GCF of 2274/515, 9075/2519
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2274/515, 9075/2519 i.e 3/1297285 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2274/515, 9075/2519.
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 2274/515,9075/2519?
Given fractions are 2274/515,9075/2519
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 2274/515,9075/2519, numerators are 2274,9075
Denominators are 515,2519
The GCF of 2274,9075 is 3 .
LCM of 515,2519 is 1297285.
The greatest common factor of 2274/515,9075/2519 = [GCF of 2274,9075]/[LCM of 515,2519]= 3/1297285
Therefore, the GCF of 2274/515,9075/2519 is 3/1297285.
To find the highest common factor of 2274,9075, we have to find the factors of both numbers and list the highest common factor.
The factors of 2274 are 1, 2, 3, 6, 379, 758, 1137, 2274
The factors of 9075 are 1, 3, 5, 11, 15, 25, 33, 55, 75, 121, 165, 275, 363, 605, 825, 1815, 3025, 9075
The HCF of 2274,9075 is 3.
Lets's calculate GCF of 2274,9075
| 3 | 2274, 9075 |
| 758, 3025 |
∴ So the GCF of the given numbers is 3 = 3
Greatest Common Factor of 2274,9075 By Matching Biggest Common Factor Method
Now, list down the factors of 2274
:1,2,3,6,379,758,1137,2274
Now, list down the factors of 9075
:1,3,5,11,15,25,33,55,75,121,165,275,363,605,825,1815,3025,9075
Greatest Common Factor
We found the factors 2274,9075 . The biggest common factor number is the GCF number.
So the greatest common factor 2274,9075 is 3.
Lets's calculate LCM of 515,2519
Given numbers has no common factors except 1. So, there LCM is their product i.e 1297285
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/1297285
Therefore, the GCF of Fractions 2274/515,9075/2519 is 3/1297285
Least Common Multiple of 515,2519 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 515,2519 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(515,2519) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(515,2519) x common factors =1 x 1 = 1
LCM(515,2519) = ( 515 × 2519 ) / 1
LCM(515,2519) = 1297285 / 1
LCM(515,2519) = 1297285
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FAQs on GCF of Fractions of 2274/515, 9075/2519
1. What is the HCF of 2274,9075?
The HCF of 2274,9075 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 2274/515, 9075/2519?
Answer: GCF of Numerators as per given numbers 2274/515, 9075/2519 is
GCF of Numerators i.e. for 2274,9075 is 3
LCM of denominators i.e. for 515,2519 is 1297285.
Thus, GCF of Fractions is 3/1297285.Finally, GCF of Fractions for 2274/515, 9075/2519 is 3/1297285.