Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 6277/86,6885/807
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 6277,6885
Greatest Common Factor of Numerators i.e. GCF of 6277,6885 is 1 .
LCM of Denominators means LCM of 86,807 as per the given fractions.
LCM of 86,807 is 69402 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 6277,6885
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 6277
List of positive integer factors of 6277 that divides 6277 without a remainder.
1,6277
Factors of 6885
List of positive integer factors of 6885 that divides 6885 without a remainder.
1,3,5,9,15,17,27,45,51,81,85,135,153,255,405,459,765,1377,2295,6885
Greatest Common Factor
We found the factors 6277,6885 . The biggest common factor number is the GCF number.
So the greatest common factor 6277,6885 is 1.
Lets's calculate LCM of 86,807
Given numbers has no common factors except 1. So, there LCM is their product i.e 69402
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/69402
Therefore, the GCF of Fractions 6277/86,6885/807 is 1/69402
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 86,807 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(86,807) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(86,807) x common factors =1 x 1 = 1
LCM(86,807) = ( 86 × 807 ) / 1
LCM(86,807) = 69402 / 1
LCM(86,807) = 69402
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 6277/86, 6885/807?
Answer: GCF of Numerators as per given numbers 6277/86, 6885/807 is
GCF of Numerators i.e. for 6277,6885 is 1
LCM of denominators i.e. for 86,807 is 69402.
Thus, GCF of Fractions is 1/69402.Finally, GCF of Fractions for 6277/86, 6885/807 is 1/69402.