Use our free GCF of Fractions Calculator tool to compute the GCF of 967/209, 512/221 i.e 1/46189 easily. The following is the detailed procedure to determine the greatest common factor of fractions 967/209, 512/221.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 967/209,512/221
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 967/209,512/221, numerators are 967,512
Denominators are 209,221
The GCF of 967,512 is 1 .
LCM of 209,221 is 46189.
The greatest common factor of 967/209,512/221 = [GCF of 967,512]/[LCM of 209,221]= 1/46189
Therefore, the GCF of 967/209,512/221 is 1/46189.
To find the highest common factor of 967,512, we have to find the factors of both numbers and list the highest common factor.
The factors of 967 are 1, 967
The factors of 512 are 1, 2, 4, 8, 16, 32, 64, 128, 256, 512
The HCF of 967,512 is 1.
Lets's calculate GCF of 967,512
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 967
:1,967
Now, list down the factors of 512
:1,2,4,8,16,32,64,128,256,512
Greatest Common Factor
We found the factors 967,512 . The biggest common factor number is the GCF number.
So the greatest common factor 967,512 is 1.
Lets's calculate LCM of 209,221
Given numbers has no common factors except 1. So, there LCM is their product i.e 46189
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/46189
Therefore, the GCF of Fractions 967/209,512/221 is 1/46189
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 209,221 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(209,221) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(209,221) x common factors =1 x 1 = 1
LCM(209,221) = ( 209 × 221 ) / 1
LCM(209,221) = 46189 / 1
LCM(209,221) = 46189
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 967,512?
The HCF of 967,512 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 967/209, 512/221?
Answer: GCF of Numerators as per given numbers 967/209, 512/221 is
GCF of Numerators i.e. for 967,512 is 1
LCM of denominators i.e. for 209,221 is 46189.
Thus, GCF of Fractions is 1/46189.Finally, GCF of Fractions for 967/209, 512/221 is 1/46189.