Online GCD Calculator is useful to find the GCD of 820, 755, 787, 977 quickly. Get the easiest ways to solve the greatest common divisor of 820, 755, 787, 977 i.e 1 in different methods as follows.
Given Input numbers are 820, 755, 787, 977
In the factoring method, we have to find the divisors of all numbers
Divisors of 820 :
The positive integer divisors of 820 that completely divides 820 are.
1, 2, 4, 5, 10, 20, 41, 82, 164, 205, 410, 820
Divisors of 755 :
The positive integer divisors of 755 that completely divides 755 are.
1, 5, 151, 755
Divisors of 787 :
The positive integer divisors of 787 that completely divides 787 are.
1, 787
Divisors of 977 :
The positive integer divisors of 977 that completely divides 977 are.
1, 977
GCD of numbers is the greatest common divisor
So, the GCD (820, 755, 787, 977) = 1.
Given numbers are 820, 755, 787, 977
The list of prime factors of all numbers are
Prime factors of 820 are 2 x 2 x 5 x 41
Prime factors of 755 are 5 x 151
Prime factors of 787 are 787
Prime factors of 977 are 977
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 820, 755, 787, 977
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(820, 755) = 123820
GCD(820, 755) = ( 820 x 755 ) / 123820
= 820 / 755
= 820
Step2:
LCM(5, 787) = 3935
GCD(5, 787) = ( 5 x 787 ) / 3935
= 5 / 787
= 5
Step3:
LCM(1, 977) = 977
GCD(1, 977) = ( 1 x 977 ) / 977
= 1 / 977
= 1
So, Greatest Common Divisor of 820, 755, 787, 977 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 820, 755, 787, 977
The greatest common divisor of numbers 820, 755, 787, 977 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 820, 755, 787, 977 is 1.
1. What is the GCD of 820, 755, 787, 977?
GCD of given numbers 820, 755, 787, 977 is 1
2. How to calculate the greatest common divisor of 820, 755, 787, 977?
We can find the highest common divisor of 820, 755, 787, 977 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 820, 755, 787, 977 i.e 1.
3. How can I use the GCD of 820, 755, 787, 977Calculator?
Out the numbers 820, 755, 787, 977 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.