Online GCD Calculator is useful to find the GCD of 280, 109, 649, 342 quickly. Get the easiest ways to solve the greatest common divisor of 280, 109, 649, 342 i.e 1 in different methods as follows.
Given Input numbers are 280, 109, 649, 342
In the factoring method, we have to find the divisors of all numbers
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 109 :
The positive integer divisors of 109 that completely divides 109 are.
1, 109
Divisors of 649 :
The positive integer divisors of 649 that completely divides 649 are.
1, 11, 59, 649
Divisors of 342 :
The positive integer divisors of 342 that completely divides 342 are.
1, 2, 3, 6, 9, 18, 19, 38, 57, 114, 171, 342
GCD of numbers is the greatest common divisor
So, the GCD (280, 109, 649, 342) = 1.
Given numbers are 280, 109, 649, 342
The list of prime factors of all numbers are
Prime factors of 280 are 2 x 2 x 2 x 5 x 7
Prime factors of 109 are 109
Prime factors of 649 are 11 x 59
Prime factors of 342 are 2 x 3 x 3 x 19
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 280, 109, 649, 342
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(280, 109) = 30520
GCD(280, 109) = ( 280 x 109 ) / 30520
= 280 / 109
= 280
Step2:
LCM(1, 649) = 649
GCD(1, 649) = ( 1 x 649 ) / 649
= 1 / 649
= 1
Step3:
LCM(1, 342) = 342
GCD(1, 342) = ( 1 x 342 ) / 342
= 1 / 342
= 1
So, Greatest Common Divisor of 280, 109, 649, 342 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 280, 109, 649, 342
The greatest common divisor of numbers 280, 109, 649, 342 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 280, 109, 649, 342 is 1.
1. What is the GCD of 280, 109, 649, 342?
GCD of given numbers 280, 109, 649, 342 is 1
2. How to calculate the greatest common divisor of 280, 109, 649, 342?
We can find the highest common divisor of 280, 109, 649, 342 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 280, 109, 649, 342 i.e 1.
3. How can I use the GCD of 280, 109, 649, 342Calculator?
Out the numbers 280, 109, 649, 342 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.