Online GCD Calculator is useful to find the GCD of 153, 693, 782, 780 quickly. Get the easiest ways to solve the greatest common divisor of 153, 693, 782, 780 i.e 1 in different methods as follows.
Given Input numbers are 153, 693, 782, 780
In the factoring method, we have to find the divisors of all numbers
Divisors of 153 :
The positive integer divisors of 153 that completely divides 153 are.
1, 3, 9, 17, 51, 153
Divisors of 693 :
The positive integer divisors of 693 that completely divides 693 are.
1, 3, 7, 9, 11, 21, 33, 63, 77, 99, 231, 693
Divisors of 782 :
The positive integer divisors of 782 that completely divides 782 are.
1, 2, 17, 23, 34, 46, 391, 782
Divisors of 780 :
The positive integer divisors of 780 that completely divides 780 are.
1, 2, 3, 4, 5, 6, 10, 12, 13, 15, 20, 26, 30, 39, 52, 60, 65, 78, 130, 156, 195, 260, 390, 780
GCD of numbers is the greatest common divisor
So, the GCD (153, 693, 782, 780) = 1.
Given numbers are 153, 693, 782, 780
The list of prime factors of all numbers are
Prime factors of 153 are 3 x 3 x 17
Prime factors of 693 are 3 x 3 x 7 x 11
Prime factors of 782 are 2 x 17 x 23
Prime factors of 780 are 2 x 2 x 3 x 5 x 13
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 153, 693, 782, 780
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(153, 693) = 11781
GCD(153, 693) = ( 153 x 693 ) / 11781
= 153 / 693
= 153
Step2:
LCM(9, 782) = 7038
GCD(9, 782) = ( 9 x 782 ) / 7038
= 9 / 782
= 9
Step3:
LCM(1, 780) = 780
GCD(1, 780) = ( 1 x 780 ) / 780
= 1 / 780
= 1
So, Greatest Common Divisor of 153, 693, 782, 780 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 153, 693, 782, 780
The greatest common divisor of numbers 153, 693, 782, 780 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 153, 693, 782, 780 is 1.
1. What is the GCD of 153, 693, 782, 780?
GCD of given numbers 153, 693, 782, 780 is 1
2. How to calculate the greatest common divisor of 153, 693, 782, 780?
We can find the highest common divisor of 153, 693, 782, 780 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 153, 693, 782, 780 i.e 1.
3. How can I use the GCD of 153, 693, 782, 780Calculator?
Out the numbers 153, 693, 782, 780 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.