Online GCD Calculator is useful to find the GCD of 150, 735, 147, 928 quickly. Get the easiest ways to solve the greatest common divisor of 150, 735, 147, 928 i.e 1 in different methods as follows.
Given Input numbers are 150, 735, 147, 928
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 735 :
The positive integer divisors of 735 that completely divides 735 are.
1, 3, 5, 7, 15, 21, 35, 49, 105, 147, 245, 735
Divisors of 147 :
The positive integer divisors of 147 that completely divides 147 are.
1, 3, 7, 21, 49, 147
Divisors of 928 :
The positive integer divisors of 928 that completely divides 928 are.
1, 2, 4, 8, 16, 29, 32, 58, 116, 232, 464, 928
GCD of numbers is the greatest common divisor
So, the GCD (150, 735, 147, 928) = 1.
Given numbers are 150, 735, 147, 928
The list of prime factors of all numbers are
Prime factors of 150 are 2 x 3 x 5 x 5
Prime factors of 735 are 3 x 5 x 7 x 7
Prime factors of 147 are 3 x 7 x 7
Prime factors of 928 are 2 x 2 x 2 x 2 x 2 x 29
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 150, 735, 147, 928
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(150, 735) = 7350
GCD(150, 735) = ( 150 x 735 ) / 7350
= 150 / 735
= 150
Step2:
LCM(15, 147) = 735
GCD(15, 147) = ( 15 x 147 ) / 735
= 15 / 147
= 15
Step3:
LCM(3, 928) = 2784
GCD(3, 928) = ( 3 x 928 ) / 2784
= 3 / 928
= 3
So, Greatest Common Divisor of 150, 735, 147, 928 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 150, 735, 147, 928
The greatest common divisor of numbers 150, 735, 147, 928 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 150, 735, 147, 928 is 1.
1. What is the GCD of 150, 735, 147, 928?
GCD of given numbers 150, 735, 147, 928 is 1
2. How to calculate the greatest common divisor of 150, 735, 147, 928?
We can find the highest common divisor of 150, 735, 147, 928 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, 735, 147, 928 i.e 1.
3. How can I use the GCD of 150, 735, 147, 928Calculator?
Out the numbers 150, 735, 147, 928 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.