Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 2126/124,6162/1428
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 2126,6162
Greatest Common Factor of Numerators i.e. GCF of 2126,6162 is 2 .
LCM of Denominators means LCM of 124,1428 as per the given fractions.
LCM of 124,1428 is 44268 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 2126,6162
2 | 2126, 6162 |
1063, 3081 |
∴ So the GCF of the given numbers is 2 = 2
Factors of 2126
List of positive integer factors of 2126 that divides 2126 without a remainder.
1,2,1063,2126
Factors of 6162
List of positive integer factors of 6162 that divides 6162 without a remainder.
1,2,3,6,13,26,39,78,79,158,237,474,1027,2054,3081,6162
Greatest Common Factor
We found the factors 2126,6162 . The biggest common factor number is the GCF number.
So the greatest common factor 2126,6162 is 2.
Lets's calculate LCM of 124,1428
2 | 124, 1428 |
2 | 62, 714 |
31, 357 |
∴ So the LCM of the given numbers is 2 x 2 x 31 x 357 = 44268
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/44268
Therefore, the GCF of Fractions 2126/124,6162/1428 is 2/44268
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 124,1428 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(124,1428) = 4
common factors(in case of two or more numbers have common factors) = 1
GCF(124,1428) x common factors =4 x 1 = 4
LCM(124,1428) = ( 124 × 1428 ) / 4
LCM(124,1428) = 177072 / 4
LCM(124,1428) = 44268
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 2126/124, 6162/1428?
Answer: GCF of Numerators as per given numbers 2126/124, 6162/1428 is
GCF of Numerators i.e. for 2126,6162 is 2
LCM of denominators i.e. for 124,1428 is 44268.
Thus, GCF of Fractions is 2/44268.Finally, GCF of Fractions for 2126/124, 6162/1428 is 2/44268.