Online GCD Calculator is useful to find the GCD of 345, 177, 300, 140 quickly. Get the easiest ways to solve the greatest common divisor of 345, 177, 300, 140 i.e 1 in different methods as follows.
Given Input numbers are 345, 177, 300, 140
In the factoring method, we have to find the divisors of all numbers
Divisors of 345 :
The positive integer divisors of 345 that completely divides 345 are.
1, 3, 5, 15, 23, 69, 115, 345
Divisors of 177 :
The positive integer divisors of 177 that completely divides 177 are.
1, 3, 59, 177
Divisors of 300 :
The positive integer divisors of 300 that completely divides 300 are.
1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 25, 30, 50, 60, 75, 100, 150, 300
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 (345, 177, 300, 140) = 1.
Given numbers are 345, 177, 300, 140
The list of prime factors of all numbers are
Prime factors of 345 are 3 x 5 x 23
Prime factors of 177 are 3 x 59
Prime factors of 300 are 2 x 2 x 3 x 5 x 5
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 345, 177, 300, 140
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(345, 177) = 20355
GCD(345, 177) = ( 345 x 177 ) / 20355
= 345 / 177
= 345
Step2:
LCM(3, 300) = 300
GCD(3, 300) = ( 3 x 300 ) / 300
= 3 / 300
= 3
Step3:
LCM(3, 140) = 420
GCD(3, 140) = ( 3 x 140 ) / 420
= 3 / 140
= 3
So, Greatest Common Divisor of 345, 177, 300, 140 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 345, 177, 300, 140
The greatest common divisor of numbers 345, 177, 300, 140 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 345, 177, 300, 140 is 1.
1. What is the GCD of 345, 177, 300, 140?
GCD of given numbers 345, 177, 300, 140 is 1
2. How to calculate the greatest common divisor of 345, 177, 300, 140?
We can find the highest common divisor of 345, 177, 300, 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 345, 177, 300, 140 i.e 1.
3. How can I use the GCD of 345, 177, 300, 140Calculator?
Out the numbers 345, 177, 300, 140 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.