GCF of 2271/618, 2512/1884
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2271/618, 2512/1884 i.e 1/194052 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2271/618, 2512/1884.
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 2271/618,2512/1884?
Given fractions are 2271/618,2512/1884
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 2271/618,2512/1884, numerators are 2271,2512
Denominators are 618,1884
The GCF of 2271,2512 is 1 .
LCM of 618,1884 is 194052.
The greatest common factor of 2271/618,2512/1884 = [GCF of 2271,2512]/[LCM of 618,1884]= 1/194052
Therefore, the GCF of 2271/618,2512/1884 is 1/194052.
To find the highest common factor of 2271,2512, we have to find the factors of both numbers and list the highest common factor.
The factors of 2271 are 1, 3, 757, 2271
The factors of 2512 are 1, 2, 4, 8, 16, 157, 314, 628, 1256, 2512
The HCF of 2271,2512 is 1.
Lets's calculate GCF of 2271,2512
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 2271,2512 By Matching Biggest Common Factor Method
Now, list down the factors of 2271
:1,3,757,2271
Now, list down the factors of 2512
:1,2,4,8,16,157,314,628,1256,2512
Greatest Common Factor
We found the factors 2271,2512 . The biggest common factor number is the GCF number.
So the greatest common factor 2271,2512 is 1.
Lets's calculate LCM of 618,1884
| 2 | 618, 1884 |
| 3 | 309, 942 |
| 103, 314 |
∴ So the LCM of the given numbers is 2 x 3 x 103 x 314 = 194052
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/194052
Therefore, the GCF of Fractions 2271/618,2512/1884 is 1/194052
Least Common Multiple of 618,1884 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 618,1884 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(618,1884) = 6
common factors(in case of two or more numbers have common factors) = 1
GCF(618,1884) x common factors =6 x 1 = 6
LCM(618,1884) = ( 618 × 1884 ) / 6
LCM(618,1884) = 1164312 / 6
LCM(618,1884) = 194052
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FAQs on GCF of Fractions of 2271/618, 2512/1884
1. What is the HCF of 2271,2512?
The HCF of 2271,2512 is 1
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 2271/618, 2512/1884?
Answer: GCF of Numerators as per given numbers 2271/618, 2512/1884 is
GCF of Numerators i.e. for 2271,2512 is 1
LCM of denominators i.e. for 618,1884 is 194052.
Thus, GCF of Fractions is 1/194052.Finally, GCF of Fractions for 2271/618, 2512/1884 is 1/194052.