Online GCD Calculator is useful to find the GCD of 672, 142, 207, 345 quickly. Get the easiest ways to solve the greatest common divisor of 672, 142, 207, 345 i.e 1 in different methods as follows.
Given Input numbers are 672, 142, 207, 345
In the factoring method, we have to find the divisors of all numbers
Divisors of 672 :
The positive integer divisors of 672 that completely divides 672 are.
1, 2, 3, 4, 6, 7, 8, 12, 14, 16, 21, 24, 28, 32, 42, 48, 56, 84, 96, 112, 168, 224, 336, 672
Divisors of 142 :
The positive integer divisors of 142 that completely divides 142 are.
1, 2, 71, 142
Divisors of 207 :
The positive integer divisors of 207 that completely divides 207 are.
1, 3, 9, 23, 69, 207
Divisors of 345 :
The positive integer divisors of 345 that completely divides 345 are.
1, 3, 5, 15, 23, 69, 115, 345
GCD of numbers is the greatest common divisor
So, the GCD (672, 142, 207, 345) = 1.
Given numbers are 672, 142, 207, 345
The list of prime factors of all numbers are
Prime factors of 672 are 2 x 2 x 2 x 2 x 2 x 3 x 7
Prime factors of 142 are 2 x 71
Prime factors of 207 are 3 x 3 x 23
Prime factors of 345 are 3 x 5 x 23
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 672, 142, 207, 345
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(672, 142) = 47712
GCD(672, 142) = ( 672 x 142 ) / 47712
= 672 / 142
= 672
Step2:
LCM(2, 207) = 414
GCD(2, 207) = ( 2 x 207 ) / 414
= 2 / 207
= 2
Step3:
LCM(1, 345) = 345
GCD(1, 345) = ( 1 x 345 ) / 345
= 1 / 345
= 1
So, Greatest Common Divisor of 672, 142, 207, 345 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 672, 142, 207, 345
The greatest common divisor of numbers 672, 142, 207, 345 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 672, 142, 207, 345 is 1.
1. What is the GCD of 672, 142, 207, 345?
GCD of given numbers 672, 142, 207, 345 is 1
2. How to calculate the greatest common divisor of 672, 142, 207, 345?
We can find the highest common divisor of 672, 142, 207, 345 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 672, 142, 207, 345 i.e 1.
3. How can I use the GCD of 672, 142, 207, 345Calculator?
Out the numbers 672, 142, 207, 345 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.