Use our free GCF of Fractions Calculator tool to compute the GCF of 974/107, 965/992 i.e 1/106144 easily. The following is the detailed procedure to determine the greatest common factor of fractions 974/107, 965/992.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 974/107,965/992
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 974/107,965/992, numerators are 974,965
Denominators are 107,992
The GCF of 974,965 is 1 .
LCM of 107,992 is 106144.
The greatest common factor of 974/107,965/992 = [GCF of 974,965]/[LCM of 107,992]= 1/106144
Therefore, the GCF of 974/107,965/992 is 1/106144.
To find the highest common factor of 974,965, we have to find the factors of both numbers and list the highest common factor.
The factors of 974 are 1, 2, 487, 974
The factors of 965 are 1, 5, 193, 965
The HCF of 974,965 is 1.
Lets's calculate GCF of 974,965
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 974
:1,2,487,974
Now, list down the factors of 965
:1,5,193,965
Greatest Common Factor
We found the factors 974,965 . The biggest common factor number is the GCF number.
So the greatest common factor 974,965 is 1.
Lets's calculate LCM of 107,992
Given numbers has no common factors except 1. So, there LCM is their product i.e 106144
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/106144
Therefore, the GCF of Fractions 974/107,965/992 is 1/106144
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 107,992 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(107,992) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(107,992) x common factors =1 x 1 = 1
LCM(107,992) = ( 107 × 992 ) / 1
LCM(107,992) = 106144 / 1
LCM(107,992) = 106144
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 974,965?
The HCF of 974,965 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 974/107, 965/992?
Answer: GCF of Numerators as per given numbers 974/107, 965/992 is
GCF of Numerators i.e. for 974,965 is 1
LCM of denominators i.e. for 107,992 is 106144.
Thus, GCF of Fractions is 1/106144.Finally, GCF of Fractions for 974/107, 965/992 is 1/106144.