GCF of 1475/899, 2509/5156
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1475/899, 2509/5156 i.e 1/4635244 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1475/899, 2509/5156.
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 1475/899,2509/5156?
Given fractions are 1475/899,2509/5156
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 1475/899,2509/5156, numerators are 1475,2509
Denominators are 899,5156
The GCF of 1475,2509 is 1 .
LCM of 899,5156 is 4635244.
The greatest common factor of 1475/899,2509/5156 = [GCF of 1475,2509]/[LCM of 899,5156]= 1/4635244
Therefore, the GCF of 1475/899,2509/5156 is 1/4635244.
To find the highest common factor of 1475,2509, we have to find the factors of both numbers and list the highest common factor.
The factors of 1475 are 1, 5, 25, 59, 295, 1475
The factors of 2509 are 1, 13, 193, 2509
The HCF of 1475,2509 is 1.
Lets's calculate GCF of 1475,2509
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 1475,2509 By Matching Biggest Common Factor Method
Now, list down the factors of 1475
:1,5,25,59,295,1475
Now, list down the factors of 2509
:1,13,193,2509
Greatest Common Factor
We found the factors 1475,2509 . The biggest common factor number is the GCF number.
So the greatest common factor 1475,2509 is 1.
Lets's calculate LCM of 899,5156
Given numbers has no common factors except 1. So, there LCM is their product i.e 4635244
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/4635244
Therefore, the GCF of Fractions 1475/899,2509/5156 is 1/4635244
Least Common Multiple of 899,5156 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 899,5156 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(899,5156) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(899,5156) x common factors =1 x 1 = 1
LCM(899,5156) = ( 899 × 5156 ) / 1
LCM(899,5156) = 4635244 / 1
LCM(899,5156) = 4635244
GCF of Fractions Calculation Examples
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FAQs on GCF of Fractions of 1475/899, 2509/5156
1. What is the HCF of 1475,2509?
The HCF of 1475,2509 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 1475/899, 2509/5156?
Answer: GCF of Numerators as per given numbers 1475/899, 2509/5156 is
GCF of Numerators i.e. for 1475,2509 is 1
LCM of denominators i.e. for 899,5156 is 4635244.
Thus, GCF of Fractions is 1/4635244.Finally, GCF of Fractions for 1475/899, 2509/5156 is 1/4635244.