Use our free GCF of Fractions Calculator tool to compute the GCF of 400/985, 859/767 i.e 1/755495 easily. The following is the detailed procedure to determine the greatest common factor of fractions 400/985, 859/767.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 400/985,859/767
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 400/985,859/767, numerators are 400,859
Denominators are 985,767
The GCF of 400,859 is 1 .
LCM of 985,767 is 755495.
The greatest common factor of 400/985,859/767 = [GCF of 400,859]/[LCM of 985,767]= 1/755495
Therefore, the GCF of 400/985,859/767 is 1/755495.
To find the highest common factor of 400,859, we have to find the factors of both numbers and list the highest common factor.
The factors of 400 are 1, 2, 4, 5, 8, 10, 16, 20, 25, 40, 50, 80, 100, 200, 400
The factors of 859 are 1, 859
The HCF of 400,859 is 1.
Lets's calculate GCF of 400,859
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 400
:1,2,4,5,8,10,16,20,25,40,50,80,100,200,400
Now, list down the factors of 859
:1,859
Greatest Common Factor
We found the factors 400,859 . The biggest common factor number is the GCF number.
So the greatest common factor 400,859 is 1.
Lets's calculate LCM of 985,767
Given numbers has no common factors except 1. So, there LCM is their product i.e 755495
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/755495
Therefore, the GCF of Fractions 400/985,859/767 is 1/755495
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 985,767 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(985,767) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(985,767) x common factors =1 x 1 = 1
LCM(985,767) = ( 985 × 767 ) / 1
LCM(985,767) = 755495 / 1
LCM(985,767) = 755495
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 400,859?
The HCF of 400,859 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 400/985, 859/767?
Answer: GCF of Numerators as per given numbers 400/985, 859/767 is
GCF of Numerators i.e. for 400,859 is 1
LCM of denominators i.e. for 985,767 is 755495.
Thus, GCF of Fractions is 1/755495.Finally, GCF of Fractions for 400/985, 859/767 is 1/755495.