Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 461/956,403/179,622/532
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 461,403,622
Greatest Common Factor of Numerators i.e. GCF of 461,403,622 is 1 .
LCM of Denominators means LCM of 956,179,532 as per the given fractions.
LCM of 956,179,532 is 22759492 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 461,403,622
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 461
List of positive integer factors of 461 that divides 461 without a remainder.
1,461
Factors of 403
List of positive integer factors of 403 that divides 403 without a remainder.
1,13,31,403
Factors of 622
List of positive integer factors of 622 that divides 622 without a remainder.
1,2,311,622
Greatest Common Factor
We found the factors 461,403,622 . The biggest common factor number is the GCF number.
So the greatest common factor 461,403,622 is 1.
Lets's calculate LCM of 956,179,532
2 | 956, 179, 532 |
2 | 478, 179, 266 |
239, 179, 133 |
∴ So the LCM of the given numbers is 2 x 2 x 239 x 179 x 133 = 22759492
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/22759492
Therefore, the GCF of Fractions 461/956,403/179,622/532 is 1/22759492
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 956,179,532 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(956,179,532) = 1
common factors(in case of two or more numbers have common factors) = 4
GCF(956,179,532) x common factors =1 x 4 = 4
LCM(956,179,532) = ( 956 × 179 × 532 ) / 4
LCM(956,179,532) = 91037968 / 4
LCM(956,179,532) = 22759492
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 461/956, 403/179, 622/532?
Answer: GCF of Numerators as per given numbers 461/956, 403/179, 622/532 is
GCF of Numerators i.e. for 461,403,622 is 1
LCM of denominators i.e. for 956,179,532 is 22759492.
Thus, GCF of Fractions is 1/22759492.Finally, GCF of Fractions for 461/956, 403/179, 622/532 is 1/22759492.