Use our free GCF of Fractions Calculator tool to compute the GCF of 8612/25, 1859/687 i.e 1/17175 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8612/25, 1859/687.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 8612/25,1859/687
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 8612/25,1859/687, numerators are 8612,1859
Denominators are 25,687
The GCF of 8612,1859 is 1 .
LCM of 25,687 is 17175.
The greatest common factor of 8612/25,1859/687 = [GCF of 8612,1859]/[LCM of 25,687]= 1/17175
Therefore, the GCF of 8612/25,1859/687 is 1/17175.
To find the highest common factor of 8612,1859, we have to find the factors of both numbers and list the highest common factor.
The factors of 8612 are 1, 2, 4, 2153, 4306, 8612
The factors of 1859 are 1, 11, 13, 143, 169, 1859
The HCF of 8612,1859 is 1.
Lets's calculate GCF of 8612,1859
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 8612
:1,2,4,2153,4306,8612
Now, list down the factors of 1859
:1,11,13,143,169,1859
Greatest Common Factor
We found the factors 8612,1859 . The biggest common factor number is the GCF number.
So the greatest common factor 8612,1859 is 1.
Lets's calculate LCM of 25,687
Given numbers has no common factors except 1. So, there LCM is their product i.e 17175
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/17175
Therefore, the GCF of Fractions 8612/25,1859/687 is 1/17175
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 25,687 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(25,687) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(25,687) x common factors =1 x 1 = 1
LCM(25,687) = ( 25 × 687 ) / 1
LCM(25,687) = 17175 / 1
LCM(25,687) = 17175
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 8612,1859?
The HCF of 8612,1859 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 8612/25, 1859/687?
Answer: GCF of Numerators as per given numbers 8612/25, 1859/687 is
GCF of Numerators i.e. for 8612,1859 is 1
LCM of denominators i.e. for 25,687 is 17175.
Thus, GCF of Fractions is 1/17175.Finally, GCF of Fractions for 8612/25, 1859/687 is 1/17175.