Use our free GCF of Fractions Calculator tool to compute the GCF of 815/844, 874/252 i.e 1/53172 easily. The following is the detailed procedure to determine the greatest common factor of fractions 815/844, 874/252.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 815/844,874/252
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 815/844,874/252, numerators are 815,874
Denominators are 844,252
The GCF of 815,874 is 1 .
LCM of 844,252 is 53172.
The greatest common factor of 815/844,874/252 = [GCF of 815,874]/[LCM of 844,252]= 1/53172
Therefore, the GCF of 815/844,874/252 is 1/53172.
To find the highest common factor of 815,874, we have to find the factors of both numbers and list the highest common factor.
The factors of 815 are 1, 5, 163, 815
The factors of 874 are 1, 2, 19, 23, 38, 46, 437, 874
The HCF of 815,874 is 1.
Lets's calculate GCF of 815,874
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 815
:1,5,163,815
Now, list down the factors of 874
:1,2,19,23,38,46,437,874
Greatest Common Factor
We found the factors 815,874 . The biggest common factor number is the GCF number.
So the greatest common factor 815,874 is 1.
Lets's calculate LCM of 844,252
2 | 844, 252 |
2 | 422, 126 |
211, 63 |
∴ So the LCM of the given numbers is 2 x 2 x 211 x 63 = 53172
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/53172
Therefore, the GCF of Fractions 815/844,874/252 is 1/53172
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 844,252 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(844,252) = 4
common factors(in case of two or more numbers have common factors) = 1
GCF(844,252) x common factors =4 x 1 = 4
LCM(844,252) = ( 844 × 252 ) / 4
LCM(844,252) = 212688 / 4
LCM(844,252) = 53172
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 815,874?
The HCF of 815,874 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 815/844, 874/252?
Answer: GCF of Numerators as per given numbers 815/844, 874/252 is
GCF of Numerators i.e. for 815,874 is 1
LCM of denominators i.e. for 844,252 is 53172.
Thus, GCF of Fractions is 1/53172.Finally, GCF of Fractions for 815/844, 874/252 is 1/53172.