Online GCD Calculator is useful to find the GCD of 874, 767, 737, 360 quickly. Get the easiest ways to solve the greatest common divisor of 874, 767, 737, 360 i.e 1 in different methods as follows.
Given Input numbers are 874, 767, 737, 360
In the factoring method, we have to find the divisors of all numbers
Divisors of 874 :
The positive integer divisors of 874 that completely divides 874 are.
1, 2, 19, 23, 38, 46, 437, 874
Divisors of 767 :
The positive integer divisors of 767 that completely divides 767 are.
1, 13, 59, 767
Divisors of 737 :
The positive integer divisors of 737 that completely divides 737 are.
1, 11, 67, 737
Divisors of 360 :
The positive integer divisors of 360 that completely divides 360 are.
1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 18, 20, 24, 30, 36, 40, 45, 60, 72, 90, 120, 180, 360
GCD of numbers is the greatest common divisor
So, the GCD (874, 767, 737, 360) = 1.
Given numbers are 874, 767, 737, 360
The list of prime factors of all numbers are
Prime factors of 874 are 2 x 19 x 23
Prime factors of 767 are 13 x 59
Prime factors of 737 are 11 x 67
Prime factors of 360 are 2 x 2 x 2 x 3 x 3 x 5
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 874, 767, 737, 360
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(874, 767) = 670358
GCD(874, 767) = ( 874 x 767 ) / 670358
= 874 / 767
= 874
Step2:
LCM(1, 737) = 737
GCD(1, 737) = ( 1 x 737 ) / 737
= 1 / 737
= 1
Step3:
LCM(1, 360) = 360
GCD(1, 360) = ( 1 x 360 ) / 360
= 1 / 360
= 1
So, Greatest Common Divisor of 874, 767, 737, 360 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 874, 767, 737, 360
The greatest common divisor of numbers 874, 767, 737, 360 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 874, 767, 737, 360 is 1.
1. What is the GCD of 874, 767, 737, 360?
GCD of given numbers 874, 767, 737, 360 is 1
2. How to calculate the greatest common divisor of 874, 767, 737, 360?
We can find the highest common divisor of 874, 767, 737, 360 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 874, 767, 737, 360 i.e 1.
3. How can I use the GCD of 874, 767, 737, 360Calculator?
Out the numbers 874, 767, 737, 360 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.