Online GCD Calculator is useful to find the GCD of 600, 669, 927, 702 quickly. Get the easiest ways to solve the greatest common divisor of 600, 669, 927, 702 i.e 3 in different methods as follows.
Given Input numbers are 600, 669, 927, 702
In the factoring method, we have to find the divisors of all numbers
Divisors of 600 :
The positive integer divisors of 600 that completely divides 600 are.
1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 25, 30, 40, 50, 60, 75, 100, 120, 150, 200, 300, 600
Divisors of 669 :
The positive integer divisors of 669 that completely divides 669 are.
1, 3, 223, 669
Divisors of 927 :
The positive integer divisors of 927 that completely divides 927 are.
1, 3, 9, 103, 309, 927
Divisors of 702 :
The positive integer divisors of 702 that completely divides 702 are.
1, 2, 3, 6, 9, 13, 18, 26, 27, 39, 54, 78, 117, 234, 351, 702
GCD of numbers is the greatest common divisor
So, the GCD (600, 669, 927, 702) = 3.
Given numbers are 600, 669, 927, 702
The list of prime factors of all numbers are
Prime factors of 600 are 2 x 2 x 2 x 3 x 5 x 5
Prime factors of 669 are 3 x 223
Prime factors of 927 are 3 x 3 x 103
Prime factors of 702 are 2 x 3 x 3 x 3 x 13
The highest common occurrence is 31
Therefore, GCD of 600, 669, 927, 702 is 3.
Given numbers are 600, 669, 927, 702
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(600, 669) = 133800
GCD(600, 669) = ( 600 x 669 ) / 133800
= 600 / 669
= 600
Step2:
LCM(3, 927) = 927
GCD(3, 927) = ( 3 x 927 ) / 927
= 3 / 927
= 3
Step3:
LCM(3, 702) = 702
GCD(3, 702) = ( 3 x 702 ) / 702
= 3 / 702
= 3
So, Greatest Common Divisor of 600, 669, 927, 702 is 3
Here are some samples of GCD of Numbers calculations.
Given numbers are 600, 669, 927, 702
The greatest common divisor of numbers 600, 669, 927, 702 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 600, 669, 927, 702 is 3.
1. What is the GCD of 600, 669, 927, 702?
GCD of given numbers 600, 669, 927, 702 is 3
2. How to calculate the greatest common divisor of 600, 669, 927, 702?
We can find the highest common divisor of 600, 669, 927, 702 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 600, 669, 927, 702 i.e 3.
3. How can I use the GCD of 600, 669, 927, 702Calculator?
Out the numbers 600, 669, 927, 702 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.