Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 7655/26,3906/773
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 7655,3906
Greatest Common Factor of Numerators i.e. GCF of 7655,3906 is 1 .
LCM of Denominators means LCM of 26,773 as per the given fractions.
LCM of 26,773 is 20098 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 7655,3906
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 7655
List of positive integer factors of 7655 that divides 7655 without a remainder.
1,5,1531,7655
Factors of 3906
List of positive integer factors of 3906 that divides 3906 without a remainder.
1,2,3,6,7,9,14,18,21,31,42,62,63,93,126,186,217,279,434,558,651,1302,1953,3906
Greatest Common Factor
We found the factors 7655,3906 . The biggest common factor number is the GCF number.
So the greatest common factor 7655,3906 is 1.
Lets's calculate LCM of 26,773
Given numbers has no common factors except 1. So, there LCM is their product i.e 20098
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/20098
Therefore, the GCF of Fractions 7655/26,3906/773 is 1/20098
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 26,773 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(26,773) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(26,773) x common factors =1 x 1 = 1
LCM(26,773) = ( 26 × 773 ) / 1
LCM(26,773) = 20098 / 1
LCM(26,773) = 20098
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 7655/26, 3906/773?
Answer: GCF of Numerators as per given numbers 7655/26, 3906/773 is
GCF of Numerators i.e. for 7655,3906 is 1
LCM of denominators i.e. for 26,773 is 20098.
Thus, GCF of Fractions is 1/20098.Finally, GCF of Fractions for 7655/26, 3906/773 is 1/20098.