Online GCD Calculator is useful to find the GCD of 142, 274, 280, 567 quickly. Get the easiest ways to solve the greatest common divisor of 142, 274, 280, 567 i.e 1 in different methods as follows.
Given Input numbers are 142, 274, 280, 567
In the factoring method, we have to find the divisors of all numbers
Divisors of 142 :
The positive integer divisors of 142 that completely divides 142 are.
1, 2, 71, 142
Divisors of 274 :
The positive integer divisors of 274 that completely divides 274 are.
1, 2, 137, 274
Divisors of 280 :
The positive integer divisors of 280 that completely divides 280 are.
1, 2, 4, 5, 7, 8, 10, 14, 20, 28, 35, 40, 56, 70, 140, 280
Divisors of 567 :
The positive integer divisors of 567 that completely divides 567 are.
1, 3, 7, 9, 21, 27, 63, 81, 189, 567
GCD of numbers is the greatest common divisor
So, the GCD (142, 274, 280, 567) = 1.
Given numbers are 142, 274, 280, 567
The list of prime factors of all numbers are
Prime factors of 142 are 2 x 71
Prime factors of 274 are 2 x 137
Prime factors of 280 are 2 x 2 x 2 x 5 x 7
Prime factors of 567 are 3 x 3 x 3 x 3 x 7
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 142, 274, 280, 567
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(142, 274) = 19454
GCD(142, 274) = ( 142 x 274 ) / 19454
= 142 / 274
= 142
Step2:
LCM(2, 280) = 280
GCD(2, 280) = ( 2 x 280 ) / 280
= 2 / 280
= 2
Step3:
LCM(2, 567) = 1134
GCD(2, 567) = ( 2 x 567 ) / 1134
= 2 / 567
= 2
So, Greatest Common Divisor of 142, 274, 280, 567 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 142, 274, 280, 567
The greatest common divisor of numbers 142, 274, 280, 567 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 142, 274, 280, 567 is 1.
1. What is the GCD of 142, 274, 280, 567?
GCD of given numbers 142, 274, 280, 567 is 1
2. How to calculate the greatest common divisor of 142, 274, 280, 567?
We can find the highest common divisor of 142, 274, 280, 567 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 142, 274, 280, 567 i.e 1.
3. How can I use the GCD of 142, 274, 280, 567Calculator?
Out the numbers 142, 274, 280, 567 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.