Use our free GCF of Fractions Calculator tool to compute the GCF of 9424/212, 6443/4207 i.e 1/891884 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9424/212, 6443/4207.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 9424/212,6443/4207
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 9424/212,6443/4207, numerators are 9424,6443
Denominators are 212,4207
The GCF of 9424,6443 is 1 .
LCM of 212,4207 is 891884.
The greatest common factor of 9424/212,6443/4207 = [GCF of 9424,6443]/[LCM of 212,4207]= 1/891884
Therefore, the GCF of 9424/212,6443/4207 is 1/891884.
To find the highest common factor of 9424,6443, we have to find the factors of both numbers and list the highest common factor.
The factors of 9424 are 1, 2, 4, 8, 16, 19, 31, 38, 62, 76, 124, 152, 248, 304, 496, 589, 1178, 2356, 4712, 9424
The factors of 6443 are 1, 17, 379, 6443
The HCF of 9424,6443 is 1.
Lets's calculate GCF of 9424,6443
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 9424
:1,2,4,8,16,19,31,38,62,76,124,152,248,304,496,589,1178,2356,4712,9424
Now, list down the factors of 6443
:1,17,379,6443
Greatest Common Factor
We found the factors 9424,6443 . The biggest common factor number is the GCF number.
So the greatest common factor 9424,6443 is 1.
Lets's calculate LCM of 212,4207
Given numbers has no common factors except 1. So, there LCM is their product i.e 891884
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/891884
Therefore, the GCF of Fractions 9424/212,6443/4207 is 1/891884
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 212,4207 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(212,4207) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(212,4207) x common factors =1 x 1 = 1
LCM(212,4207) = ( 212 × 4207 ) / 1
LCM(212,4207) = 891884 / 1
LCM(212,4207) = 891884
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 9424,6443?
The HCF of 9424,6443 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 9424/212, 6443/4207?
Answer: GCF of Numerators as per given numbers 9424/212, 6443/4207 is
GCF of Numerators i.e. for 9424,6443 is 1
LCM of denominators i.e. for 212,4207 is 891884.
Thus, GCF of Fractions is 1/891884.Finally, GCF of Fractions for 9424/212, 6443/4207 is 1/891884.