Online GCD Calculator is useful to find the GCD of 138, 574, 802, 111 quickly. Get the easiest ways to solve the greatest common divisor of 138, 574, 802, 111 i.e 1 in different methods as follows.
Given Input numbers are 138, 574, 802, 111
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 574 :
The positive integer divisors of 574 that completely divides 574 are.
1, 2, 7, 14, 41, 82, 287, 574
Divisors of 802 :
The positive integer divisors of 802 that completely divides 802 are.
1, 2, 401, 802
Divisors of 111 :
The positive integer divisors of 111 that completely divides 111 are.
1, 3, 37, 111
GCD of numbers is the greatest common divisor
So, the GCD (138, 574, 802, 111) = 1.
Given numbers are 138, 574, 802, 111
The list of prime factors of all numbers are
Prime factors of 138 are 2 x 3 x 23
Prime factors of 574 are 2 x 7 x 41
Prime factors of 802 are 2 x 401
Prime factors of 111 are 3 x 37
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 138, 574, 802, 111
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(138, 574) = 39606
GCD(138, 574) = ( 138 x 574 ) / 39606
= 138 / 574
= 138
Step2:
LCM(2, 802) = 802
GCD(2, 802) = ( 2 x 802 ) / 802
= 2 / 802
= 2
Step3:
LCM(2, 111) = 222
GCD(2, 111) = ( 2 x 111 ) / 222
= 2 / 111
= 2
So, Greatest Common Divisor of 138, 574, 802, 111 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 138, 574, 802, 111
The greatest common divisor of numbers 138, 574, 802, 111 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 138, 574, 802, 111 is 1.
1. What is the GCD of 138, 574, 802, 111?
GCD of given numbers 138, 574, 802, 111 is 1
2. How to calculate the greatest common divisor of 138, 574, 802, 111?
We can find the highest common divisor of 138, 574, 802, 111 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, 574, 802, 111 i.e 1.
3. How can I use the GCD of 138, 574, 802, 111Calculator?
Out the numbers 138, 574, 802, 111 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.