Online GCD Calculator is useful to find the GCD of 138, 169, 610, 352 quickly. Get the easiest ways to solve the greatest common divisor of 138, 169, 610, 352 i.e 1 in different methods as follows.
Given Input numbers are 138, 169, 610, 352
In the factoring method, we have to find the divisors of all numbers
Divisors of 138 :
The positive integer divisors of 138 that completely divides 138 are.
1, 2, 3, 6, 23, 46, 69, 138
Divisors of 169 :
The positive integer divisors of 169 that completely divides 169 are.
1, 13, 169
Divisors of 610 :
The positive integer divisors of 610 that completely divides 610 are.
1, 2, 5, 10, 61, 122, 305, 610
Divisors of 352 :
The positive integer divisors of 352 that completely divides 352 are.
1, 2, 4, 8, 11, 16, 22, 32, 44, 88, 176, 352
GCD of numbers is the greatest common divisor
So, the GCD (138, 169, 610, 352) = 1.
Given numbers are 138, 169, 610, 352
The list of prime factors of all numbers are
Prime factors of 138 are 2 x 3 x 23
Prime factors of 169 are 13 x 13
Prime factors of 610 are 2 x 5 x 61
Prime factors of 352 are 2 x 2 x 2 x 2 x 2 x 11
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 138, 169, 610, 352
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(138, 169) = 23322
GCD(138, 169) = ( 138 x 169 ) / 23322
= 138 / 169
= 138
Step2:
LCM(1, 610) = 610
GCD(1, 610) = ( 1 x 610 ) / 610
= 1 / 610
= 1
Step3:
LCM(1, 352) = 352
GCD(1, 352) = ( 1 x 352 ) / 352
= 1 / 352
= 1
So, Greatest Common Divisor of 138, 169, 610, 352 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 138, 169, 610, 352
The greatest common divisor of numbers 138, 169, 610, 352 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 138, 169, 610, 352 is 1.
1. What is the GCD of 138, 169, 610, 352?
GCD of given numbers 138, 169, 610, 352 is 1
2. How to calculate the greatest common divisor of 138, 169, 610, 352?
We can find the highest common divisor of 138, 169, 610, 352 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 138, 169, 610, 352 i.e 1.
3. How can I use the GCD of 138, 169, 610, 352Calculator?
Out the numbers 138, 169, 610, 352 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.