Use our free GCF of Fractions Calculator tool to compute the GCF of 46/28, 182/72, 630/647 i.e 2/326088 easily. The following is the detailed procedure to determine the greatest common factor of fractions 46/28, 182/72, 630/647.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 46/28,182/72,630/647
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 46/28,182/72,630/647, numerators are 46,182,630
Denominators are 28,72,647
The GCF of 46,182,630 is 2 .
LCM of 28,72,647 is 326088.
The greatest common factor of 46/28,182/72,630/647 = [GCF of 46,182,630]/[LCM of 28,72,647]= 2/326088
Therefore, the GCF of 46/28,182/72,630/647 is 2/326088.
To find the highest common factor of 46,182,630, we have to find the factors of both numbers and list the highest common factor.
The factors of 46 are 1, 2, 23, 46
The factors of 182 are 1, 2, 7, 13, 14, 26, 91, 182
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 HCF of 46,182,630 is 2.
Lets's calculate GCF of 46,182,630
2 | 46, 182, 630 |
23, 91, 315 |
∴ So the GCF of the given numbers is 2 = 2
Now, list down the factors of 46
:1,2,23,46
Now, list down the factors of 182
:1,2,7,13,14,26,91,182
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
Greatest Common Factor
We found the factors 46,182,630 . The biggest common factor number is the GCF number.
So the greatest common factor 46,182,630 is 2.
Lets's calculate LCM of 28,72,647
2 | 28, 72, 647 |
2 | 14, 36, 647 |
7, 18, 647 |
∴ So the LCM of the given numbers is 2 x 2 x 7 x 18 x 647 = 326088
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/326088
Therefore, the GCF of Fractions 46/28,182/72,630/647 is 2/326088
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 28,72,647 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(28,72,647) = 1
common factors(in case of two or more numbers have common factors) = 4
GCF(28,72,647) x common factors =1 x 4 = 4
LCM(28,72,647) = ( 28 × 72 × 647 ) / 4
LCM(28,72,647) = 1304352 / 4
LCM(28,72,647) = 326088
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 46,182,630?
The HCF of 46,182,630 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 46/28, 182/72, 630/647?
Answer: GCF of Numerators as per given numbers 46/28, 182/72, 630/647 is
GCF of Numerators i.e. for 46,182,630 is 2
LCM of denominators i.e. for 28,72,647 is 326088.
Thus, GCF of Fractions is 2/326088.Finally, GCF of Fractions for 46/28, 182/72, 630/647 is 2/326088.