Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 8135/639,6440/262
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 8135,6440
Greatest Common Factor of Numerators i.e. GCF of 8135,6440 is 5 .
LCM of Denominators means LCM of 639,262 as per the given fractions.
LCM of 639,262 is 167418 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 8135,6440
5 | 8135, 6440 |
1627, 1288 |
∴ So the GCF of the given numbers is 5 = 5
Factors of 8135
List of positive integer factors of 8135 that divides 8135 without a remainder.
1,5,1627,8135
Factors of 6440
List of positive integer factors of 6440 that divides 6440 without a remainder.
1,2,4,5,7,8,10,14,20,23,28,35,40,46,56,70,92,115,140,161,184,230,280,322,460,644,805,920,1288,1610,3220,6440
Greatest Common Factor
We found the factors 8135,6440 . The biggest common factor number is the GCF number.
So the greatest common factor 8135,6440 is 5.
Lets's calculate LCM of 639,262
Given numbers has no common factors except 1. So, there LCM is their product i.e 167418
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 5/167418
Therefore, the GCF of Fractions 8135/639,6440/262 is 5/167418
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 639,262 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(639,262) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(639,262) x common factors =1 x 1 = 1
LCM(639,262) = ( 639 × 262 ) / 1
LCM(639,262) = 167418 / 1
LCM(639,262) = 167418
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 8135/639, 6440/262?
Answer: GCF of Numerators as per given numbers 8135/639, 6440/262 is
GCF of Numerators i.e. for 8135,6440 is 5
LCM of denominators i.e. for 639,262 is 167418.
Thus, GCF of Fractions is 5/167418.Finally, GCF of Fractions for 8135/639, 6440/262 is 5/167418.