Online GCD Calculator is useful to find the GCD of 681, 642, 507, 960 quickly. Get the easiest ways to solve the greatest common divisor of 681, 642, 507, 960 i.e 3 in different methods as follows.
Given Input numbers are 681, 642, 507, 960
In the factoring method, we have to find the divisors of all numbers
Divisors of 681 :
The positive integer divisors of 681 that completely divides 681 are.
1, 3, 227, 681
Divisors of 642 :
The positive integer divisors of 642 that completely divides 642 are.
1, 2, 3, 6, 107, 214, 321, 642
Divisors of 507 :
The positive integer divisors of 507 that completely divides 507 are.
1, 3, 13, 39, 169, 507
Divisors of 960 :
The positive integer divisors of 960 that completely divides 960 are.
1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 32, 40, 48, 60, 64, 80, 96, 120, 160, 192, 240, 320, 480, 960
GCD of numbers is the greatest common divisor
So, the GCD (681, 642, 507, 960) = 3.
Given numbers are 681, 642, 507, 960
The list of prime factors of all numbers are
Prime factors of 681 are 3 x 227
Prime factors of 642 are 2 x 3 x 107
Prime factors of 507 are 3 x 13 x 13
Prime factors of 960 are 2 x 2 x 2 x 2 x 2 x 2 x 3 x 5
The highest common occurrence is 31
Therefore, GCD of 681, 642, 507, 960 is 3.
Given numbers are 681, 642, 507, 960
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(681, 642) = 145734
GCD(681, 642) = ( 681 x 642 ) / 145734
= 681 / 642
= 681
Step2:
LCM(3, 507) = 507
GCD(3, 507) = ( 3 x 507 ) / 507
= 3 / 507
= 3
Step3:
LCM(3, 960) = 960
GCD(3, 960) = ( 3 x 960 ) / 960
= 3 / 960
= 3
So, Greatest Common Divisor of 681, 642, 507, 960 is 3
Here are some samples of GCD of Numbers calculations.
Given numbers are 681, 642, 507, 960
The greatest common divisor of numbers 681, 642, 507, 960 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 681, 642, 507, 960 is 3.
1. What is the GCD of 681, 642, 507, 960?
GCD of given numbers 681, 642, 507, 960 is 3
2. How to calculate the greatest common divisor of 681, 642, 507, 960?
We can find the highest common divisor of 681, 642, 507, 960 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 681, 642, 507, 960 i.e 3.
3. How can I use the GCD of 681, 642, 507, 960Calculator?
Out the numbers 681, 642, 507, 960 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.