Use our free GCF of Fractions Calculator tool to compute the GCF of 630/317, 567/466 i.e 63/147722 easily. The following is the detailed procedure to determine the greatest common factor of fractions 630/317, 567/466.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 630/317,567/466
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 630/317,567/466, numerators are 630,567
Denominators are 317,466
The GCF of 630,567 is 63 .
LCM of 317,466 is 147722.
The greatest common factor of 630/317,567/466 = [GCF of 630,567]/[LCM of 317,466]= 63/147722
Therefore, the GCF of 630/317,567/466 is 63/147722.
To find the highest common factor of 630,567, we have to find the factors of both numbers and list the highest common factor.
The factors of 630 are 1, 2, 3, 5, 6, 7, 9, 10, 14, 15, 18, 21, 30, 35, 42, 45, 63, 70, 90, 105, 126, 210, 315, 630
The factors of 567 are 1, 3, 7, 9, 21, 27, 63, 81, 189, 567
The HCF of 630,567 is 63.
Lets's calculate GCF of 630,567
3 | 630, 567 |
3 | 210, 189 |
7 | 70, 63 |
10, 9 |
∴ So the GCF of the given numbers is 3 x 3 x 7 = 63
Now, list down the factors of 630
:1,2,3,5,6,7,9,10,14,15,18,21,30,35,42,45,63,70,90,105,126,210,315,630
Now, list down the factors of 567
:1,3,7,9,21,27,63,81,189,567
Greatest Common Factor
We found the factors 630,567 . The biggest common factor number is the GCF number.
So the greatest common factor 630,567 is 63.
Lets's calculate LCM of 317,466
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 = 63/147722
Therefore, the GCF of Fractions 630/317,567/466 is 63/147722
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 317,466 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(317,466) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(317,466) x common factors =1 x 1 = 1
LCM(317,466) = ( 317 × 466 ) / 1
LCM(317,466) = 147722 / 1
LCM(317,466) = 147722
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 630,567?
The HCF of 630,567 is 63
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 630/317, 567/466?
Answer: GCF of Numerators as per given numbers 630/317, 567/466 is
GCF of Numerators i.e. for 630,567 is 63
LCM of denominators i.e. for 317,466 is 147722.
Thus, GCF of Fractions is 63/147722.Finally, GCF of Fractions for 630/317, 567/466 is 63/147722.