Use our free GCF of Fractions Calculator tool to compute the GCF of 892/874, 7845/8243 i.e 1/7204382 easily. The following is the detailed procedure to determine the greatest common factor of fractions 892/874, 7845/8243.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 892/874,7845/8243
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 892/874,7845/8243, numerators are 892,7845
Denominators are 874,8243
The GCF of 892,7845 is 1 .
LCM of 874,8243 is 7204382.
The greatest common factor of 892/874,7845/8243 = [GCF of 892,7845]/[LCM of 874,8243]= 1/7204382
Therefore, the GCF of 892/874,7845/8243 is 1/7204382.
To find the highest common factor of 892,7845, we have to find the factors of both numbers and list the highest common factor.
The factors of 892 are 1, 2, 4, 223, 446, 892
The factors of 7845 are 1, 3, 5, 15, 523, 1569, 2615, 7845
The HCF of 892,7845 is 1.
Lets's calculate GCF of 892,7845
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 892
:1,2,4,223,446,892
Now, list down the factors of 7845
:1,3,5,15,523,1569,2615,7845
Greatest Common Factor
We found the factors 892,7845 . The biggest common factor number is the GCF number.
So the greatest common factor 892,7845 is 1.
Lets's calculate LCM of 874,8243
Given numbers has no common factors except 1. So, there LCM is their product i.e 7204382
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/7204382
Therefore, the GCF of Fractions 892/874,7845/8243 is 1/7204382
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 874,8243 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(874,8243) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(874,8243) x common factors =1 x 1 = 1
LCM(874,8243) = ( 874 × 8243 ) / 1
LCM(874,8243) = 7204382 / 1
LCM(874,8243) = 7204382
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 892,7845?
The HCF of 892,7845 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 892/874, 7845/8243?
Answer: GCF of Numerators as per given numbers 892/874, 7845/8243 is
GCF of Numerators i.e. for 892,7845 is 1
LCM of denominators i.e. for 874,8243 is 7204382.
Thus, GCF of Fractions is 1/7204382.Finally, GCF of Fractions for 892/874, 7845/8243 is 1/7204382.