Online GCD Calculator is useful to find the GCD of 972, 749, 417, 862 quickly. Get the easiest ways to solve the greatest common divisor of 972, 749, 417, 862 i.e 1 in different methods as follows.
Given Input numbers are 972, 749, 417, 862
In the factoring method, we have to find the divisors of all numbers
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
Divisors of 749 :
The positive integer divisors of 749 that completely divides 749 are.
1, 7, 107, 749
Divisors of 417 :
The positive integer divisors of 417 that completely divides 417 are.
1, 3, 139, 417
Divisors of 862 :
The positive integer divisors of 862 that completely divides 862 are.
1, 2, 431, 862
GCD of numbers is the greatest common divisor
So, the GCD (972, 749, 417, 862) = 1.
Given numbers are 972, 749, 417, 862
The list of prime factors of all numbers are
Prime factors of 972 are 2 x 2 x 3 x 3 x 3 x 3 x 3
Prime factors of 749 are 7 x 107
Prime factors of 417 are 3 x 139
Prime factors of 862 are 2 x 431
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 972, 749, 417, 862
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(972, 749) = 728028
GCD(972, 749) = ( 972 x 749 ) / 728028
= 972 / 749
= 972
Step2:
LCM(1, 417) = 417
GCD(1, 417) = ( 1 x 417 ) / 417
= 1 / 417
= 1
Step3:
LCM(1, 862) = 862
GCD(1, 862) = ( 1 x 862 ) / 862
= 1 / 862
= 1
So, Greatest Common Divisor of 972, 749, 417, 862 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 972, 749, 417, 862
The greatest common divisor of numbers 972, 749, 417, 862 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 972, 749, 417, 862 is 1.
1. What is the GCD of 972, 749, 417, 862?
GCD of given numbers 972, 749, 417, 862 is 1
2. How to calculate the greatest common divisor of 972, 749, 417, 862?
We can find the highest common divisor of 972, 749, 417, 862 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 972, 749, 417, 862 i.e 1.
3. How can I use the GCD of 972, 749, 417, 862Calculator?
Out the numbers 972, 749, 417, 862 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.