Use our free GCF of Fractions Calculator tool to compute the GCF of 869/428, 623/648 i.e 1/69336 easily. The following is the detailed procedure to determine the greatest common factor of fractions 869/428, 623/648.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 869/428,623/648
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 869/428,623/648, numerators are 869,623
Denominators are 428,648
The GCF of 869,623 is 1 .
LCM of 428,648 is 69336.
The greatest common factor of 869/428,623/648 = [GCF of 869,623]/[LCM of 428,648]= 1/69336
Therefore, the GCF of 869/428,623/648 is 1/69336.
To find the highest common factor of 869,623, 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 623 are 1, 7, 89, 623
The HCF of 869,623 is 1.
Lets's calculate GCF of 869,623
∴ 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 623
:1,7,89,623
Greatest Common Factor
We found the factors 869,623 . The biggest common factor number is the GCF number.
So the greatest common factor 869,623 is 1.
Lets's calculate LCM of 428,648
2 | 428, 648 |
2 | 214, 324 |
107, 162 |
∴ So the LCM of the given numbers is 2 x 2 x 107 x 162 = 69336
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/69336
Therefore, the GCF of Fractions 869/428,623/648 is 1/69336
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 428,648 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(428,648) = 4
common factors(in case of two or more numbers have common factors) = 1
GCF(428,648) x common factors =4 x 1 = 4
LCM(428,648) = ( 428 × 648 ) / 4
LCM(428,648) = 277344 / 4
LCM(428,648) = 69336
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 869,623?
The HCF of 869,623 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 869/428, 623/648?
Answer: GCF of Numerators as per given numbers 869/428, 623/648 is
GCF of Numerators i.e. for 869,623 is 1
LCM of denominators i.e. for 428,648 is 69336.
Thus, GCF of Fractions is 1/69336.Finally, GCF of Fractions for 869/428, 623/648 is 1/69336.