Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 7469/58,7256/774
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 7469,7256
Greatest Common Factor of Numerators i.e. GCF of 7469,7256 is 1 .
LCM of Denominators means LCM of 58,774 as per the given fractions.
LCM of 58,774 is 22446 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 7469,7256
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 7469
List of positive integer factors of 7469 that divides 7469 without a remainder.
1,7,11,77,97,679,1067,7469
Factors of 7256
List of positive integer factors of 7256 that divides 7256 without a remainder.
1,2,4,8,907,1814,3628,7256
Greatest Common Factor
We found the factors 7469,7256 . The biggest common factor number is the GCF number.
So the greatest common factor 7469,7256 is 1.
Lets's calculate LCM of 58,774
2 | 58, 774 |
29, 387 |
∴ So the LCM of the given numbers is 2 x 29 x 387 = 22446
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/22446
Therefore, the GCF of Fractions 7469/58,7256/774 is 1/22446
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 58,774 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(58,774) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(58,774) x common factors =2 x 1 = 2
LCM(58,774) = ( 58 × 774 ) / 2
LCM(58,774) = 44892 / 2
LCM(58,774) = 22446
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 7469/58, 7256/774?
Answer: GCF of Numerators as per given numbers 7469/58, 7256/774 is
GCF of Numerators i.e. for 7469,7256 is 1
LCM of denominators i.e. for 58,774 is 22446.
Thus, GCF of Fractions is 1/22446.Finally, GCF of Fractions for 7469/58, 7256/774 is 1/22446.