Use our free GCF of Fractions Calculator tool to compute the GCF of 325/109, 9702/987 i.e 1/107583 easily. The following is the detailed procedure to determine the greatest common factor of fractions 325/109, 9702/987.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 325/109,9702/987
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 325/109,9702/987, numerators are 325,9702
Denominators are 109,987
The GCF of 325,9702 is 1 .
LCM of 109,987 is 107583.
The greatest common factor of 325/109,9702/987 = [GCF of 325,9702]/[LCM of 109,987]= 1/107583
Therefore, the GCF of 325/109,9702/987 is 1/107583.
To find the highest common factor of 325,9702, we have to find the factors of both numbers and list the highest common factor.
The factors of 325 are 1, 5, 13, 25, 65, 325
The factors of 9702 are 1, 2, 3, 6, 7, 9, 11, 14, 18, 21, 22, 33, 42, 49, 63, 66, 77, 98, 99, 126, 147, 154, 198, 231, 294, 441, 462, 539, 693, 882, 1078, 1386, 1617, 3234, 4851, 9702
The HCF of 325,9702 is 1.
Lets's calculate GCF of 325,9702
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 325
:1,5,13,25,65,325
Now, list down the factors of 9702
:1,2,3,6,7,9,11,14,18,21,22,33,42,49,63,66,77,98,99,126,147,154,198,231,294,441,462,539,693,882,1078,1386,1617,3234,4851,9702
Greatest Common Factor
We found the factors 325,9702 . The biggest common factor number is the GCF number.
So the greatest common factor 325,9702 is 1.
Lets's calculate LCM of 109,987
Given numbers has no common factors except 1. So, there LCM is their product i.e 107583
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/107583
Therefore, the GCF of Fractions 325/109,9702/987 is 1/107583
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 109,987 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(109,987) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(109,987) x common factors =1 x 1 = 1
LCM(109,987) = ( 109 × 987 ) / 1
LCM(109,987) = 107583 / 1
LCM(109,987) = 107583
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 325,9702?
The HCF of 325,9702 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 325/109, 9702/987?
Answer: GCF of Numerators as per given numbers 325/109, 9702/987 is
GCF of Numerators i.e. for 325,9702 is 1
LCM of denominators i.e. for 109,987 is 107583.
Thus, GCF of Fractions is 1/107583.Finally, GCF of Fractions for 325/109, 9702/987 is 1/107583.