Online GCD Calculator is useful to find the GCD of 150, 784, 683, 735 quickly. Get the easiest ways to solve the greatest common divisor of 150, 784, 683, 735 i.e 1 in different methods as follows.
Given Input numbers are 150, 784, 683, 735
In the factoring method, we have to find the divisors of all numbers
Divisors of 150 :
The positive integer divisors of 150 that completely divides 150 are.
1, 2, 3, 5, 6, 10, 15, 25, 30, 50, 75, 150
Divisors of 784 :
The positive integer divisors of 784 that completely divides 784 are.
1, 2, 4, 7, 8, 14, 16, 28, 49, 56, 98, 112, 196, 392, 784
Divisors of 683 :
The positive integer divisors of 683 that completely divides 683 are.
1, 683
Divisors of 735 :
The positive integer divisors of 735 that completely divides 735 are.
1, 3, 5, 7, 15, 21, 35, 49, 105, 147, 245, 735
GCD of numbers is the greatest common divisor
So, the GCD (150, 784, 683, 735) = 1.
Given numbers are 150, 784, 683, 735
The list of prime factors of all numbers are
Prime factors of 150 are 2 x 3 x 5 x 5
Prime factors of 784 are 2 x 2 x 2 x 2 x 7 x 7
Prime factors of 683 are 683
Prime factors of 735 are 3 x 5 x 7 x 7
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 150, 784, 683, 735
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(150, 784) = 58800
GCD(150, 784) = ( 150 x 784 ) / 58800
= 150 / 784
= 150
Step2:
LCM(2, 683) = 1366
GCD(2, 683) = ( 2 x 683 ) / 1366
= 2 / 683
= 2
Step3:
LCM(1, 735) = 735
GCD(1, 735) = ( 1 x 735 ) / 735
= 1 / 735
= 1
So, Greatest Common Divisor of 150, 784, 683, 735 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 150, 784, 683, 735
The greatest common divisor of numbers 150, 784, 683, 735 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 150, 784, 683, 735 is 1.
1. What is the GCD of 150, 784, 683, 735?
GCD of given numbers 150, 784, 683, 735 is 1
2. How to calculate the greatest common divisor of 150, 784, 683, 735?
We can find the highest common divisor of 150, 784, 683, 735 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 150, 784, 683, 735 i.e 1.
3. How can I use the GCD of 150, 784, 683, 735Calculator?
Out the numbers 150, 784, 683, 735 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.