Online GCD Calculator is useful to find the GCD of 690, 936, 548, 710 quickly. Get the easiest ways to solve the greatest common divisor of 690, 936, 548, 710 i.e 2 in different methods as follows.
Given Input numbers are 690, 936, 548, 710
In the factoring method, we have to find the divisors of all numbers
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 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 548 :
The positive integer divisors of 548 that completely divides 548 are.
1, 2, 4, 137, 274, 548
Divisors of 710 :
The positive integer divisors of 710 that completely divides 710 are.
1, 2, 5, 10, 71, 142, 355, 710
GCD of numbers is the greatest common divisor
So, the GCD (690, 936, 548, 710) = 2.
Given numbers are 690, 936, 548, 710
The list of prime factors of all numbers are
Prime factors of 690 are 2 x 3 x 5 x 23
Prime factors of 936 are 2 x 2 x 2 x 3 x 3 x 13
Prime factors of 548 are 2 x 2 x 137
Prime factors of 710 are 2 x 5 x 71
The highest common occurrence is 21
Therefore, GCD of 690, 936, 548, 710 is 2.
Given numbers are 690, 936, 548, 710
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(690, 936) = 107640
GCD(690, 936) = ( 690 x 936 ) / 107640
= 690 / 936
= 690
Step2:
LCM(6, 548) = 1644
GCD(6, 548) = ( 6 x 548 ) / 1644
= 6 / 548
= 6
Step3:
LCM(2, 710) = 710
GCD(2, 710) = ( 2 x 710 ) / 710
= 2 / 710
= 2
So, Greatest Common Divisor of 690, 936, 548, 710 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 690, 936, 548, 710
The greatest common divisor of numbers 690, 936, 548, 710 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 690, 936, 548, 710 is 2.
1. What is the GCD of 690, 936, 548, 710?
GCD of given numbers 690, 936, 548, 710 is 2
2. How to calculate the greatest common divisor of 690, 936, 548, 710?
We can find the highest common divisor of 690, 936, 548, 710 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 690, 936, 548, 710 i.e 2.
3. How can I use the GCD of 690, 936, 548, 710Calculator?
Out the numbers 690, 936, 548, 710 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.