Use our free GCF of Fractions Calculator tool to compute the GCF of 806/211, 967/689 i.e 1/145379 easily. The following is the detailed procedure to determine the greatest common factor of fractions 806/211, 967/689.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 806/211,967/689
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 806/211,967/689, numerators are 806,967
Denominators are 211,689
The GCF of 806,967 is 1 .
LCM of 211,689 is 145379.
The greatest common factor of 806/211,967/689 = [GCF of 806,967]/[LCM of 211,689]= 1/145379
Therefore, the GCF of 806/211,967/689 is 1/145379.
To find the highest common factor of 806,967, we have to find the factors of both numbers and list the highest common factor.
The factors of 806 are 1, 2, 13, 26, 31, 62, 403, 806
The factors of 967 are 1, 967
The HCF of 806,967 is 1.
Lets's calculate GCF of 806,967
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 806
:1,2,13,26,31,62,403,806
Now, list down the factors of 967
:1,967
Greatest Common Factor
We found the factors 806,967 . The biggest common factor number is the GCF number.
So the greatest common factor 806,967 is 1.
Lets's calculate LCM of 211,689
Given numbers has no common factors except 1. So, there LCM is their product i.e 145379
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/145379
Therefore, the GCF of Fractions 806/211,967/689 is 1/145379
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 211,689 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(211,689) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(211,689) x common factors =1 x 1 = 1
LCM(211,689) = ( 211 × 689 ) / 1
LCM(211,689) = 145379 / 1
LCM(211,689) = 145379
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 806,967?
The HCF of 806,967 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 806/211, 967/689?
Answer: GCF of Numerators as per given numbers 806/211, 967/689 is
GCF of Numerators i.e. for 806,967 is 1
LCM of denominators i.e. for 211,689 is 145379.
Thus, GCF of Fractions is 1/145379.Finally, GCF of Fractions for 806/211, 967/689 is 1/145379.