Online GCD Calculator is useful to find the GCD of 150, 705, 142, 635 quickly. Get the easiest ways to solve the greatest common divisor of 150, 705, 142, 635 i.e 1 in different methods as follows.
Given Input numbers are 150, 705, 142, 635
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 705 :
The positive integer divisors of 705 that completely divides 705 are.
1, 3, 5, 15, 47, 141, 235, 705
Divisors of 142 :
The positive integer divisors of 142 that completely divides 142 are.
1, 2, 71, 142
Divisors of 635 :
The positive integer divisors of 635 that completely divides 635 are.
1, 5, 127, 635
GCD of numbers is the greatest common divisor
So, the GCD (150, 705, 142, 635) = 1.
Given numbers are 150, 705, 142, 635
The list of prime factors of all numbers are
Prime factors of 150 are 2 x 3 x 5 x 5
Prime factors of 705 are 3 x 5 x 47
Prime factors of 142 are 2 x 71
Prime factors of 635 are 5 x 127
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 150, 705, 142, 635
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(150, 705) = 7050
GCD(150, 705) = ( 150 x 705 ) / 7050
= 150 / 705
= 150
Step2:
LCM(15, 142) = 2130
GCD(15, 142) = ( 15 x 142 ) / 2130
= 15 / 142
= 15
Step3:
LCM(1, 635) = 635
GCD(1, 635) = ( 1 x 635 ) / 635
= 1 / 635
= 1
So, Greatest Common Divisor of 150, 705, 142, 635 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 150, 705, 142, 635
The greatest common divisor of numbers 150, 705, 142, 635 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 150, 705, 142, 635 is 1.
1. What is the GCD of 150, 705, 142, 635?
GCD of given numbers 150, 705, 142, 635 is 1
2. How to calculate the greatest common divisor of 150, 705, 142, 635?
We can find the highest common divisor of 150, 705, 142, 635 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, 705, 142, 635 i.e 1.
3. How can I use the GCD of 150, 705, 142, 635Calculator?
Out the numbers 150, 705, 142, 635 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.