Use our free GCF of Fractions Calculator tool to compute the GCF of 621/669, 3540/7394 i.e 3/4946586 easily. The following is the detailed procedure to determine the greatest common factor of fractions 621/669, 3540/7394.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 621/669,3540/7394
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 621/669,3540/7394, numerators are 621,3540
Denominators are 669,7394
The GCF of 621,3540 is 3 .
LCM of 669,7394 is 4946586.
The greatest common factor of 621/669,3540/7394 = [GCF of 621,3540]/[LCM of 669,7394]= 3/4946586
Therefore, the GCF of 621/669,3540/7394 is 3/4946586.
To find the highest common factor of 621,3540, we have to find the factors of both numbers and list the highest common factor.
The factors of 621 are 1, 3, 9, 23, 27, 69, 207, 621
The factors of 3540 are 1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 59, 60, 118, 177, 236, 295, 354, 590, 708, 885, 1180, 1770, 3540
The HCF of 621,3540 is 3.
Lets's calculate GCF of 621,3540
3 | 621, 3540 |
207, 1180 |
∴ So the GCF of the given numbers is 3 = 3
Now, list down the factors of 621
:1,3,9,23,27,69,207,621
Now, list down the factors of 3540
:1,2,3,4,5,6,10,12,15,20,30,59,60,118,177,236,295,354,590,708,885,1180,1770,3540
Greatest Common Factor
We found the factors 621,3540 . The biggest common factor number is the GCF number.
So the greatest common factor 621,3540 is 3.
Lets's calculate LCM of 669,7394
Given numbers has no common factors except 1. So, there LCM is their product i.e 4946586
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/4946586
Therefore, the GCF of Fractions 621/669,3540/7394 is 3/4946586
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 669,7394 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(669,7394) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(669,7394) x common factors =1 x 1 = 1
LCM(669,7394) = ( 669 × 7394 ) / 1
LCM(669,7394) = 4946586 / 1
LCM(669,7394) = 4946586
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 621,3540?
The HCF of 621,3540 is 3
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 621/669, 3540/7394?
Answer: GCF of Numerators as per given numbers 621/669, 3540/7394 is
GCF of Numerators i.e. for 621,3540 is 3
LCM of denominators i.e. for 669,7394 is 4946586.
Thus, GCF of Fractions is 3/4946586.Finally, GCF of Fractions for 621/669, 3540/7394 is 3/4946586.