Use our free GCF of Fractions Calculator tool to compute the GCF of 9621/890, 7383/356 i.e 3/1780 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9621/890, 7383/356.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 9621/890,7383/356
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 9621/890,7383/356, numerators are 9621,7383
Denominators are 890,356
The GCF of 9621,7383 is 3 .
LCM of 890,356 is 1780.
The greatest common factor of 9621/890,7383/356 = [GCF of 9621,7383]/[LCM of 890,356]= 3/1780
Therefore, the GCF of 9621/890,7383/356 is 3/1780.
To find the highest common factor of 9621,7383, we have to find the factors of both numbers and list the highest common factor.
The factors of 9621 are 1, 3, 9, 1069, 3207, 9621
The factors of 7383 are 1, 3, 23, 69, 107, 321, 2461, 7383
The HCF of 9621,7383 is 3.
Lets's calculate GCF of 9621,7383
3 | 9621, 7383 |
3207, 2461 |
∴ So the GCF of the given numbers is 3 = 3
Now, list down the factors of 9621
:1,3,9,1069,3207,9621
Now, list down the factors of 7383
:1,3,23,69,107,321,2461,7383
Greatest Common Factor
We found the factors 9621,7383 . The biggest common factor number is the GCF number.
So the greatest common factor 9621,7383 is 3.
Lets's calculate LCM of 890,356
2 | 890, 356 |
89 | 445, 178 |
5, 2 |
∴ So the LCM of the given numbers is 2 x 89 x 5 x 2 = 1780
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/1780
Therefore, the GCF of Fractions 9621/890,7383/356 is 3/1780
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 890,356 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(890,356) = 178
common factors(in case of two or more numbers have common factors) = 1
GCF(890,356) x common factors =178 x 1 = 178
LCM(890,356) = ( 890 × 356 ) / 178
LCM(890,356) = 316840 / 178
LCM(890,356) = 1780
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 9621,7383?
The HCF of 9621,7383 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 9621/890, 7383/356?
Answer: GCF of Numerators as per given numbers 9621/890, 7383/356 is
GCF of Numerators i.e. for 9621,7383 is 3
LCM of denominators i.e. for 890,356 is 1780.
Thus, GCF of Fractions is 3/1780.Finally, GCF of Fractions for 9621/890, 7383/356 is 3/1780.