GCF of 5909/149, 5313/358
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5909/149, 5313/358 i.e 1/53342 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5909/149, 5313/358.
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 5909/149,5313/358?
Given fractions are 5909/149,5313/358
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 5909/149,5313/358, numerators are 5909,5313
Denominators are 149,358
The GCF of 5909,5313 is 1 .
LCM of 149,358 is 53342.
The greatest common factor of 5909/149,5313/358 = [GCF of 5909,5313]/[LCM of 149,358]= 1/53342
Therefore, the GCF of 5909/149,5313/358 is 1/53342.
To find the highest common factor of 5909,5313, we have to find the factors of both numbers and list the highest common factor.
The factors of 5909 are 1, 19, 311, 5909
The factors of 5313 are 1, 3, 7, 11, 21, 23, 33, 69, 77, 161, 231, 253, 483, 759, 1771, 5313
The HCF of 5909,5313 is 1.
Lets's calculate GCF of 5909,5313
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 5909,5313 By Matching Biggest Common Factor Method
Now, list down the factors of 5909
:1,19,311,5909
Now, list down the factors of 5313
:1,3,7,11,21,23,33,69,77,161,231,253,483,759,1771,5313
Greatest Common Factor
We found the factors 5909,5313 . The biggest common factor number is the GCF number.
So the greatest common factor 5909,5313 is 1.
Lets's calculate LCM of 149,358
Given numbers has no common factors except 1. So, there LCM is their product i.e 53342
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/53342
Therefore, the GCF of Fractions 5909/149,5313/358 is 1/53342
Least Common Multiple of 149,358 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 149,358 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(149,358) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(149,358) x common factors =1 x 1 = 1
LCM(149,358) = ( 149 × 358 ) / 1
LCM(149,358) = 53342 / 1
LCM(149,358) = 53342
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FAQs on GCF of Fractions of 5909/149, 5313/358
1. What is the HCF of 5909,5313?
The HCF of 5909,5313 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 5909/149, 5313/358?
Answer: GCF of Numerators as per given numbers 5909/149, 5313/358 is
GCF of Numerators i.e. for 5909,5313 is 1
LCM of denominators i.e. for 149,358 is 53342.
Thus, GCF of Fractions is 1/53342.Finally, GCF of Fractions for 5909/149, 5313/358 is 1/53342.