Online GCD Calculator is useful to find the GCD of 334, 546, 662, 690 quickly. Get the easiest ways to solve the greatest common divisor of 334, 546, 662, 690 i.e 2 in different methods as follows.
Given Input numbers are 334, 546, 662, 690
In the factoring method, we have to find the divisors of all numbers
Divisors of 334 :
The positive integer divisors of 334 that completely divides 334 are.
1, 2, 167, 334
Divisors of 546 :
The positive integer divisors of 546 that completely divides 546 are.
1, 2, 3, 6, 7, 13, 14, 21, 26, 39, 42, 78, 91, 182, 273, 546
Divisors of 662 :
The positive integer divisors of 662 that completely divides 662 are.
1, 2, 331, 662
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
GCD of numbers is the greatest common divisor
So, the GCD (334, 546, 662, 690) = 2.
Given numbers are 334, 546, 662, 690
The list of prime factors of all numbers are
Prime factors of 334 are 2 x 167
Prime factors of 546 are 2 x 3 x 7 x 13
Prime factors of 662 are 2 x 331
Prime factors of 690 are 2 x 3 x 5 x 23
The highest common occurrence is 21
Therefore, GCD of 334, 546, 662, 690 is 2.
Given numbers are 334, 546, 662, 690
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(334, 546) = 91182
GCD(334, 546) = ( 334 x 546 ) / 91182
= 334 / 546
= 334
Step2:
LCM(2, 662) = 662
GCD(2, 662) = ( 2 x 662 ) / 662
= 2 / 662
= 2
Step3:
LCM(2, 690) = 690
GCD(2, 690) = ( 2 x 690 ) / 690
= 2 / 690
= 2
So, Greatest Common Divisor of 334, 546, 662, 690 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 334, 546, 662, 690
The greatest common divisor of numbers 334, 546, 662, 690 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 334, 546, 662, 690 is 2.
1. What is the GCD of 334, 546, 662, 690?
GCD of given numbers 334, 546, 662, 690 is 2
2. How to calculate the greatest common divisor of 334, 546, 662, 690?
We can find the highest common divisor of 334, 546, 662, 690 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 334, 546, 662, 690 i.e 2.
3. How can I use the GCD of 334, 546, 662, 690Calculator?
Out the numbers 334, 546, 662, 690 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.