Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 420/724,936/922
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 420,936
Greatest Common Factor of Numerators i.e. GCF of 420,936 is 12 .
LCM of Denominators means LCM of 724,922 as per the given fractions.
LCM of 724,922 is 333764 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 420,936
2 | 420, 936 |
2 | 210, 468 |
3 | 105, 234 |
35, 78 |
∴ So the GCF of the given numbers is 2 x 2 x 3 = 12
Factors of 420
List of positive integer factors of 420 that divides 420 without a remainder.
1,2,3,4,5,6,7,10,12,14,15,20,21,28,30,35,42,60,70,84,105,140,210,420
Factors of 936
List of positive integer factors of 936 that divides 936 without a remainder.
1,2,3,4,6,8,9,12,13,18,24,26,36,39,52,72,78,104,117,156,234,312,468,936
Greatest Common Factor
We found the factors 420,936 . The biggest common factor number is the GCF number.
So the greatest common factor 420,936 is 12.
Lets's calculate LCM of 724,922
2 | 724, 922 |
362, 461 |
∴ So the LCM of the given numbers is 2 x 362 x 461 = 333764
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 12/333764
Therefore, the GCF of Fractions 420/724,936/922 is 12/333764
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 724,922 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(724,922) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(724,922) x common factors =2 x 1 = 2
LCM(724,922) = ( 724 × 922 ) / 2
LCM(724,922) = 667528 / 2
LCM(724,922) = 333764
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 420/724, 936/922?
Answer: GCF of Numerators as per given numbers 420/724, 936/922 is
GCF of Numerators i.e. for 420,936 is 12
LCM of denominators i.e. for 724,922 is 333764.
Thus, GCF of Fractions is 12/333764.Finally, GCF of Fractions for 420/724, 936/922 is 12/333764.