Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 8260/163,6539/5130
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 8260,6539
Greatest Common Factor of Numerators i.e. GCF of 8260,6539 is 1 .
LCM of Denominators means LCM of 163,5130 as per the given fractions.
LCM of 163,5130 is 836190 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 8260,6539
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 8260
List of positive integer factors of 8260 that divides 8260 without a remainder.
1,2,4,5,7,10,14,20,28,35,59,70,118,140,236,295,413,590,826,1180,1652,2065,4130,8260
Factors of 6539
List of positive integer factors of 6539 that divides 6539 without a remainder.
1,13,503,6539
Greatest Common Factor
We found the factors 8260,6539 . The biggest common factor number is the GCF number.
So the greatest common factor 8260,6539 is 1.
Lets's calculate LCM of 163,5130
Given numbers has no common factors except 1. So, there LCM is their product i.e 836190
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/836190
Therefore, the GCF of Fractions 8260/163,6539/5130 is 1/836190
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 163,5130 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(163,5130) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(163,5130) x common factors =1 x 1 = 1
LCM(163,5130) = ( 163 × 5130 ) / 1
LCM(163,5130) = 836190 / 1
LCM(163,5130) = 836190
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 8260/163, 6539/5130?
Answer: GCF of Numerators as per given numbers 8260/163, 6539/5130 is
GCF of Numerators i.e. for 8260,6539 is 1
LCM of denominators i.e. for 163,5130 is 836190.
Thus, GCF of Fractions is 1/836190.Finally, GCF of Fractions for 8260/163, 6539/5130 is 1/836190.