GCD of 257, 138, 677, 509 Calculator

Given Input numbers are 257, 138, 677, 509

In the factoring method, we have to find the divisors of all numbers

Divisors of 257 :

The positive integer divisors of 257 that completely divides 257 are.

1, 257

Divisors of 138 :

The positive integer divisors of 138 that completely divides 138 are.

1, 2, 3, 6, 23, 46, 69, 138

Divisors of 677 :

The positive integer divisors of 677 that completely divides 677 are.

1, 677

Divisors of 509 :

The positive integer divisors of 509 that completely divides 509 are.

1, 509

GCD of numbers is the greatest common divisor

So, the GCD (257, 138, 677, 509) = 1.

Given numbers are 257, 138, 677, 509

The list of prime factors of all numbers are

Prime factors of 257 are 257

Prime factors of 138 are 2 x 3 x 23

Prime factors of 677 are 677

Prime factors of 509 are 509

The above numbers do not have any common prime factor. So GCD is 1

Given numbers are 257, 138, 677, 509

GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)

Apply this formula for all numbers.

Step1:

LCM(257, 138) = 35466

GCD(257, 138) = ( 257 x 138 ) / 35466

= 257 / 138

= 257

Step2:

LCM(1, 677) = 677

GCD(1, 677) = ( 1 x 677 ) / 677

= 1 / 677

= 1

Step3:

LCM(1, 509) = 509

GCD(1, 509) = ( 1 x 509 ) / 509

= 1 / 509

= 1

So, Greatest Common Divisor of 257, 138, 677, 509 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 460, 328, 469, 154
• GCD of 118, 269, 977, 508
• GCD of 136, 806, 301, 771
• GCD of 426, 880, 601, 836
• GCD of 926, 343, 441, 577

Given numbers are 257, 138, 677, 509
The greatest common divisor of numbers 257, 138, 677, 509 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 257, 138, 677, 509 is 1.

1. What is the GCD of 257, 138, 677, 509?

GCD of given numbers 257, 138, 677, 509 is 1

2. How to calculate the greatest common divisor of 257, 138, 677, 509?

We can find the highest common divisor of 257, 138, 677, 509 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 257, 138, 677, 509 i.e 1.

3. How can I use the GCD of 257, 138, 677, 509Calculator?

Out the numbers 257, 138, 677, 509 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.