Online GCD Calculator is useful to find the GCD of 823, 147, 716, 420 quickly. Get the easiest ways to solve the greatest common divisor of 823, 147, 716, 420 i.e 1 in different methods as follows.
Given Input numbers are 823, 147, 716, 420
In the factoring method, we have to find the divisors of all numbers
Divisors of 823 :
The positive integer divisors of 823 that completely divides 823 are.
1, 823
Divisors of 147 :
The positive integer divisors of 147 that completely divides 147 are.
1, 3, 7, 21, 49, 147
Divisors of 716 :
The positive integer divisors of 716 that completely divides 716 are.
1, 2, 4, 179, 358, 716
Divisors of 420 :
The positive integer divisors of 420 that completely divides 420 are.
1, 2, 3, 4, 5, 6, 7, 10, 12, 14, 15, 20, 21, 28, 30, 35, 42, 60, 70, 84, 105, 140, 210, 420
GCD of numbers is the greatest common divisor
So, the GCD (823, 147, 716, 420) = 1.
Given numbers are 823, 147, 716, 420
The list of prime factors of all numbers are
Prime factors of 823 are 823
Prime factors of 147 are 3 x 7 x 7
Prime factors of 716 are 2 x 2 x 179
Prime factors of 420 are 2 x 2 x 3 x 5 x 7
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 823, 147, 716, 420
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(823, 147) = 120981
GCD(823, 147) = ( 823 x 147 ) / 120981
= 823 / 147
= 823
Step2:
LCM(1, 716) = 716
GCD(1, 716) = ( 1 x 716 ) / 716
= 1 / 716
= 1
Step3:
LCM(1, 420) = 420
GCD(1, 420) = ( 1 x 420 ) / 420
= 1 / 420
= 1
So, Greatest Common Divisor of 823, 147, 716, 420 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 823, 147, 716, 420
The greatest common divisor of numbers 823, 147, 716, 420 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 823, 147, 716, 420 is 1.
1. What is the GCD of 823, 147, 716, 420?
GCD of given numbers 823, 147, 716, 420 is 1
2. How to calculate the greatest common divisor of 823, 147, 716, 420?
We can find the highest common divisor of 823, 147, 716, 420 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 823, 147, 716, 420 i.e 1.
3. How can I use the GCD of 823, 147, 716, 420Calculator?
Out the numbers 823, 147, 716, 420 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.