Online GCD Calculator is useful to find the GCD of 491, 687, 400, 761 quickly. Get the easiest ways to solve the greatest common divisor of 491, 687, 400, 761 i.e 1 in different methods as follows.
Given Input numbers are 491, 687, 400, 761
In the factoring method, we have to find the divisors of all numbers
Divisors of 491 :
The positive integer divisors of 491 that completely divides 491 are.
1, 491
Divisors of 687 :
The positive integer divisors of 687 that completely divides 687 are.
1, 3, 229, 687
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 761 :
The positive integer divisors of 761 that completely divides 761 are.
1, 761
GCD of numbers is the greatest common divisor
So, the GCD (491, 687, 400, 761) = 1.
Given numbers are 491, 687, 400, 761
The list of prime factors of all numbers are
Prime factors of 491 are 491
Prime factors of 687 are 3 x 229
Prime factors of 400 are 2 x 2 x 2 x 2 x 5 x 5
Prime factors of 761 are 761
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 491, 687, 400, 761
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(491, 687) = 337317
GCD(491, 687) = ( 491 x 687 ) / 337317
= 491 / 687
= 491
Step2:
LCM(1, 400) = 400
GCD(1, 400) = ( 1 x 400 ) / 400
= 1 / 400
= 1
Step3:
LCM(1, 761) = 761
GCD(1, 761) = ( 1 x 761 ) / 761
= 1 / 761
= 1
So, Greatest Common Divisor of 491, 687, 400, 761 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 491, 687, 400, 761
The greatest common divisor of numbers 491, 687, 400, 761 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 491, 687, 400, 761 is 1.
1. What is the GCD of 491, 687, 400, 761?
GCD of given numbers 491, 687, 400, 761 is 1
2. How to calculate the greatest common divisor of 491, 687, 400, 761?
We can find the highest common divisor of 491, 687, 400, 761 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 491, 687, 400, 761 i.e 1.
3. How can I use the GCD of 491, 687, 400, 761Calculator?
Out the numbers 491, 687, 400, 761 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.