GCD of 100, 705, 918, 635 Calculator

Given Input numbers are 100, 705, 918, 635

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 705 :

The positive integer divisors of 705 that completely divides 705 are.

1, 3, 5, 15, 47, 141, 235, 705

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

Divisors of 635 :

The positive integer divisors of 635 that completely divides 635 are.

1, 5, 127, 635

GCD of numbers is the greatest common divisor

So, the GCD (100, 705, 918, 635) = 1.

Given numbers are 100, 705, 918, 635

The list of prime factors of all numbers are

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

Prime factors of 705 are 3 x 5 x 47

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

Prime factors of 635 are 5 x 127

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

Given numbers are 100, 705, 918, 635

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

Apply this formula for all numbers.

Step1:

LCM(100, 705) = 14100

GCD(100, 705) = ( 100 x 705 ) / 14100

= 100 / 705

= 100

Step2:

LCM(5, 918) = 4590

GCD(5, 918) = ( 5 x 918 ) / 4590

= 5 / 918

= 5

Step3:

LCM(1, 635) = 635

GCD(1, 635) = ( 1 x 635 ) / 635

= 1 / 635

= 1

So, Greatest Common Divisor of 100, 705, 918, 635 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 413, 447, 310, 784
• GCD of 452, 736, 950, 622
• GCD of 911, 913, 692, 915
• GCD of 390, 406, 720, 184
• GCD of 183, 371, 122, 153

Given numbers are 100, 705, 918, 635
The greatest common divisor of numbers 100, 705, 918, 635 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 100, 705, 918, 635 is 1.

1. What is the GCD of 100, 705, 918, 635?

GCD of given numbers 100, 705, 918, 635 is 1

2. How to calculate the greatest common divisor of 100, 705, 918, 635?

We can find the highest common divisor of 100, 705, 918, 635 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, 705, 918, 635 i.e 1.

3. How can I use the GCD of 100, 705, 918, 635Calculator?

Out the numbers 100, 705, 918, 635 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.