Online GCD Calculator is useful to find the GCD of 266, 705, 160, 972 quickly. Get the easiest ways to solve the greatest common divisor of 266, 705, 160, 972 i.e 1 in different methods as follows.
Given Input numbers are 266, 705, 160, 972
In the factoring method, we have to find the divisors of all numbers
Divisors of 266 :
The positive integer divisors of 266 that completely divides 266 are.
1, 2, 7, 14, 19, 38, 133, 266
Divisors of 705 :
The positive integer divisors of 705 that completely divides 705 are.
1, 3, 5, 15, 47, 141, 235, 705
Divisors of 160 :
The positive integer divisors of 160 that completely divides 160 are.
1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 80, 160
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 (266, 705, 160, 972) = 1.
Given numbers are 266, 705, 160, 972
The list of prime factors of all numbers are
Prime factors of 266 are 2 x 7 x 19
Prime factors of 705 are 3 x 5 x 47
Prime factors of 160 are 2 x 2 x 2 x 2 x 2 x 5
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 266, 705, 160, 972
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(266, 705) = 187530
GCD(266, 705) = ( 266 x 705 ) / 187530
= 266 / 705
= 266
Step2:
LCM(1, 160) = 160
GCD(1, 160) = ( 1 x 160 ) / 160
= 1 / 160
= 1
Step3:
LCM(1, 972) = 972
GCD(1, 972) = ( 1 x 972 ) / 972
= 1 / 972
= 1
So, Greatest Common Divisor of 266, 705, 160, 972 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 266, 705, 160, 972
The greatest common divisor of numbers 266, 705, 160, 972 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 266, 705, 160, 972 is 1.
1. What is the GCD of 266, 705, 160, 972?
GCD of given numbers 266, 705, 160, 972 is 1
2. How to calculate the greatest common divisor of 266, 705, 160, 972?
We can find the highest common divisor of 266, 705, 160, 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 266, 705, 160, 972 i.e 1.
3. How can I use the GCD of 266, 705, 160, 972Calculator?
Out the numbers 266, 705, 160, 972 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.