Use our free GCF of Fractions Calculator tool to compute the GCF of 852/671, 846/733 i.e 6/491843 easily. The following is the detailed procedure to determine the greatest common factor of fractions 852/671, 846/733.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 852/671,846/733
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 852/671,846/733, numerators are 852,846
Denominators are 671,733
The GCF of 852,846 is 6 .
LCM of 671,733 is 491843.
The greatest common factor of 852/671,846/733 = [GCF of 852,846]/[LCM of 671,733]= 6/491843
Therefore, the GCF of 852/671,846/733 is 6/491843.
To find the highest common factor of 852,846, we have to find the factors of both numbers and list the highest common factor.
The factors of 852 are 1, 2, 3, 4, 6, 12, 71, 142, 213, 284, 426, 852
The factors of 846 are 1, 2, 3, 6, 9, 18, 47, 94, 141, 282, 423, 846
The HCF of 852,846 is 6.
Lets's calculate GCF of 852,846
2 | 852, 846 |
3 | 426, 423 |
142, 141 |
∴ So the GCF of the given numbers is 2 x 3 = 6
Now, list down the factors of 852
:1,2,3,4,6,12,71,142,213,284,426,852
Now, list down the factors of 846
:1,2,3,6,9,18,47,94,141,282,423,846
Greatest Common Factor
We found the factors 852,846 . The biggest common factor number is the GCF number.
So the greatest common factor 852,846 is 6.
Lets's calculate LCM of 671,733
Given numbers has no common factors except 1. So, there LCM is their product i.e 491843
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 6/491843
Therefore, the GCF of Fractions 852/671,846/733 is 6/491843
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 671,733 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(671,733) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(671,733) x common factors =1 x 1 = 1
LCM(671,733) = ( 671 × 733 ) / 1
LCM(671,733) = 491843 / 1
LCM(671,733) = 491843
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 852,846?
The HCF of 852,846 is 6
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 852/671, 846/733?
Answer: GCF of Numerators as per given numbers 852/671, 846/733 is
GCF of Numerators i.e. for 852,846 is 6
LCM of denominators i.e. for 671,733 is 491843.
Thus, GCF of Fractions is 6/491843.Finally, GCF of Fractions for 852/671, 846/733 is 6/491843.