Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 3572/111,2548/5996
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 3572,2548
Greatest Common Factor of Numerators i.e. GCF of 3572,2548 is 4 .
LCM of Denominators means LCM of 111,5996 as per the given fractions.
LCM of 111,5996 is 665556 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 3572,2548
2 | 3572, 2548 |
2 | 1786, 1274 |
893, 637 |
∴ So the GCF of the given numbers is 2 x 2 = 4
Factors of 3572
List of positive integer factors of 3572 that divides 3572 without a remainder.
1,2,4,19,38,47,76,94,188,893,1786,3572
Factors of 2548
List of positive integer factors of 2548 that divides 2548 without a remainder.
1,2,4,7,13,14,26,28,49,52,91,98,182,196,364,637,1274,2548
Greatest Common Factor
We found the factors 3572,2548 . The biggest common factor number is the GCF number.
So the greatest common factor 3572,2548 is 4.
Lets's calculate LCM of 111,5996
Given numbers has no common factors except 1. So, there LCM is their product i.e 665556
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/665556
Therefore, the GCF of Fractions 3572/111,2548/5996 is 4/665556
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 111,5996 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(111,5996) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(111,5996) x common factors =1 x 1 = 1
LCM(111,5996) = ( 111 × 5996 ) / 1
LCM(111,5996) = 665556 / 1
LCM(111,5996) = 665556
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 3572/111, 2548/5996?
Answer: GCF of Numerators as per given numbers 3572/111, 2548/5996 is
GCF of Numerators i.e. for 3572,2548 is 4
LCM of denominators i.e. for 111,5996 is 665556.
Thus, GCF of Fractions is 4/665556.Finally, GCF of Fractions for 3572/111, 2548/5996 is 4/665556.