Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 68/107,8408/7302
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 68,8408
Greatest Common Factor of Numerators i.e. GCF of 68,8408 is 4 .
LCM of Denominators means LCM of 107,7302 as per the given fractions.
LCM of 107,7302 is 781314 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 68,8408
2 | 68, 8408 |
2 | 34, 4204 |
17, 2102 |
∴ So the GCF of the given numbers is 2 x 2 = 4
Factors of 68
List of positive integer factors of 68 that divides 68 without a remainder.
1,2,4,17,34,68
Factors of 8408
List of positive integer factors of 8408 that divides 8408 without a remainder.
1,2,4,8,1051,2102,4204,8408
Greatest Common Factor
We found the factors 68,8408 . The biggest common factor number is the GCF number.
So the greatest common factor 68,8408 is 4.
Lets's calculate LCM of 107,7302
Given numbers has no common factors except 1. So, there LCM is their product i.e 781314
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/781314
Therefore, the GCF of Fractions 68/107,8408/7302 is 4/781314
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 107,7302 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(107,7302) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(107,7302) x common factors =1 x 1 = 1
LCM(107,7302) = ( 107 × 7302 ) / 1
LCM(107,7302) = 781314 / 1
LCM(107,7302) = 781314
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 68/107, 8408/7302?
Answer: GCF of Numerators as per given numbers 68/107, 8408/7302 is
GCF of Numerators i.e. for 68,8408 is 4
LCM of denominators i.e. for 107,7302 is 781314.
Thus, GCF of Fractions is 4/781314.Finally, GCF of Fractions for 68/107, 8408/7302 is 4/781314.