Use our free GCF of Fractions Calculator tool to compute the GCF of 4410/690, 9432/2271 i.e 18/522330 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4410/690, 9432/2271.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 4410/690,9432/2271
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 4410/690,9432/2271, numerators are 4410,9432
Denominators are 690,2271
The GCF of 4410,9432 is 18 .
LCM of 690,2271 is 522330.
The greatest common factor of 4410/690,9432/2271 = [GCF of 4410,9432]/[LCM of 690,2271]= 18/522330
Therefore, the GCF of 4410/690,9432/2271 is 18/522330.
To find the highest common factor of 4410,9432, we have to find the factors of both numbers and list the highest common factor.
The factors of 4410 are 1, 2, 3, 5, 6, 7, 9, 10, 14, 15, 18, 21, 30, 35, 42, 45, 49, 63, 70, 90, 98, 105, 126, 147, 210, 245, 294, 315, 441, 490, 630, 735, 882, 1470, 2205, 4410
The factors of 9432 are 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72, 131, 262, 393, 524, 786, 1048, 1179, 1572, 2358, 3144, 4716, 9432
The HCF of 4410,9432 is 18.
Lets's calculate GCF of 4410,9432
2 | 4410, 9432 |
3 | 2205, 4716 |
3 | 735, 1572 |
245, 524 |
∴ So the GCF of the given numbers is 2 x 3 x 3 = 18
Now, list down the factors of 4410
:1,2,3,5,6,7,9,10,14,15,18,21,30,35,42,45,49,63,70,90,98,105,126,147,210,245,294,315,441,490,630,735,882,1470,2205,4410
Now, list down the factors of 9432
:1,2,3,4,6,8,9,12,18,24,36,72,131,262,393,524,786,1048,1179,1572,2358,3144,4716,9432
Greatest Common Factor
We found the factors 4410,9432 . The biggest common factor number is the GCF number.
So the greatest common factor 4410,9432 is 18.
Lets's calculate LCM of 690,2271
3 | 690, 2271 |
230, 757 |
∴ So the LCM of the given numbers is 3 x 230 x 757 = 522330
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 18/522330
Therefore, the GCF of Fractions 4410/690,9432/2271 is 18/522330
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 690,2271 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(690,2271) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(690,2271) x common factors =3 x 1 = 3
LCM(690,2271) = ( 690 × 2271 ) / 3
LCM(690,2271) = 1566990 / 3
LCM(690,2271) = 522330
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 4410,9432?
The HCF of 4410,9432 is 18
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 4410/690, 9432/2271?
Answer: GCF of Numerators as per given numbers 4410/690, 9432/2271 is
GCF of Numerators i.e. for 4410,9432 is 18
LCM of denominators i.e. for 690,2271 is 522330.
Thus, GCF of Fractions is 18/522330.Finally, GCF of Fractions for 4410/690, 9432/2271 is 18/522330.