GCF of 2371/625, 9309/650
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2371/625, 9309/650 i.e 1/16250 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2371/625, 9309/650.
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 2371/625,9309/650?
Given fractions are 2371/625,9309/650
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 2371/625,9309/650, numerators are 2371,9309
Denominators are 625,650
The GCF of 2371,9309 is 1 .
LCM of 625,650 is 16250.
The greatest common factor of 2371/625,9309/650 = [GCF of 2371,9309]/[LCM of 625,650]= 1/16250
Therefore, the GCF of 2371/625,9309/650 is 1/16250.
To find the highest common factor of 2371,9309, we have to find the factors of both numbers and list the highest common factor.
The factors of 2371 are 1, 2371
The factors of 9309 are 1, 3, 29, 87, 107, 321, 3103, 9309
The HCF of 2371,9309 is 1.
Lets's calculate GCF of 2371,9309
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 2371,9309 By Matching Biggest Common Factor Method
Now, list down the factors of 2371
:1,2371
Now, list down the factors of 9309
:1,3,29,87,107,321,3103,9309
Greatest Common Factor
We found the factors 2371,9309 . The biggest common factor number is the GCF number.
So the greatest common factor 2371,9309 is 1.
Lets's calculate LCM of 625,650
| 5 | 625, 650 |
| 5 | 125, 130 |
| 25, 26 |
∴ So the LCM of the given numbers is 5 x 5 x 25 x 26 = 16250
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/16250
Therefore, the GCF of Fractions 2371/625,9309/650 is 1/16250
Least Common Multiple of 625,650 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 625,650 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(625,650) = 25
common factors(in case of two or more numbers have common factors) = 1
GCF(625,650) x common factors =25 x 1 = 25
LCM(625,650) = ( 625 × 650 ) / 25
LCM(625,650) = 406250 / 25
LCM(625,650) = 16250
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FAQs on GCF of Fractions of 2371/625, 9309/650
1. What is the HCF of 2371,9309?
The HCF of 2371,9309 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 2371/625, 9309/650?
Answer: GCF of Numerators as per given numbers 2371/625, 9309/650 is
GCF of Numerators i.e. for 2371,9309 is 1
LCM of denominators i.e. for 625,650 is 16250.
Thus, GCF of Fractions is 1/16250.Finally, GCF of Fractions for 2371/625, 9309/650 is 1/16250.