Use our free GCF of Fractions Calculator tool to compute the GCF of 6401/947, 1506/8509 i.e 1/8058023 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6401/947, 1506/8509.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 6401/947,1506/8509
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 6401/947,1506/8509, numerators are 6401,1506
Denominators are 947,8509
The GCF of 6401,1506 is 1 .
LCM of 947,8509 is 8058023.
The greatest common factor of 6401/947,1506/8509 = [GCF of 6401,1506]/[LCM of 947,8509]= 1/8058023
Therefore, the GCF of 6401/947,1506/8509 is 1/8058023.
To find the highest common factor of 6401,1506, we have to find the factors of both numbers and list the highest common factor.
The factors of 6401 are 1, 37, 173, 6401
The factors of 1506 are 1, 2, 3, 6, 251, 502, 753, 1506
The HCF of 6401,1506 is 1.
Lets's calculate GCF of 6401,1506
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 6401
:1,37,173,6401
Now, list down the factors of 1506
:1,2,3,6,251,502,753,1506
Greatest Common Factor
We found the factors 6401,1506 . The biggest common factor number is the GCF number.
So the greatest common factor 6401,1506 is 1.
Lets's calculate LCM of 947,8509
Given numbers has no common factors except 1. So, there LCM is their product i.e 8058023
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/8058023
Therefore, the GCF of Fractions 6401/947,1506/8509 is 1/8058023
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 947,8509 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(947,8509) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(947,8509) x common factors =1 x 1 = 1
LCM(947,8509) = ( 947 × 8509 ) / 1
LCM(947,8509) = 8058023 / 1
LCM(947,8509) = 8058023
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 6401,1506?
The HCF of 6401,1506 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 6401/947, 1506/8509?
Answer: GCF of Numerators as per given numbers 6401/947, 1506/8509 is
GCF of Numerators i.e. for 6401,1506 is 1
LCM of denominators i.e. for 947,8509 is 8058023.
Thus, GCF of Fractions is 1/8058023.Finally, GCF of Fractions for 6401/947, 1506/8509 is 1/8058023.