Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 3960/88,2026/426
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 3960,2026
Greatest Common Factor of Numerators i.e. GCF of 3960,2026 is 2 .
LCM of Denominators means LCM of 88,426 as per the given fractions.
LCM of 88,426 is 18744 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 3960,2026
2 | 3960, 2026 |
1980, 1013 |
∴ So the GCF of the given numbers is 2 = 2
Factors of 3960
List of positive integer factors of 3960 that divides 3960 without a remainder.
1,2,3,4,5,6,8,9,10,11,12,15,18,20,22,24,30,33,36,40,44,45,55,60,66,72,88,90,99,110,120,132,165,180,198,220,264,330,360,396,440,495,660,792,990,1320,1980,3960
Factors of 2026
List of positive integer factors of 2026 that divides 2026 without a remainder.
1,2,1013,2026
Greatest Common Factor
We found the factors 3960,2026 . The biggest common factor number is the GCF number.
So the greatest common factor 3960,2026 is 2.
Lets's calculate LCM of 88,426
2 | 88, 426 |
44, 213 |
∴ So the LCM of the given numbers is 2 x 44 x 213 = 18744
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/18744
Therefore, the GCF of Fractions 3960/88,2026/426 is 2/18744
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 88,426 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(88,426) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(88,426) x common factors =2 x 1 = 2
LCM(88,426) = ( 88 × 426 ) / 2
LCM(88,426) = 37488 / 2
LCM(88,426) = 18744
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 3960/88, 2026/426?
Answer: GCF of Numerators as per given numbers 3960/88, 2026/426 is
GCF of Numerators i.e. for 3960,2026 is 2
LCM of denominators i.e. for 88,426 is 18744.
Thus, GCF of Fractions is 2/18744.Finally, GCF of Fractions for 3960/88, 2026/426 is 2/18744.