GCD of 505, 610, 400, 771 Calculator

Given Input numbers are 505, 610, 400, 771

In the factoring method, we have to find the divisors of all numbers

Divisors of 505 :

The positive integer divisors of 505 that completely divides 505 are.

1, 5, 101, 505

Divisors of 610 :

The positive integer divisors of 610 that completely divides 610 are.

1, 2, 5, 10, 61, 122, 305, 610

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

Divisors of 771 :

The positive integer divisors of 771 that completely divides 771 are.

1, 3, 257, 771

GCD of numbers is the greatest common divisor

So, the GCD (505, 610, 400, 771) = 1.

Given numbers are 505, 610, 400, 771

The list of prime factors of all numbers are

Prime factors of 505 are 5 x 101

Prime factors of 610 are 2 x 5 x 61

Prime factors of 400 are 2 x 2 x 2 x 2 x 5 x 5

Prime factors of 771 are 3 x 257

The above numbers do not have any common prime factor. So GCD is 1

Given numbers are 505, 610, 400, 771

GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)

Apply this formula for all numbers.

Step1:

LCM(505, 610) = 61610

GCD(505, 610) = ( 505 x 610 ) / 61610

= 505 / 610

= 505

Step2:

LCM(5, 400) = 400

GCD(5, 400) = ( 5 x 400 ) / 400

= 5 / 400

= 5

Step3:

LCM(5, 771) = 3855

GCD(5, 771) = ( 5 x 771 ) / 3855

= 5 / 771

= 5

So, Greatest Common Divisor of 505, 610, 400, 771 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 816, 411, 352, 900
• GCD of 798, 587, 697, 981
• GCD of 415, 859, 966, 146
• GCD of 665, 810, 933, 212
• GCD of 169, 937, 590, 509

Given numbers are 505, 610, 400, 771
The greatest common divisor of numbers 505, 610, 400, 771 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 505, 610, 400, 771 is 1.

1. What is the GCD of 505, 610, 400, 771?

GCD of given numbers 505, 610, 400, 771 is 1

2. How to calculate the greatest common divisor of 505, 610, 400, 771?

We can find the highest common divisor of 505, 610, 400, 771 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 505, 610, 400, 771 i.e 1.

3. How can I use the GCD of 505, 610, 400, 771Calculator?

Out the numbers 505, 610, 400, 771 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.