Use our free GCF of Fractions Calculator tool to compute the GCF of 1402/171, 8619/5986 i.e 1/1023606 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1402/171, 8619/5986.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 1402/171,8619/5986
To find the GCF of fractions, we have to find the GCF of numerator numbers and LCM of denominator numbers. Its formula is given by
GCF of Fraction = Greatest Common Factor of Numerator/Least Common Multiple of Denominators
In the fractions 1402/171,8619/5986, numerators are 1402,8619
Denominators are 171,5986
The GCF of 1402,8619 is 1 .
LCM of 171,5986 is 1023606.
The greatest common factor of 1402/171,8619/5986 = [GCF of 1402,8619]/[LCM of 171,5986]= 1/1023606
Therefore, the GCF of 1402/171,8619/5986 is 1/1023606.
To find the highest common factor of 1402,8619, we have to find the factors of both numbers and list the highest common factor.
The factors of 1402 are 1, 2, 701, 1402
The factors of 8619 are 1, 3, 13, 17, 39, 51, 169, 221, 507, 663, 2873, 8619
The HCF of 1402,8619 is 1.
Lets's calculate GCF of 1402,8619
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 1402
:1,2,701,1402
Now, list down the factors of 8619
:1,3,13,17,39,51,169,221,507,663,2873,8619
Greatest Common Factor
We found the factors 1402,8619 . The biggest common factor number is the GCF number.
So the greatest common factor 1402,8619 is 1.
Lets's calculate LCM of 171,5986
Given numbers has no common factors except 1. So, there LCM is their product i.e 1023606
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1023606
Therefore, the GCF of Fractions 1402/171,8619/5986 is 1/1023606
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 171,5986 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(171,5986) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(171,5986) x common factors =1 x 1 = 1
LCM(171,5986) = ( 171 × 5986 ) / 1
LCM(171,5986) = 1023606 / 1
LCM(171,5986) = 1023606
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 1402,8619?
The HCF of 1402,8619 is 1
2. What is the GCF of a fraction?
The GCF of a fraction is defined as the greatest fraction that divides exactly into 2 or more fractions.
3. 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.
4. What is the GCF of Fractions for 1402/171, 8619/5986?
Answer: GCF of Numerators as per given numbers 1402/171, 8619/5986 is
GCF of Numerators i.e. for 1402,8619 is 1
LCM of denominators i.e. for 171,5986 is 1023606.
Thus, GCF of Fractions is 1/1023606.Finally, GCF of Fractions for 1402/171, 8619/5986 is 1/1023606.