GCD of 100, 749, 564, 918 Calculator

Given Input numbers are 100, 749, 564, 918

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 749 :

The positive integer divisors of 749 that completely divides 749 are.

1, 7, 107, 749

Divisors of 564 :

The positive integer divisors of 564 that completely divides 564 are.

1, 2, 3, 4, 6, 12, 47, 94, 141, 188, 282, 564

Divisors of 918 :

The positive integer divisors of 918 that completely divides 918 are.

1, 2, 3, 6, 9, 17, 18, 27, 34, 51, 54, 102, 153, 306, 459, 918

GCD of numbers is the greatest common divisor

So, the GCD (100, 749, 564, 918) = 1.

Given numbers are 100, 749, 564, 918

The list of prime factors of all numbers are

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

Prime factors of 749 are 7 x 107

Prime factors of 564 are 2 x 2 x 3 x 47

Prime factors of 918 are 2 x 3 x 3 x 3 x 17

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

Given numbers are 100, 749, 564, 918

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

Apply this formula for all numbers.

Step1:

LCM(100, 749) = 74900

GCD(100, 749) = ( 100 x 749 ) / 74900

= 100 / 749

= 100

Step2:

LCM(1, 564) = 564

GCD(1, 564) = ( 1 x 564 ) / 564

= 1 / 564

= 1

Step3:

LCM(1, 918) = 918

GCD(1, 918) = ( 1 x 918 ) / 918

= 1 / 918

= 1

So, Greatest Common Divisor of 100, 749, 564, 918 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 210, 334, 517, 944
• GCD of 840, 829, 176, 913
• GCD of 376, 281, 998, 182
• GCD of 993, 728, 161, 209
• GCD of 726, 298, 361, 257

Given numbers are 100, 749, 564, 918
The greatest common divisor of numbers 100, 749, 564, 918 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 100, 749, 564, 918 is 1.

1. What is the GCD of 100, 749, 564, 918?

GCD of given numbers 100, 749, 564, 918 is 1

2. How to calculate the greatest common divisor of 100, 749, 564, 918?

We can find the highest common divisor of 100, 749, 564, 918 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, 749, 564, 918 i.e 1.

3. How can I use the GCD of 100, 749, 564, 918Calculator?

Out the numbers 100, 749, 564, 918 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.