Use our free GCF of Fractions Calculator tool to compute the GCF of 632/903, 2678/649 i.e 2/586047 easily. The following is the detailed procedure to determine the greatest common factor of fractions 632/903, 2678/649.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 632/903,2678/649
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 632/903,2678/649, numerators are 632,2678
Denominators are 903,649
The GCF of 632,2678 is 2 .
LCM of 903,649 is 586047.
The greatest common factor of 632/903,2678/649 = [GCF of 632,2678]/[LCM of 903,649]= 2/586047
Therefore, the GCF of 632/903,2678/649 is 2/586047.
To find the highest common factor of 632,2678, we have to find the factors of both numbers and list the highest common factor.
The factors of 632 are 1, 2, 4, 8, 79, 158, 316, 632
The factors of 2678 are 1, 2, 13, 26, 103, 206, 1339, 2678
The HCF of 632,2678 is 2.
Lets's calculate GCF of 632,2678
2 | 632, 2678 |
316, 1339 |
∴ So the GCF of the given numbers is 2 = 2
Now, list down the factors of 632
:1,2,4,8,79,158,316,632
Now, list down the factors of 2678
:1,2,13,26,103,206,1339,2678
Greatest Common Factor
We found the factors 632,2678 . The biggest common factor number is the GCF number.
So the greatest common factor 632,2678 is 2.
Lets's calculate LCM of 903,649
Given numbers has no common factors except 1. So, there LCM is their product i.e 586047
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/586047
Therefore, the GCF of Fractions 632/903,2678/649 is 2/586047
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 903,649 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(903,649) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(903,649) x common factors =1 x 1 = 1
LCM(903,649) = ( 903 × 649 ) / 1
LCM(903,649) = 586047 / 1
LCM(903,649) = 586047
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 632,2678?
The HCF of 632,2678 is 2
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 632/903, 2678/649?
Answer: GCF of Numerators as per given numbers 632/903, 2678/649 is
GCF of Numerators i.e. for 632,2678 is 2
LCM of denominators i.e. for 903,649 is 586047.
Thus, GCF of Fractions is 2/586047.Finally, GCF of Fractions for 632/903, 2678/649 is 2/586047.