GCF of 18/301, 625/933, 936/613
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 18/301, 625/933, 936/613 i.e 1/172150629 easily. The following is the detailed procedure to determine the greatest common factor of fractions 18/301, 625/933, 936/613.
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 18/301,625/933,936/613?
Given fractions are 18/301,625/933,936/613
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 18/301,625/933,936/613, numerators are 18,625,936
Denominators are 301,933,613
The GCF of 18,625,936 is 1 .
LCM of 301,933,613 is 172150629.
The greatest common factor of 18/301,625/933,936/613 = [GCF of 18,625,936]/[LCM of 301,933,613]= 1/172150629
Therefore, the GCF of 18/301,625/933,936/613 is 1/172150629.
To find the highest common factor of 18,625,936, we have to find the factors of both numbers and list the highest common factor.
The factors of 18 are 1, 2, 3, 6, 9, 18
The factors of 625 are 1, 5, 25, 125, 625
The factors of 936 are 1, 2, 3, 4, 6, 8, 9, 12, 13, 18, 24, 26, 36, 39, 52, 72, 78, 104, 117, 156, 234, 312, 468, 936
The HCF of 18,625,936 is 1.
Lets's calculate GCF of 18,625,936
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 18,625,936 By Matching Biggest Common Factor Method
Now, list down the factors of 18
:1,2,3,6,9,18
Now, list down the factors of 625
:1,5,25,125,625
Now, list down the factors of 936
:1,2,3,4,6,8,9,12,13,18,24,26,36,39,52,72,78,104,117,156,234,312,468,936
Greatest Common Factor
We found the factors 18,625,936 . The biggest common factor number is the GCF number.
So the greatest common factor 18,625,936 is 1.
Lets's calculate LCM of 301,933,613
Given numbers has no common factors except 1. So, there LCM is their product i.e 172150629
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/172150629
Therefore, the GCF of Fractions 18/301,625/933,936/613 is 1/172150629
Least Common Multiple of 301,933,613 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 301,933,613 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(301,933,613) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(301,933,613) x common factors =1 x 1 = 1
LCM(301,933,613) = ( 301 × 933 × 613 ) / 1
LCM(301,933,613) = 172150629 / 1
LCM(301,933,613) = 172150629
GCF of Fractions Calculation Examples
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FAQs on GCF of Fractions of 18/301, 625/933, 936/613
1. What is the HCF of 18,625,936?
The HCF of 18,625,936 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 18/301, 625/933, 936/613?
Answer: GCF of Numerators as per given numbers 18/301, 625/933, 936/613 is
GCF of Numerators i.e. for 18,625,936 is 1
LCM of denominators i.e. for 301,933,613 is 172150629.
Thus, GCF of Fractions is 1/172150629.Finally, GCF of Fractions for 18/301, 625/933, 936/613 is 1/172150629.