Online GCD Calculator is useful to find the GCD of 350, 756, 654, 662 quickly. Get the easiest ways to solve the greatest common divisor of 350, 756, 654, 662 i.e 2 in different methods as follows.
Given Input numbers are 350, 756, 654, 662
In the factoring method, we have to find the divisors of all numbers
Divisors of 350 :
The positive integer divisors of 350 that completely divides 350 are.
1, 2, 5, 7, 10, 14, 25, 35, 50, 70, 175, 350
Divisors of 756 :
The positive integer divisors of 756 that completely divides 756 are.
1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 27, 28, 36, 42, 54, 63, 84, 108, 126, 189, 252, 378, 756
Divisors of 654 :
The positive integer divisors of 654 that completely divides 654 are.
1, 2, 3, 6, 109, 218, 327, 654
Divisors of 662 :
The positive integer divisors of 662 that completely divides 662 are.
1, 2, 331, 662
GCD of numbers is the greatest common divisor
So, the GCD (350, 756, 654, 662) = 2.
Given numbers are 350, 756, 654, 662
The list of prime factors of all numbers are
Prime factors of 350 are 2 x 5 x 5 x 7
Prime factors of 756 are 2 x 2 x 3 x 3 x 3 x 7
Prime factors of 654 are 2 x 3 x 109
Prime factors of 662 are 2 x 331
The highest common occurrence is 21
Therefore, GCD of 350, 756, 654, 662 is 2.
Given numbers are 350, 756, 654, 662
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(350, 756) = 18900
GCD(350, 756) = ( 350 x 756 ) / 18900
= 350 / 756
= 350
Step2:
LCM(14, 654) = 4578
GCD(14, 654) = ( 14 x 654 ) / 4578
= 14 / 654
= 14
Step3:
LCM(2, 662) = 662
GCD(2, 662) = ( 2 x 662 ) / 662
= 2 / 662
= 2
So, Greatest Common Divisor of 350, 756, 654, 662 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 350, 756, 654, 662
The greatest common divisor of numbers 350, 756, 654, 662 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 350, 756, 654, 662 is 2.
1. What is the GCD of 350, 756, 654, 662?
GCD of given numbers 350, 756, 654, 662 is 2
2. How to calculate the greatest common divisor of 350, 756, 654, 662?
We can find the highest common divisor of 350, 756, 654, 662 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 350, 756, 654, 662 i.e 2.
3. How can I use the GCD of 350, 756, 654, 662Calculator?
Out the numbers 350, 756, 654, 662 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.