Online GCD Calculator is useful to find the GCD of 735, 855, 600, 151 quickly. Get the easiest ways to solve the greatest common divisor of 735, 855, 600, 151 i.e 1 in different methods as follows.
Given Input numbers are 735, 855, 600, 151
In the factoring method, we have to find the divisors of all numbers
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 855 :
The positive integer divisors of 855 that completely divides 855 are.
1, 3, 5, 9, 15, 19, 45, 57, 95, 171, 285, 855
Divisors of 600 :
The positive integer divisors of 600 that completely divides 600 are.
1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 25, 30, 40, 50, 60, 75, 100, 120, 150, 200, 300, 600
Divisors of 151 :
The positive integer divisors of 151 that completely divides 151 are.
1, 151
GCD of numbers is the greatest common divisor
So, the GCD (735, 855, 600, 151) = 1.
Given numbers are 735, 855, 600, 151
The list of prime factors of all numbers are
Prime factors of 735 are 3 x 5 x 7 x 7
Prime factors of 855 are 3 x 3 x 5 x 19
Prime factors of 600 are 2 x 2 x 2 x 3 x 5 x 5
Prime factors of 151 are 151
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 735, 855, 600, 151
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(735, 855) = 41895
GCD(735, 855) = ( 735 x 855 ) / 41895
= 735 / 855
= 735
Step2:
LCM(15, 600) = 600
GCD(15, 600) = ( 15 x 600 ) / 600
= 15 / 600
= 15
Step3:
LCM(15, 151) = 2265
GCD(15, 151) = ( 15 x 151 ) / 2265
= 15 / 151
= 15
So, Greatest Common Divisor of 735, 855, 600, 151 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 735, 855, 600, 151
The greatest common divisor of numbers 735, 855, 600, 151 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 735, 855, 600, 151 is 1.
1. What is the GCD of 735, 855, 600, 151?
GCD of given numbers 735, 855, 600, 151 is 1
2. How to calculate the greatest common divisor of 735, 855, 600, 151?
We can find the highest common divisor of 735, 855, 600, 151 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 735, 855, 600, 151 i.e 1.
3. How can I use the GCD of 735, 855, 600, 151Calculator?
Out the numbers 735, 855, 600, 151 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.