Online GCD Calculator is useful to find the GCD of 850, 936, 692, 138 quickly. Get the easiest ways to solve the greatest common divisor of 850, 936, 692, 138 i.e 2 in different methods as follows.
Given Input numbers are 850, 936, 692, 138
In the factoring method, we have to find the divisors of all numbers
Divisors of 850 :
The positive integer divisors of 850 that completely divides 850 are.
1, 2, 5, 10, 17, 25, 34, 50, 85, 170, 425, 850
Divisors of 936 :
The positive integer divisors of 936 that completely divides 936 are.
1, 2, 3, 4, 6, 8, 9, 12, 13, 18, 24, 26, 36, 39, 52, 72, 78, 104, 117, 156, 234, 312, 468, 936
Divisors of 692 :
The positive integer divisors of 692 that completely divides 692 are.
1, 2, 4, 173, 346, 692
Divisors of 138 :
The positive integer divisors of 138 that completely divides 138 are.
1, 2, 3, 6, 23, 46, 69, 138
GCD of numbers is the greatest common divisor
So, the GCD (850, 936, 692, 138) = 2.
Given numbers are 850, 936, 692, 138
The list of prime factors of all numbers are
Prime factors of 850 are 2 x 5 x 5 x 17
Prime factors of 936 are 2 x 2 x 2 x 3 x 3 x 13
Prime factors of 692 are 2 x 2 x 173
Prime factors of 138 are 2 x 3 x 23
The highest common occurrence is 21
Therefore, GCD of 850, 936, 692, 138 is 2.
Given numbers are 850, 936, 692, 138
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(850, 936) = 397800
GCD(850, 936) = ( 850 x 936 ) / 397800
= 850 / 936
= 850
Step2:
LCM(2, 692) = 692
GCD(2, 692) = ( 2 x 692 ) / 692
= 2 / 692
= 2
Step3:
LCM(2, 138) = 138
GCD(2, 138) = ( 2 x 138 ) / 138
= 2 / 138
= 2
So, Greatest Common Divisor of 850, 936, 692, 138 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 850, 936, 692, 138
The greatest common divisor of numbers 850, 936, 692, 138 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 850, 936, 692, 138 is 2.
1. What is the GCD of 850, 936, 692, 138?
GCD of given numbers 850, 936, 692, 138 is 2
2. How to calculate the greatest common divisor of 850, 936, 692, 138?
We can find the highest common divisor of 850, 936, 692, 138 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 850, 936, 692, 138 i.e 2.
3. How can I use the GCD of 850, 936, 692, 138Calculator?
Out the numbers 850, 936, 692, 138 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.