Online GCD Calculator is useful to find the GCD of 677, 760, 72, 924 quickly. Get the easiest ways to solve the greatest common divisor of 677, 760, 72, 924 i.e 1 in different methods as follows.
Given Input numbers are 677, 760, 72, 924
In the factoring method, we have to find the divisors of all numbers
Divisors of 677 :
The positive integer divisors of 677 that completely divides 677 are.
1, 677
Divisors of 760 :
The positive integer divisors of 760 that completely divides 760 are.
1, 2, 4, 5, 8, 10, 19, 20, 38, 40, 76, 95, 152, 190, 380, 760
Divisors of 72 :
The positive integer divisors of 72 that completely divides 72 are.
1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72
Divisors of 924 :
The positive integer divisors of 924 that completely divides 924 are.
1, 2, 3, 4, 6, 7, 11, 12, 14, 21, 22, 28, 33, 42, 44, 66, 77, 84, 132, 154, 231, 308, 462, 924
GCD of numbers is the greatest common divisor
So, the GCD (677, 760, 72, 924) = 1.
Given numbers are 677, 760, 72, 924
The list of prime factors of all numbers are
Prime factors of 677 are 677
Prime factors of 760 are 2 x 2 x 2 x 5 x 19
Prime factors of 72 are 2 x 2 x 2 x 3 x 3
Prime factors of 924 are 2 x 2 x 3 x 7 x 11
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 677, 760, 72, 924
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(677, 760) = 514520
GCD(677, 760) = ( 677 x 760 ) / 514520
= 677 / 760
= 677
Step2:
LCM(1, 72) = 72
GCD(1, 72) = ( 1 x 72 ) / 72
= 1 / 72
= 1
Step3:
LCM(1, 924) = 924
GCD(1, 924) = ( 1 x 924 ) / 924
= 1 / 924
= 1
So, Greatest Common Divisor of 677, 760, 72, 924 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 677, 760, 72, 924
The greatest common divisor of numbers 677, 760, 72, 924 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 677, 760, 72, 924 is 1.
1. What is the GCD of 677, 760, 72, 924?
GCD of given numbers 677, 760, 72, 924 is 1
2. How to calculate the greatest common divisor of 677, 760, 72, 924?
We can find the highest common divisor of 677, 760, 72, 924 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 677, 760, 72, 924 i.e 1.
3. How can I use the GCD of 677, 760, 72, 924Calculator?
Out the numbers 677, 760, 72, 924 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.