Use our free GCF of Fractions Calculator tool to compute the GCF of 869/634, 384/233 i.e 1/147722 easily. The following is the detailed procedure to determine the greatest common factor of fractions 869/634, 384/233.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 869/634,384/233
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 869/634,384/233, numerators are 869,384
Denominators are 634,233
The GCF of 869,384 is 1 .
LCM of 634,233 is 147722.
The greatest common factor of 869/634,384/233 = [GCF of 869,384]/[LCM of 634,233]= 1/147722
Therefore, the GCF of 869/634,384/233 is 1/147722.
To find the highest common factor of 869,384, we have to find the factors of both numbers and list the highest common factor.
The factors of 869 are 1, 11, 79, 869
The factors of 384 are 1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 128, 192, 384
The HCF of 869,384 is 1.
Lets's calculate GCF of 869,384
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 869
:1,11,79,869
Now, list down the factors of 384
:1,2,3,4,6,8,12,16,24,32,48,64,96,128,192,384
Greatest Common Factor
We found the factors 869,384 . The biggest common factor number is the GCF number.
So the greatest common factor 869,384 is 1.
Lets's calculate LCM of 634,233
Given numbers has no common factors except 1. So, there LCM is their product i.e 147722
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/147722
Therefore, the GCF of Fractions 869/634,384/233 is 1/147722
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 634,233 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(634,233) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(634,233) x common factors =1 x 1 = 1
LCM(634,233) = ( 634 × 233 ) / 1
LCM(634,233) = 147722 / 1
LCM(634,233) = 147722
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 869,384?
The HCF of 869,384 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 869/634, 384/233?
Answer: GCF of Numerators as per given numbers 869/634, 384/233 is
GCF of Numerators i.e. for 869,384 is 1
LCM of denominators i.e. for 634,233 is 147722.
Thus, GCF of Fractions is 1/147722.Finally, GCF of Fractions for 869/634, 384/233 is 1/147722.