Online GCD Calculator is useful to find the GCD of 262, 493, 750, 972 quickly. Get the easiest ways to solve the greatest common divisor of 262, 493, 750, 972 i.e 1 in different methods as follows.
Given Input numbers are 262, 493, 750, 972
In the factoring method, we have to find the divisors of all numbers
Divisors of 262 :
The positive integer divisors of 262 that completely divides 262 are.
1, 2, 131, 262
Divisors of 493 :
The positive integer divisors of 493 that completely divides 493 are.
1, 17, 29, 493
Divisors of 750 :
The positive integer divisors of 750 that completely divides 750 are.
1, 2, 3, 5, 6, 10, 15, 25, 30, 50, 75, 125, 150, 250, 375, 750
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 (262, 493, 750, 972) = 1.
Given numbers are 262, 493, 750, 972
The list of prime factors of all numbers are
Prime factors of 262 are 2 x 131
Prime factors of 493 are 17 x 29
Prime factors of 750 are 2 x 3 x 5 x 5 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 262, 493, 750, 972
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(262, 493) = 129166
GCD(262, 493) = ( 262 x 493 ) / 129166
= 262 / 493
= 262
Step2:
LCM(1, 750) = 750
GCD(1, 750) = ( 1 x 750 ) / 750
= 1 / 750
= 1
Step3:
LCM(1, 972) = 972
GCD(1, 972) = ( 1 x 972 ) / 972
= 1 / 972
= 1
So, Greatest Common Divisor of 262, 493, 750, 972 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 262, 493, 750, 972
The greatest common divisor of numbers 262, 493, 750, 972 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 262, 493, 750, 972 is 1.
1. What is the GCD of 262, 493, 750, 972?
GCD of given numbers 262, 493, 750, 972 is 1
2. How to calculate the greatest common divisor of 262, 493, 750, 972?
We can find the highest common divisor of 262, 493, 750, 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 262, 493, 750, 972 i.e 1.
3. How can I use the GCD of 262, 493, 750, 972Calculator?
Out the numbers 262, 493, 750, 972 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.