Use our free GCF of Fractions Calculator tool to compute the GCF of 16/966, 91/919, 207/247 i.e 1/219275238 easily. The following is the detailed procedure to determine the greatest common factor of fractions 16/966, 91/919, 207/247.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 16/966,91/919,207/247
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 16/966,91/919,207/247, numerators are 16,91,207
Denominators are 966,919,247
The GCF of 16,91,207 is 1 .
LCM of 966,919,247 is 219275238.
The greatest common factor of 16/966,91/919,207/247 = [GCF of 16,91,207]/[LCM of 966,919,247]= 1/219275238
Therefore, the GCF of 16/966,91/919,207/247 is 1/219275238.
To find the highest common factor of 16,91,207, we have to find the factors of both numbers and list the highest common factor.
The factors of 16 are 1, 2, 4, 8, 16
The factors of 91 are 1, 7, 13, 91
The factors of 207 are 1, 3, 9, 23, 69, 207
The HCF of 16,91,207 is 1.
Lets's calculate GCF of 16,91,207
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 16
:1,2,4,8,16
Now, list down the factors of 91
:1,7,13,91
Now, list down the factors of 207
:1,3,9,23,69,207
Greatest Common Factor
We found the factors 16,91,207 . The biggest common factor number is the GCF number.
So the greatest common factor 16,91,207 is 1.
Lets's calculate LCM of 966,919,247
Given numbers has no common factors except 1. So, there LCM is their product i.e 219275238
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/219275238
Therefore, the GCF of Fractions 16/966,91/919,207/247 is 1/219275238
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 966,919,247 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(966,919,247) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(966,919,247) x common factors =1 x 1 = 1
LCM(966,919,247) = ( 966 × 919 × 247 ) / 1
LCM(966,919,247) = 219275238 / 1
LCM(966,919,247) = 219275238
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 16,91,207?
The HCF of 16,91,207 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 16/966, 91/919, 207/247?
Answer: GCF of Numerators as per given numbers 16/966, 91/919, 207/247 is
GCF of Numerators i.e. for 16,91,207 is 1
LCM of denominators i.e. for 966,919,247 is 219275238.
Thus, GCF of Fractions is 1/219275238.Finally, GCF of Fractions for 16/966, 91/919, 207/247 is 1/219275238.