GCF of 5162/240, 1309/1625
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5162/240, 1309/1625 i.e 1/78000 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5162/240, 1309/1625.
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 5162/240,1309/1625?
Given fractions are 5162/240,1309/1625
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 5162/240,1309/1625, numerators are 5162,1309
Denominators are 240,1625
The GCF of 5162,1309 is 1 .
LCM of 240,1625 is 78000.
The greatest common factor of 5162/240,1309/1625 = [GCF of 5162,1309]/[LCM of 240,1625]= 1/78000
Therefore, the GCF of 5162/240,1309/1625 is 1/78000.
To find the highest common factor of 5162,1309, we have to find the factors of both numbers and list the highest common factor.
The factors of 5162 are 1, 2, 29, 58, 89, 178, 2581, 5162
The factors of 1309 are 1, 7, 11, 17, 77, 119, 187, 1309
The HCF of 5162,1309 is 1.
Lets's calculate GCF of 5162,1309
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 5162,1309 By Matching Biggest Common Factor Method
Now, list down the factors of 5162
:1,2,29,58,89,178,2581,5162
Now, list down the factors of 1309
:1,7,11,17,77,119,187,1309
Greatest Common Factor
We found the factors 5162,1309 . The biggest common factor number is the GCF number.
So the greatest common factor 5162,1309 is 1.
Lets's calculate LCM of 240,1625
| 5 | 240, 1625 |
| 48, 325 |
∴ So the LCM of the given numbers is 5 x 48 x 325 = 78000
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/78000
Therefore, the GCF of Fractions 5162/240,1309/1625 is 1/78000
Least Common Multiple of 240,1625 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 240,1625 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(240,1625) = 5
common factors(in case of two or more numbers have common factors) = 1
GCF(240,1625) x common factors =5 x 1 = 5
LCM(240,1625) = ( 240 × 1625 ) / 5
LCM(240,1625) = 390000 / 5
LCM(240,1625) = 78000
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FAQs on GCF of Fractions of 5162/240, 1309/1625
1. What is the HCF of 5162,1309?
The HCF of 5162,1309 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 5162/240, 1309/1625?
Answer: GCF of Numerators as per given numbers 5162/240, 1309/1625 is
GCF of Numerators i.e. for 5162,1309 is 1
LCM of denominators i.e. for 240,1625 is 78000.
Thus, GCF of Fractions is 1/78000.Finally, GCF of Fractions for 5162/240, 1309/1625 is 1/78000.