Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 1629/836,5350/3926
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 1629,5350
Greatest Common Factor of Numerators i.e. GCF of 1629,5350 is 1 .
LCM of Denominators means LCM of 836,3926 as per the given fractions.
LCM of 836,3926 is 1641068 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 1629,5350
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 1629
List of positive integer factors of 1629 that divides 1629 without a remainder.
1,3,9,181,543,1629
Factors of 5350
List of positive integer factors of 5350 that divides 5350 without a remainder.
1,2,5,10,25,50,107,214,535,1070,2675,5350
Greatest Common Factor
We found the factors 1629,5350 . The biggest common factor number is the GCF number.
So the greatest common factor 1629,5350 is 1.
Lets's calculate LCM of 836,3926
2 | 836, 3926 |
418, 1963 |
∴ So the LCM of the given numbers is 2 x 418 x 1963 = 1641068
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1641068
Therefore, the GCF of Fractions 1629/836,5350/3926 is 1/1641068
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 836,3926 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(836,3926) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(836,3926) x common factors =2 x 1 = 2
LCM(836,3926) = ( 836 × 3926 ) / 2
LCM(836,3926) = 3282136 / 2
LCM(836,3926) = 1641068
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 1629/836, 5350/3926?
Answer: GCF of Numerators as per given numbers 1629/836, 5350/3926 is
GCF of Numerators i.e. for 1629,5350 is 1
LCM of denominators i.e. for 836,3926 is 1641068.
Thus, GCF of Fractions is 1/1641068.Finally, GCF of Fractions for 1629/836, 5350/3926 is 1/1641068.