Use our free GCF of Fractions Calculator tool to compute the GCF of 836/443, 851/999 i.e 1/442557 easily. The following is the detailed procedure to determine the greatest common factor of fractions 836/443, 851/999.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 836/443,851/999
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 836/443,851/999, numerators are 836,851
Denominators are 443,999
The GCF of 836,851 is 1 .
LCM of 443,999 is 442557.
The greatest common factor of 836/443,851/999 = [GCF of 836,851]/[LCM of 443,999]= 1/442557
Therefore, the GCF of 836/443,851/999 is 1/442557.
To find the highest common factor of 836,851, we have to find the factors of both numbers and list the highest common factor.
The factors of 836 are 1, 2, 4, 11, 19, 22, 38, 44, 76, 209, 418, 836
The factors of 851 are 1, 23, 37, 851
The HCF of 836,851 is 1.
Lets's calculate GCF of 836,851
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 836
:1,2,4,11,19,22,38,44,76,209,418,836
Now, list down the factors of 851
:1,23,37,851
Greatest Common Factor
We found the factors 836,851 . The biggest common factor number is the GCF number.
So the greatest common factor 836,851 is 1.
Lets's calculate LCM of 443,999
Given numbers has no common factors except 1. So, there LCM is their product i.e 442557
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/442557
Therefore, the GCF of Fractions 836/443,851/999 is 1/442557
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 443,999 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(443,999) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(443,999) x common factors =1 x 1 = 1
LCM(443,999) = ( 443 × 999 ) / 1
LCM(443,999) = 442557 / 1
LCM(443,999) = 442557
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 836,851?
The HCF of 836,851 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 836/443, 851/999?
Answer: GCF of Numerators as per given numbers 836/443, 851/999 is
GCF of Numerators i.e. for 836,851 is 1
LCM of denominators i.e. for 443,999 is 442557.
Thus, GCF of Fractions is 1/442557.Finally, GCF of Fractions for 836/443, 851/999 is 1/442557.