Online GCD Calculator is useful to find the GCD of 777, 972, 172, 752 quickly. Get the easiest ways to solve the greatest common divisor of 777, 972, 172, 752 i.e 1 in different methods as follows.
Given Input numbers are 777, 972, 172, 752
In the factoring method, we have to find the divisors of all numbers
Divisors of 777 :
The positive integer divisors of 777 that completely divides 777 are.
1, 3, 7, 21, 37, 111, 259, 777
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 172 :
The positive integer divisors of 172 that completely divides 172 are.
1, 2, 4, 43, 86, 172
Divisors of 752 :
The positive integer divisors of 752 that completely divides 752 are.
1, 2, 4, 8, 16, 47, 94, 188, 376, 752
GCD of numbers is the greatest common divisor
So, the GCD (777, 972, 172, 752) = 1.
Given numbers are 777, 972, 172, 752
The list of prime factors of all numbers are
Prime factors of 777 are 3 x 7 x 37
Prime factors of 972 are 2 x 2 x 3 x 3 x 3 x 3 x 3
Prime factors of 172 are 2 x 2 x 43
Prime factors of 752 are 2 x 2 x 2 x 2 x 47
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 777, 972, 172, 752
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(777, 972) = 251748
GCD(777, 972) = ( 777 x 972 ) / 251748
= 777 / 972
= 777
Step2:
LCM(3, 172) = 516
GCD(3, 172) = ( 3 x 172 ) / 516
= 3 / 172
= 3
Step3:
LCM(1, 752) = 752
GCD(1, 752) = ( 1 x 752 ) / 752
= 1 / 752
= 1
So, Greatest Common Divisor of 777, 972, 172, 752 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 777, 972, 172, 752
The greatest common divisor of numbers 777, 972, 172, 752 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 777, 972, 172, 752 is 1.
1. What is the GCD of 777, 972, 172, 752?
GCD of given numbers 777, 972, 172, 752 is 1
2. How to calculate the greatest common divisor of 777, 972, 172, 752?
We can find the highest common divisor of 777, 972, 172, 752 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 777, 972, 172, 752 i.e 1.
3. How can I use the GCD of 777, 972, 172, 752Calculator?
Out the numbers 777, 972, 172, 752 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.