GCF of 2232/905, 9756/1621
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2232/905, 9756/1621 i.e 36/1467005 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2232/905, 9756/1621.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
What is the GCF of 2232/905,9756/1621?
Given fractions are 2232/905,9756/1621
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 2232/905,9756/1621, numerators are 2232,9756
Denominators are 905,1621
The GCF of 2232,9756 is 36 .
LCM of 905,1621 is 1467005.
The greatest common factor of 2232/905,9756/1621 = [GCF of 2232,9756]/[LCM of 905,1621]= 36/1467005
Therefore, the GCF of 2232/905,9756/1621 is 36/1467005.
To find the highest common factor of 2232,9756, we have to find the factors of both numbers and list the highest common factor.
The factors of 2232 are 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 31, 36, 62, 72, 93, 124, 186, 248, 279, 372, 558, 744, 1116, 2232
The factors of 9756 are 1, 2, 3, 4, 6, 9, 12, 18, 36, 271, 542, 813, 1084, 1626, 2439, 3252, 4878, 9756
The HCF of 2232,9756 is 36.
Lets's calculate GCF of 2232,9756
| 2 | 2232, 9756 |
| 2 | 1116, 4878 |
| 3 | 558, 2439 |
| 3 | 186, 813 |
| 62, 271 |
∴ So the GCF of the given numbers is 2 x 2 x 3 x 3 = 36
Greatest Common Factor of 2232,9756 By Matching Biggest Common Factor Method
Now, list down the factors of 2232
:1,2,3,4,6,8,9,12,18,24,31,36,62,72,93,124,186,248,279,372,558,744,1116,2232
Now, list down the factors of 9756
:1,2,3,4,6,9,12,18,36,271,542,813,1084,1626,2439,3252,4878,9756
Greatest Common Factor
We found the factors 2232,9756 . The biggest common factor number is the GCF number.
So the greatest common factor 2232,9756 is 36.
Lets's calculate LCM of 905,1621
Given numbers has no common factors except 1. So, there LCM is their product i.e 1467005
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 36/1467005
Therefore, the GCF of Fractions 2232/905,9756/1621 is 36/1467005
Least Common Multiple of 905,1621 with GCF Formula
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 905,1621 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(905,1621) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(905,1621) x common factors =1 x 1 = 1
LCM(905,1621) = ( 905 × 1621 ) / 1
LCM(905,1621) = 1467005 / 1
LCM(905,1621) = 1467005
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FAQs on GCF of Fractions of 2232/905, 9756/1621
1. What is the HCF of 2232,9756?
The HCF of 2232,9756 is 36
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 2232/905, 9756/1621?
Answer: GCF of Numerators as per given numbers 2232/905, 9756/1621 is
GCF of Numerators i.e. for 2232,9756 is 36
LCM of denominators i.e. for 905,1621 is 1467005.
Thus, GCF of Fractions is 36/1467005.Finally, GCF of Fractions for 2232/905, 9756/1621 is 36/1467005.