Use our free GCF of Fractions Calculator tool to compute the GCF of 687/214, 322/707 i.e 1/151298 easily. The following is the detailed procedure to determine the greatest common factor of fractions 687/214, 322/707.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 687/214,322/707
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 687/214,322/707, numerators are 687,322
Denominators are 214,707
The GCF of 687,322 is 1 .
LCM of 214,707 is 151298.
The greatest common factor of 687/214,322/707 = [GCF of 687,322]/[LCM of 214,707]= 1/151298
Therefore, the GCF of 687/214,322/707 is 1/151298.
To find the highest common factor of 687,322, we have to find the factors of both numbers and list the highest common factor.
The factors of 687 are 1, 3, 229, 687
The factors of 322 are 1, 2, 7, 14, 23, 46, 161, 322
The HCF of 687,322 is 1.
Lets's calculate GCF of 687,322
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 687
:1,3,229,687
Now, list down the factors of 322
:1,2,7,14,23,46,161,322
Greatest Common Factor
We found the factors 687,322 . The biggest common factor number is the GCF number.
So the greatest common factor 687,322 is 1.
Lets's calculate LCM of 214,707
Given numbers has no common factors except 1. So, there LCM is their product i.e 151298
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/151298
Therefore, the GCF of Fractions 687/214,322/707 is 1/151298
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 214,707 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(214,707) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(214,707) x common factors =1 x 1 = 1
LCM(214,707) = ( 214 × 707 ) / 1
LCM(214,707) = 151298 / 1
LCM(214,707) = 151298
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 687,322?
The HCF of 687,322 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 687/214, 322/707?
Answer: GCF of Numerators as per given numbers 687/214, 322/707 is
GCF of Numerators i.e. for 687,322 is 1
LCM of denominators i.e. for 214,707 is 151298.
Thus, GCF of Fractions is 1/151298.Finally, GCF of Fractions for 687/214, 322/707 is 1/151298.