Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 6421/88,5859/631
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 6421,5859
Greatest Common Factor of Numerators i.e. GCF of 6421,5859 is 1 .
LCM of Denominators means LCM of 88,631 as per the given fractions.
LCM of 88,631 is 55528 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 6421,5859
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 6421
List of positive integer factors of 6421 that divides 6421 without a remainder.
1,6421
Factors of 5859
List of positive integer factors of 5859 that divides 5859 without a remainder.
1,3,7,9,21,27,31,63,93,189,217,279,651,837,1953,5859
Greatest Common Factor
We found the factors 6421,5859 . The biggest common factor number is the GCF number.
So the greatest common factor 6421,5859 is 1.
Lets's calculate LCM of 88,631
Given numbers has no common factors except 1. So, there LCM is their product i.e 55528
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/55528
Therefore, the GCF of Fractions 6421/88,5859/631 is 1/55528
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 88,631 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(88,631) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(88,631) x common factors =1 x 1 = 1
LCM(88,631) = ( 88 × 631 ) / 1
LCM(88,631) = 55528 / 1
LCM(88,631) = 55528
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 6421/88, 5859/631?
Answer: GCF of Numerators as per given numbers 6421/88, 5859/631 is
GCF of Numerators i.e. for 6421,5859 is 1
LCM of denominators i.e. for 88,631 is 55528.
Thus, GCF of Fractions is 1/55528.Finally, GCF of Fractions for 6421/88, 5859/631 is 1/55528.