Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 2095/666,2495/297
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 2095,2495
Greatest Common Factor of Numerators i.e. GCF of 2095,2495 is 5 .
LCM of Denominators means LCM of 666,297 as per the given fractions.
LCM of 666,297 is 21978 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 2095,2495
5 | 2095, 2495 |
419, 499 |
∴ So the GCF of the given numbers is 5 = 5
Factors of 2095
List of positive integer factors of 2095 that divides 2095 without a remainder.
1,5,419,2095
Factors of 2495
List of positive integer factors of 2495 that divides 2495 without a remainder.
1,5,499,2495
Greatest Common Factor
We found the factors 2095,2495 . The biggest common factor number is the GCF number.
So the greatest common factor 2095,2495 is 5.
Lets's calculate LCM of 666,297
3 | 666, 297 |
3 | 222, 99 |
74, 33 |
∴ So the LCM of the given numbers is 3 x 3 x 74 x 33 = 21978
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 5/21978
Therefore, the GCF of Fractions 2095/666,2495/297 is 5/21978
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 666,297 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(666,297) = 9
common factors(in case of two or more numbers have common factors) = 1
GCF(666,297) x common factors =9 x 1 = 9
LCM(666,297) = ( 666 × 297 ) / 9
LCM(666,297) = 197802 / 9
LCM(666,297) = 21978
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 2095/666, 2495/297?
Answer: GCF of Numerators as per given numbers 2095/666, 2495/297 is
GCF of Numerators i.e. for 2095,2495 is 5
LCM of denominators i.e. for 666,297 is 21978.
Thus, GCF of Fractions is 5/21978.Finally, GCF of Fractions for 2095/666, 2495/297 is 5/21978.