GCF of 2509/505, 9052/371
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2509/505, 9052/371 i.e 1/187355 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2509/505, 9052/371.
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 2509/505,9052/371?
Given fractions are 2509/505,9052/371
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 2509/505,9052/371, numerators are 2509,9052
Denominators are 505,371
The GCF of 2509,9052 is 1 .
LCM of 505,371 is 187355.
The greatest common factor of 2509/505,9052/371 = [GCF of 2509,9052]/[LCM of 505,371]= 1/187355
Therefore, the GCF of 2509/505,9052/371 is 1/187355.
To find the highest common factor of 2509,9052, we have to find the factors of both numbers and list the highest common factor.
The factors of 2509 are 1, 13, 193, 2509
The factors of 9052 are 1, 2, 4, 31, 62, 73, 124, 146, 292, 2263, 4526, 9052
The HCF of 2509,9052 is 1.
Lets's calculate GCF of 2509,9052
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 2509,9052 By Matching Biggest Common Factor Method
Now, list down the factors of 2509
:1,13,193,2509
Now, list down the factors of 9052
:1,2,4,31,62,73,124,146,292,2263,4526,9052
Greatest Common Factor
We found the factors 2509,9052 . The biggest common factor number is the GCF number.
So the greatest common factor 2509,9052 is 1.
Lets's calculate LCM of 505,371
Given numbers has no common factors except 1. So, there LCM is their product i.e 187355
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/187355
Therefore, the GCF of Fractions 2509/505,9052/371 is 1/187355
Least Common Multiple of 505,371 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 505,371 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(505,371) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(505,371) x common factors =1 x 1 = 1
LCM(505,371) = ( 505 × 371 ) / 1
LCM(505,371) = 187355 / 1
LCM(505,371) = 187355
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FAQs on GCF of Fractions of 2509/505, 9052/371
1. What is the HCF of 2509,9052?
The HCF of 2509,9052 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 2509/505, 9052/371?
Answer: GCF of Numerators as per given numbers 2509/505, 9052/371 is
GCF of Numerators i.e. for 2509,9052 is 1
LCM of denominators i.e. for 505,371 is 187355.
Thus, GCF of Fractions is 1/187355.Finally, GCF of Fractions for 2509/505, 9052/371 is 1/187355.