Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 906/82,492/43,924/669
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 906,492,924
Greatest Common Factor of Numerators i.e. GCF of 906,492,924 is 6 .
LCM of Denominators means LCM of 82,43,669 as per the given fractions.
LCM of 82,43,669 is 2358894 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 906,492,924
2 | 906, 492, 924 |
3 | 453, 246, 462 |
151, 82, 154 |
∴ So the GCF of the given numbers is 2 x 3 = 6
Factors of 906
List of positive integer factors of 906 that divides 906 without a remainder.
1,2,3,6,151,302,453,906
Factors of 492
List of positive integer factors of 492 that divides 492 without a remainder.
1,2,3,4,6,12,41,82,123,164,246,492
Factors of 924
List of positive integer factors of 924 that divides 924 without a remainder.
1,2,3,4,6,7,11,12,14,21,22,28,33,42,44,66,77,84,132,154,231,308,462,924
Greatest Common Factor
We found the factors 906,492,924 . The biggest common factor number is the GCF number.
So the greatest common factor 906,492,924 is 6.
Lets's calculate LCM of 82,43,669
Given numbers has no common factors except 1. So, there LCM is their product i.e 2358894
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 6/2358894
Therefore, the GCF of Fractions 906/82,492/43,924/669 is 6/2358894
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 82,43,669 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(82,43,669) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(82,43,669) x common factors =1 x 1 = 1
LCM(82,43,669) = ( 82 × 43 × 669 ) / 1
LCM(82,43,669) = 2358894 / 1
LCM(82,43,669) = 2358894
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 906/82, 492/43, 924/669?
Answer: GCF of Numerators as per given numbers 906/82, 492/43, 924/669 is
GCF of Numerators i.e. for 906,492,924 is 6
LCM of denominators i.e. for 82,43,669 is 2358894.
Thus, GCF of Fractions is 6/2358894.Finally, GCF of Fractions for 906/82, 492/43, 924/669 is 6/2358894.