GCD of 100, 506, 77, 177 Calculator

Given Input numbers are 100, 506, 77, 177

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

Divisors of 100 :

The positive integer divisors of 100 that completely divides 100 are.

1, 2, 4, 5, 10, 20, 25, 50, 100

Divisors of 506 :

The positive integer divisors of 506 that completely divides 506 are.

1, 2, 11, 22, 23, 46, 253, 506

Divisors of 77 :

The positive integer divisors of 77 that completely divides 77 are.

1, 7, 11, 77

Divisors of 177 :

The positive integer divisors of 177 that completely divides 177 are.

1, 3, 59, 177

GCD of numbers is the greatest common divisor

So, the GCD (100, 506, 77, 177) = 1.

Given numbers are 100, 506, 77, 177

The list of prime factors of all numbers are

Prime factors of 100 are 2 x 2 x 5 x 5

Prime factors of 506 are 2 x 11 x 23

Prime factors of 77 are 7 x 11

Prime factors of 177 are 3 x 59

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

Given numbers are 100, 506, 77, 177

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

Apply this formula for all numbers.

Step1:

LCM(100, 506) = 25300

GCD(100, 506) = ( 100 x 506 ) / 25300

= 100 / 506

= 100

Step2:

LCM(2, 77) = 154

GCD(2, 77) = ( 2 x 77 ) / 154

= 2 / 77

= 2

Step3:

LCM(1, 177) = 177

GCD(1, 177) = ( 1 x 177 ) / 177

= 1 / 177

= 1

So, Greatest Common Divisor of 100, 506, 77, 177 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 432, 752, 69, 155
• GCD of 951, 874, 84, 750
• GCD of 546, 905, 48, 319
• GCD of 267, 288, 25, 624
• GCD of 918, 934, 11, 391

Given numbers are 100, 506, 77, 177
The greatest common divisor of numbers 100, 506, 77, 177 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 100, 506, 77, 177 is 1.

1. What is the GCD of 100, 506, 77, 177?

GCD of given numbers 100, 506, 77, 177 is 1

2. How to calculate the greatest common divisor of 100, 506, 77, 177?

We can find the highest common divisor of 100, 506, 77, 177 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 100, 506, 77, 177 i.e 1.

3. How can I use the GCD of 100, 506, 77, 177Calculator?

Out the numbers 100, 506, 77, 177 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.