GCF of 2244/905, 3872/554
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2244/905, 3872/554 i.e 44/501370 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2244/905, 3872/554.
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 2244/905,3872/554?
Given fractions are 2244/905,3872/554
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 2244/905,3872/554, numerators are 2244,3872
Denominators are 905,554
The GCF of 2244,3872 is 44 .
LCM of 905,554 is 501370.
The greatest common factor of 2244/905,3872/554 = [GCF of 2244,3872]/[LCM of 905,554]= 44/501370
Therefore, the GCF of 2244/905,3872/554 is 44/501370.
To find the highest common factor of 2244,3872, we have to find the factors of both numbers and list the highest common factor.
The factors of 2244 are 1, 2, 3, 4, 6, 11, 12, 17, 22, 33, 34, 44, 51, 66, 68, 102, 132, 187, 204, 374, 561, 748, 1122, 2244
The factors of 3872 are 1, 2, 4, 8, 11, 16, 22, 32, 44, 88, 121, 176, 242, 352, 484, 968, 1936, 3872
The HCF of 2244,3872 is 44.
Lets's calculate GCF of 2244,3872
| 2 | 2244, 3872 |
| 2 | 1122, 1936 |
| 11 | 561, 968 |
| 51, 88 |
∴ So the GCF of the given numbers is 2 x 2 x 11 = 44
Greatest Common Factor of 2244,3872 By Matching Biggest Common Factor Method
Now, list down the factors of 2244
:1,2,3,4,6,11,12,17,22,33,34,44,51,66,68,102,132,187,204,374,561,748,1122,2244
Now, list down the factors of 3872
:1,2,4,8,11,16,22,32,44,88,121,176,242,352,484,968,1936,3872
Greatest Common Factor
We found the factors 2244,3872 . The biggest common factor number is the GCF number.
So the greatest common factor 2244,3872 is 44.
Lets's calculate LCM of 905,554
Given numbers has no common factors except 1. So, there LCM is their product i.e 501370
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 44/501370
Therefore, the GCF of Fractions 2244/905,3872/554 is 44/501370
Least Common Multiple of 905,554 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 905,554 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(905,554) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(905,554) x common factors =1 x 1 = 1
LCM(905,554) = ( 905 × 554 ) / 1
LCM(905,554) = 501370 / 1
LCM(905,554) = 501370
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FAQs on GCF of Fractions of 2244/905, 3872/554
1. What is the HCF of 2244,3872?
The HCF of 2244,3872 is 44
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 2244/905, 3872/554?
Answer: GCF of Numerators as per given numbers 2244/905, 3872/554 is
GCF of Numerators i.e. for 2244,3872 is 44
LCM of denominators i.e. for 905,554 is 501370.
Thus, GCF of Fractions is 44/501370.Finally, GCF of Fractions for 2244/905, 3872/554 is 44/501370.