GCD of 545, 416, 61, 138 Calculator

Given Input numbers are 545, 416, 61, 138

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

Divisors of 545 :

The positive integer divisors of 545 that completely divides 545 are.

1, 5, 109, 545

Divisors of 416 :

The positive integer divisors of 416 that completely divides 416 are.

1, 2, 4, 8, 13, 16, 26, 32, 52, 104, 208, 416

Divisors of 61 :

The positive integer divisors of 61 that completely divides 61 are.

1, 61

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 (545, 416, 61, 138) = 1.

Given numbers are 545, 416, 61, 138

The list of prime factors of all numbers are

Prime factors of 545 are 5 x 109

Prime factors of 416 are 2 x 2 x 2 x 2 x 2 x 13

Prime factors of 61 are 61

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 545, 416, 61, 138

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

Apply this formula for all numbers.

Step1:

LCM(545, 416) = 226720

GCD(545, 416) = ( 545 x 416 ) / 226720

= 545 / 416

= 545

Step2:

LCM(1, 61) = 61

GCD(1, 61) = ( 1 x 61 ) / 61

= 1 / 61

= 1

Step3:

LCM(1, 138) = 138

GCD(1, 138) = ( 1 x 138 ) / 138

= 1 / 138

= 1

So, Greatest Common Divisor of 545, 416, 61, 138 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 536, 509, 13, 993
• GCD of 386, 426, 42, 527
• GCD of 109, 807, 69, 957
• GCD of 998, 557, 53, 919
• GCD of 521, 831, 47, 937

Given numbers are 545, 416, 61, 138
The greatest common divisor of numbers 545, 416, 61, 138 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 545, 416, 61, 138 is 1.

1. What is the GCD of 545, 416, 61, 138?

GCD of given numbers 545, 416, 61, 138 is 1

2. How to calculate the greatest common divisor of 545, 416, 61, 138?

We can find the highest common divisor of 545, 416, 61, 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 545, 416, 61, 138 i.e 1.

3. How can I use the GCD of 545, 416, 61, 138Calculator?

Out the numbers 545, 416, 61, 138 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.