GCF of 2244/503, 7887/5365
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2244/503, 7887/5365 i.e 33/2698595 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2244/503, 7887/5365.
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 2244/503,7887/5365?
Given fractions are 2244/503,7887/5365
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 2244/503,7887/5365, numerators are 2244,7887
Denominators are 503,5365
The GCF of 2244,7887 is 33 .
LCM of 503,5365 is 2698595.
The greatest common factor of 2244/503,7887/5365 = [GCF of 2244,7887]/[LCM of 503,5365]= 33/2698595
Therefore, the GCF of 2244/503,7887/5365 is 33/2698595.
To find the highest common factor of 2244,7887, 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 7887 are 1, 3, 11, 33, 239, 717, 2629, 7887
The HCF of 2244,7887 is 33.
Lets's calculate GCF of 2244,7887
| 3 | 2244, 7887 |
| 11 | 748, 2629 |
| 68, 239 |
∴ So the GCF of the given numbers is 3 x 11 = 33
Greatest Common Factor of 2244,7887 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 7887
:1,3,11,33,239,717,2629,7887
Greatest Common Factor
We found the factors 2244,7887 . The biggest common factor number is the GCF number.
So the greatest common factor 2244,7887 is 33.
Lets's calculate LCM of 503,5365
Given numbers has no common factors except 1. So, there LCM is their product i.e 2698595
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 33/2698595
Therefore, the GCF of Fractions 2244/503,7887/5365 is 33/2698595
Least Common Multiple of 503,5365 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 503,5365 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(503,5365) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(503,5365) x common factors =1 x 1 = 1
LCM(503,5365) = ( 503 × 5365 ) / 1
LCM(503,5365) = 2698595 / 1
LCM(503,5365) = 2698595
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FAQs on GCF of Fractions of 2244/503, 7887/5365
1. What is the HCF of 2244,7887?
The HCF of 2244,7887 is 33
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 2244/503, 7887/5365?
Answer: GCF of Numerators as per given numbers 2244/503, 7887/5365 is
GCF of Numerators i.e. for 2244,7887 is 33
LCM of denominators i.e. for 503,5365 is 2698595.
Thus, GCF of Fractions is 33/2698595.Finally, GCF of Fractions for 2244/503, 7887/5365 is 33/2698595.