Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 6654/795,5276/209
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 6654,5276
Greatest Common Factor of Numerators i.e. GCF of 6654,5276 is 2 .
LCM of Denominators means LCM of 795,209 as per the given fractions.
LCM of 795,209 is 166155 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 6654,5276
2 | 6654, 5276 |
3327, 2638 |
∴ So the GCF of the given numbers is 2 = 2
Factors of 6654
List of positive integer factors of 6654 that divides 6654 without a remainder.
1,2,3,6,1109,2218,3327,6654
Factors of 5276
List of positive integer factors of 5276 that divides 5276 without a remainder.
1,2,4,1319,2638,5276
Greatest Common Factor
We found the factors 6654,5276 . The biggest common factor number is the GCF number.
So the greatest common factor 6654,5276 is 2.
Lets's calculate LCM of 795,209
Given numbers has no common factors except 1. So, there LCM is their product i.e 166155
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/166155
Therefore, the GCF of Fractions 6654/795,5276/209 is 2/166155
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 795,209 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(795,209) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(795,209) x common factors =1 x 1 = 1
LCM(795,209) = ( 795 × 209 ) / 1
LCM(795,209) = 166155 / 1
LCM(795,209) = 166155
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 6654/795, 5276/209?
Answer: GCF of Numerators as per given numbers 6654/795, 5276/209 is
GCF of Numerators i.e. for 6654,5276 is 2
LCM of denominators i.e. for 795,209 is 166155.
Thus, GCF of Fractions is 2/166155.Finally, GCF of Fractions for 6654/795, 5276/209 is 2/166155.