Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 7621/58,2708/596
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 7621,2708
Greatest Common Factor of Numerators i.e. GCF of 7621,2708 is 1 .
LCM of Denominators means LCM of 58,596 as per the given fractions.
LCM of 58,596 is 17284 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 7621,2708
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 7621
List of positive integer factors of 7621 that divides 7621 without a remainder.
1,7621
Factors of 2708
List of positive integer factors of 2708 that divides 2708 without a remainder.
1,2,4,677,1354,2708
Greatest Common Factor
We found the factors 7621,2708 . The biggest common factor number is the GCF number.
So the greatest common factor 7621,2708 is 1.
Lets's calculate LCM of 58,596
2 | 58, 596 |
29, 298 |
∴ So the LCM of the given numbers is 2 x 29 x 298 = 17284
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/17284
Therefore, the GCF of Fractions 7621/58,2708/596 is 1/17284
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 58,596 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(58,596) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(58,596) x common factors =2 x 1 = 2
LCM(58,596) = ( 58 × 596 ) / 2
LCM(58,596) = 34568 / 2
LCM(58,596) = 17284
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 7621/58, 2708/596?
Answer: GCF of Numerators as per given numbers 7621/58, 2708/596 is
GCF of Numerators i.e. for 7621,2708 is 1
LCM of denominators i.e. for 58,596 is 17284.
Thus, GCF of Fractions is 1/17284.Finally, GCF of Fractions for 7621/58, 2708/596 is 1/17284.