Online GCD Calculator is useful to find the GCD of 782, 137, 874, 206 quickly. Get the easiest ways to solve the greatest common divisor of 782, 137, 874, 206 i.e 1 in different methods as follows.
Given Input numbers are 782, 137, 874, 206
In the factoring method, we have to find the divisors of all numbers
Divisors of 782 :
The positive integer divisors of 782 that completely divides 782 are.
1, 2, 17, 23, 34, 46, 391, 782
Divisors of 137 :
The positive integer divisors of 137 that completely divides 137 are.
1, 137
Divisors of 874 :
The positive integer divisors of 874 that completely divides 874 are.
1, 2, 19, 23, 38, 46, 437, 874
Divisors of 206 :
The positive integer divisors of 206 that completely divides 206 are.
1, 2, 103, 206
GCD of numbers is the greatest common divisor
So, the GCD (782, 137, 874, 206) = 1.
Given numbers are 782, 137, 874, 206
The list of prime factors of all numbers are
Prime factors of 782 are 2 x 17 x 23
Prime factors of 137 are 137
Prime factors of 874 are 2 x 19 x 23
Prime factors of 206 are 2 x 103
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 782, 137, 874, 206
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(782, 137) = 107134
GCD(782, 137) = ( 782 x 137 ) / 107134
= 782 / 137
= 782
Step2:
LCM(1, 874) = 874
GCD(1, 874) = ( 1 x 874 ) / 874
= 1 / 874
= 1
Step3:
LCM(1, 206) = 206
GCD(1, 206) = ( 1 x 206 ) / 206
= 1 / 206
= 1
So, Greatest Common Divisor of 782, 137, 874, 206 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 782, 137, 874, 206
The greatest common divisor of numbers 782, 137, 874, 206 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 782, 137, 874, 206 is 1.
1. What is the GCD of 782, 137, 874, 206?
GCD of given numbers 782, 137, 874, 206 is 1
2. How to calculate the greatest common divisor of 782, 137, 874, 206?
We can find the highest common divisor of 782, 137, 874, 206 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 782, 137, 874, 206 i.e 1.
3. How can I use the GCD of 782, 137, 874, 206Calculator?
Out the numbers 782, 137, 874, 206 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.