Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 6182/62,1282/993
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 6182,1282
Greatest Common Factor of Numerators i.e. GCF of 6182,1282 is 2 .
LCM of Denominators means LCM of 62,993 as per the given fractions.
LCM of 62,993 is 61566 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 6182,1282
2 | 6182, 1282 |
3091, 641 |
∴ So the GCF of the given numbers is 2 = 2
Factors of 6182
List of positive integer factors of 6182 that divides 6182 without a remainder.
1,2,11,22,281,562,3091,6182
Factors of 1282
List of positive integer factors of 1282 that divides 1282 without a remainder.
1,2,641,1282
Greatest Common Factor
We found the factors 6182,1282 . The biggest common factor number is the GCF number.
So the greatest common factor 6182,1282 is 2.
Lets's calculate LCM of 62,993
Given numbers has no common factors except 1. So, there LCM is their product i.e 61566
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/61566
Therefore, the GCF of Fractions 6182/62,1282/993 is 2/61566
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 62,993 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(62,993) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(62,993) x common factors =1 x 1 = 1
LCM(62,993) = ( 62 × 993 ) / 1
LCM(62,993) = 61566 / 1
LCM(62,993) = 61566
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 6182/62, 1282/993?
Answer: GCF of Numerators as per given numbers 6182/62, 1282/993 is
GCF of Numerators i.e. for 6182,1282 is 2
LCM of denominators i.e. for 62,993 is 61566.
Thus, GCF of Fractions is 2/61566.Finally, GCF of Fractions for 6182/62, 1282/993 is 2/61566.