Online GCD Calculator is useful to find the GCD of 497, 780, 156, 138 quickly. Get the easiest ways to solve the greatest common divisor of 497, 780, 156, 138 i.e 1 in different methods as follows.
Given Input numbers are 497, 780, 156, 138
In the factoring method, we have to find the divisors of all numbers
Divisors of 497 :
The positive integer divisors of 497 that completely divides 497 are.
1, 7, 71, 497
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
Divisors of 156 :
The positive integer divisors of 156 that completely divides 156 are.
1, 2, 3, 4, 6, 12, 13, 26, 39, 52, 78, 156
Divisors of 138 :
The positive integer divisors of 138 that completely divides 138 are.
1, 2, 3, 6, 23, 46, 69, 138
GCD of numbers is the greatest common divisor
So, the GCD (497, 780, 156, 138) = 1.
Given numbers are 497, 780, 156, 138
The list of prime factors of all numbers are
Prime factors of 497 are 7 x 71
Prime factors of 780 are 2 x 2 x 3 x 5 x 13
Prime factors of 156 are 2 x 2 x 3 x 13
Prime factors of 138 are 2 x 3 x 23
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 497, 780, 156, 138
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(497, 780) = 387660
GCD(497, 780) = ( 497 x 780 ) / 387660
= 497 / 780
= 497
Step2:
LCM(1, 156) = 156
GCD(1, 156) = ( 1 x 156 ) / 156
= 1 / 156
= 1
Step3:
LCM(1, 138) = 138
GCD(1, 138) = ( 1 x 138 ) / 138
= 1 / 138
= 1
So, Greatest Common Divisor of 497, 780, 156, 138 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 497, 780, 156, 138
The greatest common divisor of numbers 497, 780, 156, 138 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 497, 780, 156, 138 is 1.
1. What is the GCD of 497, 780, 156, 138?
GCD of given numbers 497, 780, 156, 138 is 1
2. How to calculate the greatest common divisor of 497, 780, 156, 138?
We can find the highest common divisor of 497, 780, 156, 138 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 497, 780, 156, 138 i.e 1.
3. How can I use the GCD of 497, 780, 156, 138Calculator?
Out the numbers 497, 780, 156, 138 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.