Online GCD Calculator is useful to find the GCD of 374, 559, 280, 142 quickly. Get the easiest ways to solve the greatest common divisor of 374, 559, 280, 142 i.e 1 in different methods as follows.
Given Input numbers are 374, 559, 280, 142
In the factoring method, we have to find the divisors of all numbers
Divisors of 374 :
The positive integer divisors of 374 that completely divides 374 are.
1, 2, 11, 17, 22, 34, 187, 374
Divisors of 559 :
The positive integer divisors of 559 that completely divides 559 are.
1, 13, 43, 559
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 142 :
The positive integer divisors of 142 that completely divides 142 are.
1, 2, 71, 142
GCD of numbers is the greatest common divisor
So, the GCD (374, 559, 280, 142) = 1.
Given numbers are 374, 559, 280, 142
The list of prime factors of all numbers are
Prime factors of 374 are 2 x 11 x 17
Prime factors of 559 are 13 x 43
Prime factors of 280 are 2 x 2 x 2 x 5 x 7
Prime factors of 142 are 2 x 71
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 374, 559, 280, 142
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(374, 559) = 209066
GCD(374, 559) = ( 374 x 559 ) / 209066
= 374 / 559
= 374
Step2:
LCM(1, 280) = 280
GCD(1, 280) = ( 1 x 280 ) / 280
= 1 / 280
= 1
Step3:
LCM(1, 142) = 142
GCD(1, 142) = ( 1 x 142 ) / 142
= 1 / 142
= 1
So, Greatest Common Divisor of 374, 559, 280, 142 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 374, 559, 280, 142
The greatest common divisor of numbers 374, 559, 280, 142 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 374, 559, 280, 142 is 1.
1. What is the GCD of 374, 559, 280, 142?
GCD of given numbers 374, 559, 280, 142 is 1
2. How to calculate the greatest common divisor of 374, 559, 280, 142?
We can find the highest common divisor of 374, 559, 280, 142 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 374, 559, 280, 142 i.e 1.
3. How can I use the GCD of 374, 559, 280, 142Calculator?
Out the numbers 374, 559, 280, 142 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.