Online GCD Calculator is useful to find the GCD of 870, 654, 690, 738 quickly. Get the easiest ways to solve the greatest common divisor of 870, 654, 690, 738 i.e 6 in different methods as follows.
Given Input numbers are 870, 654, 690, 738
In the factoring method, we have to find the divisors of all numbers
Divisors of 870 :
The positive integer divisors of 870 that completely divides 870 are.
1, 2, 3, 5, 6, 10, 15, 29, 30, 58, 87, 145, 174, 290, 435, 870
Divisors of 654 :
The positive integer divisors of 654 that completely divides 654 are.
1, 2, 3, 6, 109, 218, 327, 654
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 738 :
The positive integer divisors of 738 that completely divides 738 are.
1, 2, 3, 6, 9, 18, 41, 82, 123, 246, 369, 738
GCD of numbers is the greatest common divisor
So, the GCD (870, 654, 690, 738) = 6.
Given numbers are 870, 654, 690, 738
The list of prime factors of all numbers are
Prime factors of 870 are 2 x 3 x 5 x 29
Prime factors of 654 are 2 x 3 x 109
Prime factors of 690 are 2 x 3 x 5 x 23
Prime factors of 738 are 2 x 3 x 3 x 41
The highest common occurrence is 21 x 31
Therefore, GCD of 870, 654, 690, 738 is 6.
Given numbers are 870, 654, 690, 738
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(870, 654) = 94830
GCD(870, 654) = ( 870 x 654 ) / 94830
= 870 / 654
= 870
Step2:
LCM(6, 690) = 690
GCD(6, 690) = ( 6 x 690 ) / 690
= 6 / 690
= 6
Step3:
LCM(6, 738) = 738
GCD(6, 738) = ( 6 x 738 ) / 738
= 6 / 738
= 6
So, Greatest Common Divisor of 870, 654, 690, 738 is 6
Here are some samples of GCD of Numbers calculations.
Given numbers are 870, 654, 690, 738
The greatest common divisor of numbers 870, 654, 690, 738 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 870, 654, 690, 738 is 6.
1. What is the GCD of 870, 654, 690, 738?
GCD of given numbers 870, 654, 690, 738 is 6
2. How to calculate the greatest common divisor of 870, 654, 690, 738?
We can find the highest common divisor of 870, 654, 690, 738 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 870, 654, 690, 738 i.e 6.
3. How can I use the GCD of 870, 654, 690, 738Calculator?
Out the numbers 870, 654, 690, 738 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.