Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 986/190,2832/5300
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 986,2832
Greatest Common Factor of Numerators i.e. GCF of 986,2832 is 2 .
LCM of Denominators means LCM of 190,5300 as per the given fractions.
LCM of 190,5300 is 100700 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 986,2832
2 | 986, 2832 |
493, 1416 |
∴ So the GCF of the given numbers is 2 = 2
Factors of 986
List of positive integer factors of 986 that divides 986 without a remainder.
1,2,17,29,34,58,493,986
Factors of 2832
List of positive integer factors of 2832 that divides 2832 without a remainder.
1,2,3,4,6,8,12,16,24,48,59,118,177,236,354,472,708,944,1416,2832
Greatest Common Factor
We found the factors 986,2832 . The biggest common factor number is the GCF number.
So the greatest common factor 986,2832 is 2.
Lets's calculate LCM of 190,5300
2 | 190, 5300 |
5 | 95, 2650 |
19, 530 |
∴ So the LCM of the given numbers is 2 x 5 x 19 x 530 = 100700
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/100700
Therefore, the GCF of Fractions 986/190,2832/5300 is 2/100700
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 190,5300 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(190,5300) = 10
common factors(in case of two or more numbers have common factors) = 1
GCF(190,5300) x common factors =10 x 1 = 10
LCM(190,5300) = ( 190 × 5300 ) / 10
LCM(190,5300) = 1007000 / 10
LCM(190,5300) = 100700
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 986/190, 2832/5300?
Answer: GCF of Numerators as per given numbers 986/190, 2832/5300 is
GCF of Numerators i.e. for 986,2832 is 2
LCM of denominators i.e. for 190,5300 is 100700.
Thus, GCF of Fractions is 2/100700.Finally, GCF of Fractions for 986/190, 2832/5300 is 2/100700.