Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 964/91,465/75,308/757
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 964,465,308
Greatest Common Factor of Numerators i.e. GCF of 964,465,308 is 1 .
LCM of Denominators means LCM of 91,75,757 as per the given fractions.
LCM of 91,75,757 is 5166525 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 964,465,308
∴ 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 465
List of positive integer factors of 465 that divides 465 without a remainder.
1,3,5,15,31,93,155,465
Factors of 308
List of positive integer factors of 308 that divides 308 without a remainder.
1,2,4,7,11,14,22,28,44,77,154,308
Greatest Common Factor
We found the factors 964,465,308 . The biggest common factor number is the GCF number.
So the greatest common factor 964,465,308 is 1.
Lets's calculate LCM of 91,75,757
Given numbers has no common factors except 1. So, there LCM is their product i.e 5166525
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/5166525
Therefore, the GCF of Fractions 964/91,465/75,308/757 is 1/5166525
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 91,75,757 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(91,75,757) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(91,75,757) x common factors =1 x 1 = 1
LCM(91,75,757) = ( 91 × 75 × 757 ) / 1
LCM(91,75,757) = 5166525 / 1
LCM(91,75,757) = 5166525
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, 465/75, 308/757?
Answer: GCF of Numerators as per given numbers 964/91, 465/75, 308/757 is
GCF of Numerators i.e. for 964,465,308 is 1
LCM of denominators i.e. for 91,75,757 is 5166525.
Thus, GCF of Fractions is 1/5166525.Finally, GCF of Fractions for 964/91, 465/75, 308/757 is 1/5166525.