 ) / 1
LCM(631,9627) = 6074637 / 1
LCM(631,9627) = 6074637
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 7836/631, 3278/9627?
Answer: GCF of Numerators as per given numbers 7836/631, 3278/9627 is
GCF of Numerators i.e. for 7836,3278 is 2
LCM of denominators i.e. for 631,9627 is 6074637.
Thus, GCF of Fractions is 2/6074637.Finally, GCF of Fractions for 7836/631, 3278/9627 is 2/6074637.