Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 964/91,545/35,774/53
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 964,545,774
Greatest Common Factor of Numerators i.e. GCF of 964,545,774 is 1 .
LCM of Denominators means LCM of 91,35,53 as per the given fractions.
LCM of 91,35,53 is 24115 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 964,545,774
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 964
List of positive integer factors of 964 that divides 964 without a remainder.
1,2,4,241,482,964
Factors of 545
List of positive integer factors of 545 that divides 545 without a remainder.
1,5,109,545
Factors of 774
List of positive integer factors of 774 that divides 774 without a remainder.
1,2,3,6,9,18,43,86,129,258,387,774
Greatest Common Factor
We found the factors 964,545,774 . The biggest common factor number is the GCF number.
So the greatest common factor 964,545,774 is 1.
Lets's calculate LCM of 91,35,53
7 | 91, 35, 53 |
13, 5, 53 |
∴ So the LCM of the given numbers is 7 x 13 x 5 x 53 = 24115
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/24115
Therefore, the GCF of Fractions 964/91,545/35,774/53 is 1/24115
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 91,35,53 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(91,35,53) = 1
common factors(in case of two or more numbers have common factors) = 7
GCF(91,35,53) x common factors =1 x 7 = 7
LCM(91,35,53) = ( 91 × 35 × 53 ) / 7
LCM(91,35,53) = 168805 / 7
LCM(91,35,53) = 24115
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 964/91, 545/35, 774/53?
Answer: GCF of Numerators as per given numbers 964/91, 545/35, 774/53 is
GCF of Numerators i.e. for 964,545,774 is 1
LCM of denominators i.e. for 91,35,53 is 24115.
Thus, GCF of Fractions is 1/24115.Finally, GCF of Fractions for 964/91, 545/35, 774/53 is 1/24115.