Use our free GCF of Fractions Calculator tool to compute the GCF of 9322/877, 2167/9345 i.e 1/8195565 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9322/877, 2167/9345.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 9322/877,2167/9345
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 9322/877,2167/9345, numerators are 9322,2167
Denominators are 877,9345
The GCF of 9322,2167 is 1 .
LCM of 877,9345 is 8195565.
The greatest common factor of 9322/877,2167/9345 = [GCF of 9322,2167]/[LCM of 877,9345]= 1/8195565
Therefore, the GCF of 9322/877,2167/9345 is 1/8195565.
To find the highest common factor of 9322,2167, we have to find the factors of both numbers and list the highest common factor.
The factors of 9322 are 1, 2, 59, 79, 118, 158, 4661, 9322
The factors of 2167 are 1, 11, 197, 2167
The HCF of 9322,2167 is 1.
Lets's calculate GCF of 9322,2167
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 9322
:1,2,59,79,118,158,4661,9322
Now, list down the factors of 2167
:1,11,197,2167
Greatest Common Factor
We found the factors 9322,2167 . The biggest common factor number is the GCF number.
So the greatest common factor 9322,2167 is 1.
Lets's calculate LCM of 877,9345
Given numbers has no common factors except 1. So, there LCM is their product i.e 8195565
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/8195565
Therefore, the GCF of Fractions 9322/877,2167/9345 is 1/8195565
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 877,9345 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(877,9345) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(877,9345) x common factors =1 x 1 = 1
LCM(877,9345) = ( 877 × 9345 ) / 1
LCM(877,9345) = 8195565 / 1
LCM(877,9345) = 8195565
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 9322,2167?
The HCF of 9322,2167 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 9322/877, 2167/9345?
Answer: GCF of Numerators as per given numbers 9322/877, 2167/9345 is
GCF of Numerators i.e. for 9322,2167 is 1
LCM of denominators i.e. for 877,9345 is 8195565.
Thus, GCF of Fractions is 1/8195565.Finally, GCF of Fractions for 9322/877, 2167/9345 is 1/8195565.