Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 3095/262,5497/4348
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 3095,5497
Greatest Common Factor of Numerators i.e. GCF of 3095,5497 is 1 .
LCM of Denominators means LCM of 262,4348 as per the given fractions.
LCM of 262,4348 is 569588 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 3095,5497
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 3095
List of positive integer factors of 3095 that divides 3095 without a remainder.
1,5,619,3095
Factors of 5497
List of positive integer factors of 5497 that divides 5497 without a remainder.
1,23,239,5497
Greatest Common Factor
We found the factors 3095,5497 . The biggest common factor number is the GCF number.
So the greatest common factor 3095,5497 is 1.
Lets's calculate LCM of 262,4348
2 | 262, 4348 |
131, 2174 |
∴ So the LCM of the given numbers is 2 x 131 x 2174 = 569588
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/569588
Therefore, the GCF of Fractions 3095/262,5497/4348 is 1/569588
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 262,4348 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(262,4348) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(262,4348) x common factors =2 x 1 = 2
LCM(262,4348) = ( 262 × 4348 ) / 2
LCM(262,4348) = 1139176 / 2
LCM(262,4348) = 569588
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 3095/262, 5497/4348?
Answer: GCF of Numerators as per given numbers 3095/262, 5497/4348 is
GCF of Numerators i.e. for 3095,5497 is 1
LCM of denominators i.e. for 262,4348 is 569588.
Thus, GCF of Fractions is 1/569588.Finally, GCF of Fractions for 3095/262, 5497/4348 is 1/569588.