GCF of 2250/323, 1307/3451
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2250/323, 1307/3451 i.e 1/65569 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2250/323, 1307/3451.
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 2250/323,1307/3451?
Given fractions are 2250/323,1307/3451
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 2250/323,1307/3451, numerators are 2250,1307
Denominators are 323,3451
The GCF of 2250,1307 is 1 .
LCM of 323,3451 is 65569.
The greatest common factor of 2250/323,1307/3451 = [GCF of 2250,1307]/[LCM of 323,3451]= 1/65569
Therefore, the GCF of 2250/323,1307/3451 is 1/65569.
To find the highest common factor of 2250,1307, 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 1307 are 1, 1307
The HCF of 2250,1307 is 1.
Lets's calculate GCF of 2250,1307
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 2250,1307 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 1307
:1,1307
Greatest Common Factor
We found the factors 2250,1307 . The biggest common factor number is the GCF number.
So the greatest common factor 2250,1307 is 1.
Lets's calculate LCM of 323,3451
| 17 | 323, 3451 |
| 19, 203 |
∴ So the LCM of the given numbers is 17 x 19 x 203 = 65569
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/65569
Therefore, the GCF of Fractions 2250/323,1307/3451 is 1/65569
Least Common Multiple of 323,3451 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 323,3451 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(323,3451) = 17
common factors(in case of two or more numbers have common factors) = 1
GCF(323,3451) x common factors =17 x 1 = 17
LCM(323,3451) = ( 323 × 3451 ) / 17
LCM(323,3451) = 1114673 / 17
LCM(323,3451) = 65569
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FAQs on GCF of Fractions of 2250/323, 1307/3451
1. What is the HCF of 2250,1307?
The HCF of 2250,1307 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 2250/323, 1307/3451?
Answer: GCF of Numerators as per given numbers 2250/323, 1307/3451 is
GCF of Numerators i.e. for 2250,1307 is 1
LCM of denominators i.e. for 323,3451 is 65569.
Thus, GCF of Fractions is 1/65569.Finally, GCF of Fractions for 2250/323, 1307/3451 is 1/65569.