Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 472/117,896/727,958/347
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 472,896,958
Greatest Common Factor of Numerators i.e. GCF of 472,896,958 is 2 .
LCM of Denominators means LCM of 117,727,347 as per the given fractions.
LCM of 117,727,347 is 29515473 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 472,896,958
2 | 472, 896, 958 |
236, 448, 479 |
∴ So the GCF of the given numbers is 2 = 2
Factors of 472
List of positive integer factors of 472 that divides 472 without a remainder.
1,2,4,8,59,118,236,472
Factors of 896
List of positive integer factors of 896 that divides 896 without a remainder.
1,2,4,7,8,14,16,28,32,56,64,112,128,224,448,896
Factors of 958
List of positive integer factors of 958 that divides 958 without a remainder.
1,2,479,958
Greatest Common Factor
We found the factors 472,896,958 . The biggest common factor number is the GCF number.
So the greatest common factor 472,896,958 is 2.
Lets's calculate LCM of 117,727,347
Given numbers has no common factors except 1. So, there LCM is their product i.e 29515473
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/29515473
Therefore, the GCF of Fractions 472/117,896/727,958/347 is 2/29515473
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 117,727,347 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(117,727,347) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(117,727,347) x common factors =1 x 1 = 1
LCM(117,727,347) = ( 117 × 727 × 347 ) / 1
LCM(117,727,347) = 29515473 / 1
LCM(117,727,347) = 29515473
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 472/117, 896/727, 958/347?
Answer: GCF of Numerators as per given numbers 472/117, 896/727, 958/347 is
GCF of Numerators i.e. for 472,896,958 is 2
LCM of denominators i.e. for 117,727,347 is 29515473.
Thus, GCF of Fractions is 2/29515473.Finally, GCF of Fractions for 472/117, 896/727, 958/347 is 2/29515473.