Online GCD Calculator is useful to find the GCD of 814, 889, 157, 972 quickly. Get the easiest ways to solve the greatest common divisor of 814, 889, 157, 972 i.e 1 in different methods as follows.
Given Input numbers are 814, 889, 157, 972
In the factoring method, we have to find the divisors of all numbers
Divisors of 814 :
The positive integer divisors of 814 that completely divides 814 are.
1, 2, 11, 22, 37, 74, 407, 814
Divisors of 889 :
The positive integer divisors of 889 that completely divides 889 are.
1, 7, 127, 889
Divisors of 157 :
The positive integer divisors of 157 that completely divides 157 are.
1, 157
Divisors of 972 :
The positive integer divisors of 972 that completely divides 972 are.
1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 81, 108, 162, 243, 324, 486, 972
GCD of numbers is the greatest common divisor
So, the GCD (814, 889, 157, 972) = 1.
Given numbers are 814, 889, 157, 972
The list of prime factors of all numbers are
Prime factors of 814 are 2 x 11 x 37
Prime factors of 889 are 7 x 127
Prime factors of 157 are 157
Prime factors of 972 are 2 x 2 x 3 x 3 x 3 x 3 x 3
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 814, 889, 157, 972
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(814, 889) = 723646
GCD(814, 889) = ( 814 x 889 ) / 723646
= 814 / 889
= 814
Step2:
LCM(1, 157) = 157
GCD(1, 157) = ( 1 x 157 ) / 157
= 1 / 157
= 1
Step3:
LCM(1, 972) = 972
GCD(1, 972) = ( 1 x 972 ) / 972
= 1 / 972
= 1
So, Greatest Common Divisor of 814, 889, 157, 972 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 814, 889, 157, 972
The greatest common divisor of numbers 814, 889, 157, 972 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 814, 889, 157, 972 is 1.
1. What is the GCD of 814, 889, 157, 972?
GCD of given numbers 814, 889, 157, 972 is 1
2. How to calculate the greatest common divisor of 814, 889, 157, 972?
We can find the highest common divisor of 814, 889, 157, 972 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 814, 889, 157, 972 i.e 1.
3. How can I use the GCD of 814, 889, 157, 972Calculator?
Out the numbers 814, 889, 157, 972 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.