Online GCD Calculator is useful to find the GCD of 102, 690, 156, 654 quickly. Get the easiest ways to solve the greatest common divisor of 102, 690, 156, 654 i.e 6 in different methods as follows.
Given Input numbers are 102, 690, 156, 654
In the factoring method, we have to find the divisors of all numbers
Divisors of 102 :
The positive integer divisors of 102 that completely divides 102 are.
1, 2, 3, 6, 17, 34, 51, 102
Divisors of 690 :
The positive integer divisors of 690 that completely divides 690 are.
1, 2, 3, 5, 6, 10, 15, 23, 30, 46, 69, 115, 138, 230, 345, 690
Divisors of 156 :
The positive integer divisors of 156 that completely divides 156 are.
1, 2, 3, 4, 6, 12, 13, 26, 39, 52, 78, 156
Divisors of 654 :
The positive integer divisors of 654 that completely divides 654 are.
1, 2, 3, 6, 109, 218, 327, 654
GCD of numbers is the greatest common divisor
So, the GCD (102, 690, 156, 654) = 6.
Given numbers are 102, 690, 156, 654
The list of prime factors of all numbers are
Prime factors of 102 are 2 x 3 x 17
Prime factors of 690 are 2 x 3 x 5 x 23
Prime factors of 156 are 2 x 2 x 3 x 13
Prime factors of 654 are 2 x 3 x 109
The highest common occurrence is 21 x 31
Therefore, GCD of 102, 690, 156, 654 is 6.
Given numbers are 102, 690, 156, 654
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(102, 690) = 11730
GCD(102, 690) = ( 102 x 690 ) / 11730
= 102 / 690
= 102
Step2:
LCM(6, 156) = 156
GCD(6, 156) = ( 6 x 156 ) / 156
= 6 / 156
= 6
Step3:
LCM(6, 654) = 654
GCD(6, 654) = ( 6 x 654 ) / 654
= 6 / 654
= 6
So, Greatest Common Divisor of 102, 690, 156, 654 is 6
Here are some samples of GCD of Numbers calculations.
Given numbers are 102, 690, 156, 654
The greatest common divisor of numbers 102, 690, 156, 654 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 102, 690, 156, 654 is 6.
1. What is the GCD of 102, 690, 156, 654?
GCD of given numbers 102, 690, 156, 654 is 6
2. How to calculate the greatest common divisor of 102, 690, 156, 654?
We can find the highest common divisor of 102, 690, 156, 654 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 102, 690, 156, 654 i.e 6.
3. How can I use the GCD of 102, 690, 156, 654Calculator?
Out the numbers 102, 690, 156, 654 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.