GCD of 100, 953, 691, 360 Calculator

Given Input numbers are 100, 953, 691, 360

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 953 :

The positive integer divisors of 953 that completely divides 953 are.

1, 953

Divisors of 691 :

The positive integer divisors of 691 that completely divides 691 are.

1, 691

Divisors of 360 :

The positive integer divisors of 360 that completely divides 360 are.

1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 18, 20, 24, 30, 36, 40, 45, 60, 72, 90, 120, 180, 360

GCD of numbers is the greatest common divisor

So, the GCD (100, 953, 691, 360) = 1.

Given numbers are 100, 953, 691, 360

The list of prime factors of all numbers are

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

Prime factors of 953 are 953

Prime factors of 691 are 691

Prime factors of 360 are 2 x 2 x 2 x 3 x 3 x 5

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

Given numbers are 100, 953, 691, 360

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

Apply this formula for all numbers.

Step1:

LCM(100, 953) = 95300

GCD(100, 953) = ( 100 x 953 ) / 95300

= 100 / 953

= 100

Step2:

LCM(1, 691) = 691

GCD(1, 691) = ( 1 x 691 ) / 691

= 1 / 691

= 1

Step3:

LCM(1, 360) = 360

GCD(1, 360) = ( 1 x 360 ) / 360

= 1 / 360

= 1

So, Greatest Common Divisor of 100, 953, 691, 360 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 295, 963, 752, 122
• GCD of 559, 819, 993, 469
• GCD of 173, 884, 947, 259
• GCD of 968, 327, 673, 103
• GCD of 783, 301, 657, 690

Given numbers are 100, 953, 691, 360
The greatest common divisor of numbers 100, 953, 691, 360 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 100, 953, 691, 360 is 1.

1. What is the GCD of 100, 953, 691, 360?

GCD of given numbers 100, 953, 691, 360 is 1

2. How to calculate the greatest common divisor of 100, 953, 691, 360?

We can find the highest common divisor of 100, 953, 691, 360 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, 953, 691, 360 i.e 1.

3. How can I use the GCD of 100, 953, 691, 360Calculator?

Out the numbers 100, 953, 691, 360 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.