GCF of 2250/296, 5254/571
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2250/296, 5254/571 i.e 2/169016 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2250/296, 5254/571.
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 2250/296,5254/571?
Given fractions are 2250/296,5254/571
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 2250/296,5254/571, numerators are 2250,5254
Denominators are 296,571
The GCF of 2250,5254 is 2 .
LCM of 296,571 is 169016.
The greatest common factor of 2250/296,5254/571 = [GCF of 2250,5254]/[LCM of 296,571]= 2/169016
Therefore, the GCF of 2250/296,5254/571 is 2/169016.
To find the highest common factor of 2250,5254, we have to find the factors of both numbers and list the highest common factor.
The factors of 2250 are 1, 2, 3, 5, 6, 9, 10, 15, 18, 25, 30, 45, 50, 75, 90, 125, 150, 225, 250, 375, 450, 750, 1125, 2250
The factors of 5254 are 1, 2, 37, 71, 74, 142, 2627, 5254
The HCF of 2250,5254 is 2.
Lets's calculate GCF of 2250,5254
| 2 | 2250, 5254 |
| 1125, 2627 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 2250,5254 By Matching Biggest Common Factor Method
Now, list down the factors of 2250
:1,2,3,5,6,9,10,15,18,25,30,45,50,75,90,125,150,225,250,375,450,750,1125,2250
Now, list down the factors of 5254
:1,2,37,71,74,142,2627,5254
Greatest Common Factor
We found the factors 2250,5254 . The biggest common factor number is the GCF number.
So the greatest common factor 2250,5254 is 2.
Lets's calculate LCM of 296,571
Given numbers has no common factors except 1. So, there LCM is their product i.e 169016
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/169016
Therefore, the GCF of Fractions 2250/296,5254/571 is 2/169016
Least Common Multiple of 296,571 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 296,571 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(296,571) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(296,571) x common factors =1 x 1 = 1
LCM(296,571) = ( 296 × 571 ) / 1
LCM(296,571) = 169016 / 1
LCM(296,571) = 169016
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FAQs on GCF of Fractions of 2250/296, 5254/571
1. What is the HCF of 2250,5254?
The HCF of 2250,5254 is 2
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 2250/296, 5254/571?
Answer: GCF of Numerators as per given numbers 2250/296, 5254/571 is
GCF of Numerators i.e. for 2250,5254 is 2
LCM of denominators i.e. for 296,571 is 169016.
Thus, GCF of Fractions is 2/169016.Finally, GCF of Fractions for 2250/296, 5254/571 is 2/169016.