Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 491/58,738/48,432/290
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 491,738,432
Greatest Common Factor of Numerators i.e. GCF of 491,738,432 is 1 .
LCM of Denominators means LCM of 58,48,290 as per the given fractions.
LCM of 58,48,290 is 6960 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 491,738,432
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 491
List of positive integer factors of 491 that divides 491 without a remainder.
1,491
Factors of 738
List of positive integer factors of 738 that divides 738 without a remainder.
1,2,3,6,9,18,41,82,123,246,369,738
Factors of 432
List of positive integer factors of 432 that divides 432 without a remainder.
1,2,3,4,6,8,9,12,16,18,24,27,36,48,54,72,108,144,216,432
Greatest Common Factor
We found the factors 491,738,432 . The biggest common factor number is the GCF number.
So the greatest common factor 491,738,432 is 1.
Lets's calculate LCM of 58,48,290
2 | 58, 48, 290 |
29 | 29, 24, 145 |
1, 24, 5 |
∴ So the LCM of the given numbers is 2 x 29 x 1 x 24 x 5 = 6960
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/6960
Therefore, the GCF of Fractions 491/58,738/48,432/290 is 1/6960
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 58,48,290 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(58,48,290) = 2
common factors(in case of two or more numbers have common factors) = 58
GCF(58,48,290) x common factors =2 x 58 = 116
LCM(58,48,290) = ( 58 × 48 × 290 ) / 116
LCM(58,48,290) = 807360 / 116
LCM(58,48,290) = 6960
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 491/58, 738/48, 432/290?
Answer: GCF of Numerators as per given numbers 491/58, 738/48, 432/290 is
GCF of Numerators i.e. for 491,738,432 is 1
LCM of denominators i.e. for 58,48,290 is 6960.
Thus, GCF of Fractions is 1/6960.Finally, GCF of Fractions for 491/58, 738/48, 432/290 is 1/6960.