Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 6276/786,3859/7403
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 6276,3859
Greatest Common Factor of Numerators i.e. GCF of 6276,3859 is 1 .
LCM of Denominators means LCM of 786,7403 as per the given fractions.
LCM of 786,7403 is 5818758 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 6276,3859
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 6276
List of positive integer factors of 6276 that divides 6276 without a remainder.
1,2,3,4,6,12,523,1046,1569,2092,3138,6276
Factors of 3859
List of positive integer factors of 3859 that divides 3859 without a remainder.
1,17,227,3859
Greatest Common Factor
We found the factors 6276,3859 . The biggest common factor number is the GCF number.
So the greatest common factor 6276,3859 is 1.
Lets's calculate LCM of 786,7403
Given numbers has no common factors except 1. So, there LCM is their product i.e 5818758
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/5818758
Therefore, the GCF of Fractions 6276/786,3859/7403 is 1/5818758
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 786,7403 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(786,7403) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(786,7403) x common factors =1 x 1 = 1
LCM(786,7403) = ( 786 × 7403 ) / 1
LCM(786,7403) = 5818758 / 1
LCM(786,7403) = 5818758
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 6276/786, 3859/7403?
Answer: GCF of Numerators as per given numbers 6276/786, 3859/7403 is
GCF of Numerators i.e. for 6276,3859 is 1
LCM of denominators i.e. for 786,7403 is 5818758.
Thus, GCF of Fractions is 1/5818758.Finally, GCF of Fractions for 6276/786, 3859/7403 is 1/5818758.