GCF of 1335/459, 5488/8909
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1335/459, 5488/8909 i.e 1/4089231 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1335/459, 5488/8909.
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 1335/459,5488/8909?
Given fractions are 1335/459,5488/8909
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 1335/459,5488/8909, numerators are 1335,5488
Denominators are 459,8909
The GCF of 1335,5488 is 1 .
LCM of 459,8909 is 4089231.
The greatest common factor of 1335/459,5488/8909 = [GCF of 1335,5488]/[LCM of 459,8909]= 1/4089231
Therefore, the GCF of 1335/459,5488/8909 is 1/4089231.
To find the highest common factor of 1335,5488, we have to find the factors of both numbers and list the highest common factor.
The factors of 1335 are 1, 3, 5, 15, 89, 267, 445, 1335
The factors of 5488 are 1, 2, 4, 7, 8, 14, 16, 28, 49, 56, 98, 112, 196, 343, 392, 686, 784, 1372, 2744, 5488
The HCF of 1335,5488 is 1.
Lets's calculate GCF of 1335,5488
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 1335,5488 By Matching Biggest Common Factor Method
Now, list down the factors of 1335
:1,3,5,15,89,267,445,1335
Now, list down the factors of 5488
:1,2,4,7,8,14,16,28,49,56,98,112,196,343,392,686,784,1372,2744,5488
Greatest Common Factor
We found the factors 1335,5488 . The biggest common factor number is the GCF number.
So the greatest common factor 1335,5488 is 1.
Lets's calculate LCM of 459,8909
Given numbers has no common factors except 1. So, there LCM is their product i.e 4089231
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/4089231
Therefore, the GCF of Fractions 1335/459,5488/8909 is 1/4089231
Least Common Multiple of 459,8909 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 459,8909 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(459,8909) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(459,8909) x common factors =1 x 1 = 1
LCM(459,8909) = ( 459 × 8909 ) / 1
LCM(459,8909) = 4089231 / 1
LCM(459,8909) = 4089231
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FAQs on GCF of Fractions of 1335/459, 5488/8909
1. What is the HCF of 1335,5488?
The HCF of 1335,5488 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 1335/459, 5488/8909?
Answer: GCF of Numerators as per given numbers 1335/459, 5488/8909 is
GCF of Numerators i.e. for 1335,5488 is 1
LCM of denominators i.e. for 459,8909 is 4089231.
Thus, GCF of Fractions is 1/4089231.Finally, GCF of Fractions for 1335/459, 5488/8909 is 1/4089231.