Online GCD Calculator is useful to find the GCD of 821, 120, 543, 735 quickly. Get the easiest ways to solve the greatest common divisor of 821, 120, 543, 735 i.e 1 in different methods as follows.
Given Input numbers are 821, 120, 543, 735
In the factoring method, we have to find the divisors of all numbers
Divisors of 821 :
The positive integer divisors of 821 that completely divides 821 are.
1, 821
Divisors of 120 :
The positive integer divisors of 120 that completely divides 120 are.
1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 60, 120
Divisors of 543 :
The positive integer divisors of 543 that completely divides 543 are.
1, 3, 181, 543
Divisors of 735 :
The positive integer divisors of 735 that completely divides 735 are.
1, 3, 5, 7, 15, 21, 35, 49, 105, 147, 245, 735
GCD of numbers is the greatest common divisor
So, the GCD (821, 120, 543, 735) = 1.
Given numbers are 821, 120, 543, 735
The list of prime factors of all numbers are
Prime factors of 821 are 821
Prime factors of 120 are 2 x 2 x 2 x 3 x 5
Prime factors of 543 are 3 x 181
Prime factors of 735 are 3 x 5 x 7 x 7
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 821, 120, 543, 735
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(821, 120) = 98520
GCD(821, 120) = ( 821 x 120 ) / 98520
= 821 / 120
= 821
Step2:
LCM(1, 543) = 543
GCD(1, 543) = ( 1 x 543 ) / 543
= 1 / 543
= 1
Step3:
LCM(1, 735) = 735
GCD(1, 735) = ( 1 x 735 ) / 735
= 1 / 735
= 1
So, Greatest Common Divisor of 821, 120, 543, 735 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 821, 120, 543, 735
The greatest common divisor of numbers 821, 120, 543, 735 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 821, 120, 543, 735 is 1.
1. What is the GCD of 821, 120, 543, 735?
GCD of given numbers 821, 120, 543, 735 is 1
2. How to calculate the greatest common divisor of 821, 120, 543, 735?
We can find the highest common divisor of 821, 120, 543, 735 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 821, 120, 543, 735 i.e 1.
3. How can I use the GCD of 821, 120, 543, 735Calculator?
Out the numbers 821, 120, 543, 735 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.