Online GCD Calculator is useful to find the GCD of 150, 771, 306, 175 quickly. Get the easiest ways to solve the greatest common divisor of 150, 771, 306, 175 i.e 1 in different methods as follows.
Given Input numbers are 150, 771, 306, 175
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 771 :
The positive integer divisors of 771 that completely divides 771 are.
1, 3, 257, 771
Divisors of 306 :
The positive integer divisors of 306 that completely divides 306 are.
1, 2, 3, 6, 9, 17, 18, 34, 51, 102, 153, 306
Divisors of 175 :
The positive integer divisors of 175 that completely divides 175 are.
1, 5, 7, 25, 35, 175
GCD of numbers is the greatest common divisor
So, the GCD (150, 771, 306, 175) = 1.
Given numbers are 150, 771, 306, 175
The list of prime factors of all numbers are
Prime factors of 150 are 2 x 3 x 5 x 5
Prime factors of 771 are 3 x 257
Prime factors of 306 are 2 x 3 x 3 x 17
Prime factors of 175 are 5 x 5 x 7
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 150, 771, 306, 175
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(150, 771) = 38550
GCD(150, 771) = ( 150 x 771 ) / 38550
= 150 / 771
= 150
Step2:
LCM(3, 306) = 306
GCD(3, 306) = ( 3 x 306 ) / 306
= 3 / 306
= 3
Step3:
LCM(3, 175) = 525
GCD(3, 175) = ( 3 x 175 ) / 525
= 3 / 175
= 3
So, Greatest Common Divisor of 150, 771, 306, 175 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 150, 771, 306, 175
The greatest common divisor of numbers 150, 771, 306, 175 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 150, 771, 306, 175 is 1.
1. What is the GCD of 150, 771, 306, 175?
GCD of given numbers 150, 771, 306, 175 is 1
2. How to calculate the greatest common divisor of 150, 771, 306, 175?
We can find the highest common divisor of 150, 771, 306, 175 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, 771, 306, 175 i.e 1.
3. How can I use the GCD of 150, 771, 306, 175Calculator?
Out the numbers 150, 771, 306, 175 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.