Online GCD Calculator is useful to find the GCD of 771, 675, 755, 400 quickly. Get the easiest ways to solve the greatest common divisor of 771, 675, 755, 400 i.e 1 in different methods as follows.
Given Input numbers are 771, 675, 755, 400
In the factoring method, we have to find the divisors of all numbers
Divisors of 771 :
The positive integer divisors of 771 that completely divides 771 are.
1, 3, 257, 771
Divisors of 675 :
The positive integer divisors of 675 that completely divides 675 are.
1, 3, 5, 9, 15, 25, 27, 45, 75, 135, 225, 675
Divisors of 755 :
The positive integer divisors of 755 that completely divides 755 are.
1, 5, 151, 755
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 (771, 675, 755, 400) = 1.
Given numbers are 771, 675, 755, 400
The list of prime factors of all numbers are
Prime factors of 771 are 3 x 257
Prime factors of 675 are 3 x 3 x 3 x 5 x 5
Prime factors of 755 are 5 x 151
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 771, 675, 755, 400
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(771, 675) = 173475
GCD(771, 675) = ( 771 x 675 ) / 173475
= 771 / 675
= 771
Step2:
LCM(3, 755) = 2265
GCD(3, 755) = ( 3 x 755 ) / 2265
= 3 / 755
= 3
Step3:
LCM(1, 400) = 400
GCD(1, 400) = ( 1 x 400 ) / 400
= 1 / 400
= 1
So, Greatest Common Divisor of 771, 675, 755, 400 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 771, 675, 755, 400
The greatest common divisor of numbers 771, 675, 755, 400 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 771, 675, 755, 400 is 1.
1. What is the GCD of 771, 675, 755, 400?
GCD of given numbers 771, 675, 755, 400 is 1
2. How to calculate the greatest common divisor of 771, 675, 755, 400?
We can find the highest common divisor of 771, 675, 755, 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 771, 675, 755, 400 i.e 1.
3. How can I use the GCD of 771, 675, 755, 400Calculator?
Out the numbers 771, 675, 755, 400 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.