Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 964/242,265/865,302/399
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 964,265,302
Greatest Common Factor of Numerators i.e. GCF of 964,265,302 is 1 .
LCM of Denominators means LCM of 242,865,399 as per the given fractions.
LCM of 242,865,399 is 83522670 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 964,265,302
∴ 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 265
List of positive integer factors of 265 that divides 265 without a remainder.
1,5,53,265
Factors of 302
List of positive integer factors of 302 that divides 302 without a remainder.
1,2,151,302
Greatest Common Factor
We found the factors 964,265,302 . The biggest common factor number is the GCF number.
So the greatest common factor 964,265,302 is 1.
Lets's calculate LCM of 242,865,399
Given numbers has no common factors except 1. So, there LCM is their product i.e 83522670
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/83522670
Therefore, the GCF of Fractions 964/242,265/865,302/399 is 1/83522670
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 242,865,399 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(242,865,399) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(242,865,399) x common factors =1 x 1 = 1
LCM(242,865,399) = ( 242 × 865 × 399 ) / 1
LCM(242,865,399) = 83522670 / 1
LCM(242,865,399) = 83522670
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 964/242, 265/865, 302/399?
Answer: GCF of Numerators as per given numbers 964/242, 265/865, 302/399 is
GCF of Numerators i.e. for 964,265,302 is 1
LCM of denominators i.e. for 242,865,399 is 83522670.
Thus, GCF of Fractions is 1/83522670.Finally, GCF of Fractions for 964/242, 265/865, 302/399 is 1/83522670.