Online GCD Calculator is useful to find the GCD of 977, 299, 950, 400 quickly. Get the easiest ways to solve the greatest common divisor of 977, 299, 950, 400 i.e 1 in different methods as follows.
Given Input numbers are 977, 299, 950, 400
In the factoring method, we have to find the divisors of all numbers
Divisors of 977 :
The positive integer divisors of 977 that completely divides 977 are.
1, 977
Divisors of 299 :
The positive integer divisors of 299 that completely divides 299 are.
1, 13, 23, 299
Divisors of 950 :
The positive integer divisors of 950 that completely divides 950 are.
1, 2, 5, 10, 19, 25, 38, 50, 95, 190, 475, 950
Divisors of 400 :
The positive integer divisors of 400 that completely divides 400 are.
1, 2, 4, 5, 8, 10, 16, 20, 25, 40, 50, 80, 100, 200, 400
GCD of numbers is the greatest common divisor
So, the GCD (977, 299, 950, 400) = 1.
Given numbers are 977, 299, 950, 400
The list of prime factors of all numbers are
Prime factors of 977 are 977
Prime factors of 299 are 13 x 23
Prime factors of 950 are 2 x 5 x 5 x 19
Prime factors of 400 are 2 x 2 x 2 x 2 x 5 x 5
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 977, 299, 950, 400
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(977, 299) = 292123
GCD(977, 299) = ( 977 x 299 ) / 292123
= 977 / 299
= 977
Step2:
LCM(1, 950) = 950
GCD(1, 950) = ( 1 x 950 ) / 950
= 1 / 950
= 1
Step3:
LCM(1, 400) = 400
GCD(1, 400) = ( 1 x 400 ) / 400
= 1 / 400
= 1
So, Greatest Common Divisor of 977, 299, 950, 400 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 977, 299, 950, 400
The greatest common divisor of numbers 977, 299, 950, 400 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 977, 299, 950, 400 is 1.
1. What is the GCD of 977, 299, 950, 400?
GCD of given numbers 977, 299, 950, 400 is 1
2. How to calculate the greatest common divisor of 977, 299, 950, 400?
We can find the highest common divisor of 977, 299, 950, 400 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 977, 299, 950, 400 i.e 1.
3. How can I use the GCD of 977, 299, 950, 400Calculator?
Out the numbers 977, 299, 950, 400 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.