Use our free GCF of Fractions Calculator tool to compute the GCF of 851/941, 984/431 i.e 1/405571 easily. The following is the detailed procedure to determine the greatest common factor of fractions 851/941, 984/431.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 851/941,984/431
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 851/941,984/431, numerators are 851,984
Denominators are 941,431
The GCF of 851,984 is 1 .
LCM of 941,431 is 405571.
The greatest common factor of 851/941,984/431 = [GCF of 851,984]/[LCM of 941,431]= 1/405571
Therefore, the GCF of 851/941,984/431 is 1/405571.
To find the highest common factor of 851,984, we have to find the factors of both numbers and list the highest common factor.
The factors of 851 are 1, 23, 37, 851
The factors of 984 are 1, 2, 3, 4, 6, 8, 12, 24, 41, 82, 123, 164, 246, 328, 492, 984
The HCF of 851,984 is 1.
Lets's calculate GCF of 851,984
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 851
:1,23,37,851
Now, list down the factors of 984
:1,2,3,4,6,8,12,24,41,82,123,164,246,328,492,984
Greatest Common Factor
We found the factors 851,984 . The biggest common factor number is the GCF number.
So the greatest common factor 851,984 is 1.
Lets's calculate LCM of 941,431
Given numbers has no common factors except 1. So, there LCM is their product i.e 405571
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/405571
Therefore, the GCF of Fractions 851/941,984/431 is 1/405571
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 941,431 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(941,431) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(941,431) x common factors =1 x 1 = 1
LCM(941,431) = ( 941 × 431 ) / 1
LCM(941,431) = 405571 / 1
LCM(941,431) = 405571
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 851,984?
The HCF of 851,984 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 851/941, 984/431?
Answer: GCF of Numerators as per given numbers 851/941, 984/431 is
GCF of Numerators i.e. for 851,984 is 1
LCM of denominators i.e. for 941,431 is 405571.
Thus, GCF of Fractions is 1/405571.Finally, GCF of Fractions for 851/941, 984/431 is 1/405571.