Online GCD Calculator is useful to find the GCD of 702, 582, 507, 441 quickly. Get the easiest ways to solve the greatest common divisor of 702, 582, 507, 441 i.e 3 in different methods as follows.
Given Input numbers are 702, 582, 507, 441
In the factoring method, we have to find the divisors of all numbers
Divisors of 702 :
The positive integer divisors of 702 that completely divides 702 are.
1, 2, 3, 6, 9, 13, 18, 26, 27, 39, 54, 78, 117, 234, 351, 702
Divisors of 582 :
The positive integer divisors of 582 that completely divides 582 are.
1, 2, 3, 6, 97, 194, 291, 582
Divisors of 507 :
The positive integer divisors of 507 that completely divides 507 are.
1, 3, 13, 39, 169, 507
Divisors of 441 :
The positive integer divisors of 441 that completely divides 441 are.
1, 3, 7, 9, 21, 49, 63, 147, 441
GCD of numbers is the greatest common divisor
So, the GCD (702, 582, 507, 441) = 3.
Given numbers are 702, 582, 507, 441
The list of prime factors of all numbers are
Prime factors of 702 are 2 x 3 x 3 x 3 x 13
Prime factors of 582 are 2 x 3 x 97
Prime factors of 507 are 3 x 13 x 13
Prime factors of 441 are 3 x 3 x 7 x 7
The highest common occurrence is 31
Therefore, GCD of 702, 582, 507, 441 is 3.
Given numbers are 702, 582, 507, 441
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(702, 582) = 68094
GCD(702, 582) = ( 702 x 582 ) / 68094
= 702 / 582
= 702
Step2:
LCM(6, 507) = 1014
GCD(6, 507) = ( 6 x 507 ) / 1014
= 6 / 507
= 6
Step3:
LCM(3, 441) = 441
GCD(3, 441) = ( 3 x 441 ) / 441
= 3 / 441
= 3
So, Greatest Common Divisor of 702, 582, 507, 441 is 3
Here are some samples of GCD of Numbers calculations.
Given numbers are 702, 582, 507, 441
The greatest common divisor of numbers 702, 582, 507, 441 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 702, 582, 507, 441 is 3.
1. What is the GCD of 702, 582, 507, 441?
GCD of given numbers 702, 582, 507, 441 is 3
2. How to calculate the greatest common divisor of 702, 582, 507, 441?
We can find the highest common divisor of 702, 582, 507, 441 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 702, 582, 507, 441 i.e 3.
3. How can I use the GCD of 702, 582, 507, 441Calculator?
Out the numbers 702, 582, 507, 441 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.