GCF of 604/185, 205/336
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 604/185, 205/336 i.e 1/62160 easily. The following is the detailed procedure to determine the greatest common factor of fractions 604/185, 205/336.
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 604/185,205/336?
Given fractions are 604/185,205/336
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 604/185,205/336, numerators are 604,205
Denominators are 185,336
The GCF of 604,205 is 1 .
LCM of 185,336 is 62160.
The greatest common factor of 604/185,205/336 = [GCF of 604,205]/[LCM of 185,336]= 1/62160
Therefore, the GCF of 604/185,205/336 is 1/62160.
To find the highest common factor of 604,205, we have to find the factors of both numbers and list the highest common factor.
The factors of 604 are 1, 2, 4, 151, 302, 604
The factors of 205 are 1, 5, 41, 205
The HCF of 604,205 is 1.
Lets's calculate GCF of 604,205
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 604,205 By Matching Biggest Common Factor Method
Now, list down the factors of 604
:1,2,4,151,302,604
Now, list down the factors of 205
:1,5,41,205
Greatest Common Factor
We found the factors 604,205 . The biggest common factor number is the GCF number.
So the greatest common factor 604,205 is 1.
Lets's calculate LCM of 185,336
Given numbers has no common factors except 1. So, there LCM is their product i.e 62160
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/62160
Therefore, the GCF of Fractions 604/185,205/336 is 1/62160
Least Common Multiple of 185,336 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 185,336 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(185,336) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(185,336) x common factors =1 x 1 = 1
LCM(185,336) = ( 185 × 336 ) / 1
LCM(185,336) = 62160 / 1
LCM(185,336) = 62160
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FAQs on GCF of Fractions of 604/185, 205/336
1. What is the HCF of 604,205?
The HCF of 604,205 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 604/185, 205/336?
Answer: GCF of Numerators as per given numbers 604/185, 205/336 is
GCF of Numerators i.e. for 604,205 is 1
LCM of denominators i.e. for 185,336 is 62160.
Thus, GCF of Fractions is 1/62160.Finally, GCF of Fractions for 604/185, 205/336 is 1/62160.