GCF of 2505/998, 2274/2054
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2505/998, 2274/2054 i.e 3/1024946 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2505/998, 2274/2054.
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 2505/998,2274/2054?
Given fractions are 2505/998,2274/2054
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 2505/998,2274/2054, numerators are 2505,2274
Denominators are 998,2054
The GCF of 2505,2274 is 3 .
LCM of 998,2054 is 1024946.
The greatest common factor of 2505/998,2274/2054 = [GCF of 2505,2274]/[LCM of 998,2054]= 3/1024946
Therefore, the GCF of 2505/998,2274/2054 is 3/1024946.
To find the highest common factor of 2505,2274, we have to find the factors of both numbers and list the highest common factor.
The factors of 2505 are 1, 3, 5, 15, 167, 501, 835, 2505
The factors of 2274 are 1, 2, 3, 6, 379, 758, 1137, 2274
The HCF of 2505,2274 is 3.
Lets's calculate GCF of 2505,2274
| 3 | 2505, 2274 |
| 835, 758 |
∴ So the GCF of the given numbers is 3 = 3
Greatest Common Factor of 2505,2274 By Matching Biggest Common Factor Method
Now, list down the factors of 2505
:1,3,5,15,167,501,835,2505
Now, list down the factors of 2274
:1,2,3,6,379,758,1137,2274
Greatest Common Factor
We found the factors 2505,2274 . The biggest common factor number is the GCF number.
So the greatest common factor 2505,2274 is 3.
Lets's calculate LCM of 998,2054
| 2 | 998, 2054 |
| 499, 1027 |
∴ So the LCM of the given numbers is 2 x 499 x 1027 = 1024946
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/1024946
Therefore, the GCF of Fractions 2505/998,2274/2054 is 3/1024946
Least Common Multiple of 998,2054 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 998,2054 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(998,2054) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(998,2054) x common factors =2 x 1 = 2
LCM(998,2054) = ( 998 × 2054 ) / 2
LCM(998,2054) = 2049892 / 2
LCM(998,2054) = 1024946
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FAQs on GCF of Fractions of 2505/998, 2274/2054
1. What is the HCF of 2505,2274?
The HCF of 2505,2274 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 2505/998, 2274/2054?
Answer: GCF of Numerators as per given numbers 2505/998, 2274/2054 is
GCF of Numerators i.e. for 2505,2274 is 3
LCM of denominators i.e. for 998,2054 is 1024946.
Thus, GCF of Fractions is 3/1024946.Finally, GCF of Fractions for 2505/998, 2274/2054 is 3/1024946.