Online GCD Calculator is useful to find the GCD of 309, 476, 492, 140 quickly. Get the easiest ways to solve the greatest common divisor of 309, 476, 492, 140 i.e 1 in different methods as follows.
Given Input numbers are 309, 476, 492, 140
In the factoring method, we have to find the divisors of all numbers
Divisors of 309 :
The positive integer divisors of 309 that completely divides 309 are.
1, 3, 103, 309
Divisors of 476 :
The positive integer divisors of 476 that completely divides 476 are.
1, 2, 4, 7, 14, 17, 28, 34, 68, 119, 238, 476
Divisors of 492 :
The positive integer divisors of 492 that completely divides 492 are.
1, 2, 3, 4, 6, 12, 41, 82, 123, 164, 246, 492
Divisors of 140 :
The positive integer divisors of 140 that completely divides 140 are.
1, 2, 4, 5, 7, 10, 14, 20, 28, 35, 70, 140
GCD of numbers is the greatest common divisor
So, the GCD (309, 476, 492, 140) = 1.
Given numbers are 309, 476, 492, 140
The list of prime factors of all numbers are
Prime factors of 309 are 3 x 103
Prime factors of 476 are 2 x 2 x 7 x 17
Prime factors of 492 are 2 x 2 x 3 x 41
Prime factors of 140 are 2 x 2 x 5 x 7
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 309, 476, 492, 140
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(309, 476) = 147084
GCD(309, 476) = ( 309 x 476 ) / 147084
= 309 / 476
= 309
Step2:
LCM(1, 492) = 492
GCD(1, 492) = ( 1 x 492 ) / 492
= 1 / 492
= 1
Step3:
LCM(1, 140) = 140
GCD(1, 140) = ( 1 x 140 ) / 140
= 1 / 140
= 1
So, Greatest Common Divisor of 309, 476, 492, 140 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 309, 476, 492, 140
The greatest common divisor of numbers 309, 476, 492, 140 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 309, 476, 492, 140 is 1.
1. What is the GCD of 309, 476, 492, 140?
GCD of given numbers 309, 476, 492, 140 is 1
2. How to calculate the greatest common divisor of 309, 476, 492, 140?
We can find the highest common divisor of 309, 476, 492, 140 easily using the prime factorization method. Just list the prime factors of all numbers and pick the highest common factor which is the GCD of 309, 476, 492, 140 i.e 1.
3. How can I use the GCD of 309, 476, 492, 140Calculator?
Out the numbers 309, 476, 492, 140 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.