Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 3661/400,5264/1020
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 3661,5264
Greatest Common Factor of Numerators i.e. GCF of 3661,5264 is 7 .
LCM of Denominators means LCM of 400,1020 as per the given fractions.
LCM of 400,1020 is 20400 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 3661,5264
7 | 3661, 5264 |
523, 752 |
∴ So the GCF of the given numbers is 7 = 7
Factors of 3661
List of positive integer factors of 3661 that divides 3661 without a remainder.
1,7,523,3661
Factors of 5264
List of positive integer factors of 5264 that divides 5264 without a remainder.
1,2,4,7,8,14,16,28,47,56,94,112,188,329,376,658,752,1316,2632,5264
Greatest Common Factor
We found the factors 3661,5264 . The biggest common factor number is the GCF number.
So the greatest common factor 3661,5264 is 7.
Lets's calculate LCM of 400,1020
2 | 400, 1020 |
2 | 200, 510 |
5 | 100, 255 |
20, 51 |
∴ So the LCM of the given numbers is 2 x 2 x 5 x 20 x 51 = 20400
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 7/20400
Therefore, the GCF of Fractions 3661/400,5264/1020 is 7/20400
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 400,1020 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(400,1020) = 20
common factors(in case of two or more numbers have common factors) = 1
GCF(400,1020) x common factors =20 x 1 = 20
LCM(400,1020) = ( 400 × 1020 ) / 20
LCM(400,1020) = 408000 / 20
LCM(400,1020) = 20400
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 3661/400, 5264/1020?
Answer: GCF of Numerators as per given numbers 3661/400, 5264/1020 is
GCF of Numerators i.e. for 3661,5264 is 7
LCM of denominators i.e. for 400,1020 is 20400.
Thus, GCF of Fractions is 7/20400.Finally, GCF of Fractions for 3661/400, 5264/1020 is 7/20400.