Online GCD Calculator is useful to find the GCD of 434, 280, 821, 687 quickly. Get the easiest ways to solve the greatest common divisor of 434, 280, 821, 687 i.e 1 in different methods as follows.
Given Input numbers are 434, 280, 821, 687
In the factoring method, we have to find the divisors of all numbers
Divisors of 434 :
The positive integer divisors of 434 that completely divides 434 are.
1, 2, 7, 14, 31, 62, 217, 434
Divisors of 280 :
The positive integer divisors of 280 that completely divides 280 are.
1, 2, 4, 5, 7, 8, 10, 14, 20, 28, 35, 40, 56, 70, 140, 280
Divisors of 821 :
The positive integer divisors of 821 that completely divides 821 are.
1, 821
Divisors of 687 :
The positive integer divisors of 687 that completely divides 687 are.
1, 3, 229, 687
GCD of numbers is the greatest common divisor
So, the GCD (434, 280, 821, 687) = 1.
Given numbers are 434, 280, 821, 687
The list of prime factors of all numbers are
Prime factors of 434 are 2 x 7 x 31
Prime factors of 280 are 2 x 2 x 2 x 5 x 7
Prime factors of 821 are 821
Prime factors of 687 are 3 x 229
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 434, 280, 821, 687
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(434, 280) = 8680
GCD(434, 280) = ( 434 x 280 ) / 8680
= 434 / 280
= 434
Step2:
LCM(14, 821) = 11494
GCD(14, 821) = ( 14 x 821 ) / 11494
= 14 / 821
= 14
Step3:
LCM(1, 687) = 687
GCD(1, 687) = ( 1 x 687 ) / 687
= 1 / 687
= 1
So, Greatest Common Divisor of 434, 280, 821, 687 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 434, 280, 821, 687
The greatest common divisor of numbers 434, 280, 821, 687 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 434, 280, 821, 687 is 1.
1. What is the GCD of 434, 280, 821, 687?
GCD of given numbers 434, 280, 821, 687 is 1
2. How to calculate the greatest common divisor of 434, 280, 821, 687?
We can find the highest common divisor of 434, 280, 821, 687 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 434, 280, 821, 687 i.e 1.
3. How can I use the GCD of 434, 280, 821, 687Calculator?
Out the numbers 434, 280, 821, 687 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.