GCD of 100, 196, 249, 947 Calculator

Given Input numbers are 100, 196, 249, 947

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 196 :

The positive integer divisors of 196 that completely divides 196 are.

1, 2, 4, 7, 14, 28, 49, 98, 196

Divisors of 249 :

The positive integer divisors of 249 that completely divides 249 are.

1, 3, 83, 249

Divisors of 947 :

The positive integer divisors of 947 that completely divides 947 are.

1, 947

GCD of numbers is the greatest common divisor

So, the GCD (100, 196, 249, 947) = 1.

Given numbers are 100, 196, 249, 947

The list of prime factors of all numbers are

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

Prime factors of 196 are 2 x 2 x 7 x 7

Prime factors of 249 are 3 x 83

Prime factors of 947 are 947

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

Given numbers are 100, 196, 249, 947

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

Apply this formula for all numbers.

Step1:

LCM(100, 196) = 4900

GCD(100, 196) = ( 100 x 196 ) / 4900

= 100 / 196

= 100

Step2:

LCM(4, 249) = 996

GCD(4, 249) = ( 4 x 249 ) / 996

= 4 / 249

= 4

Step3:

LCM(1, 947) = 947

GCD(1, 947) = ( 1 x 947 ) / 947

= 1 / 947

= 1

So, Greatest Common Divisor of 100, 196, 249, 947 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 168, 301, 386, 757
• GCD of 338, 813, 846, 416
• GCD of 588, 179, 289, 911
• GCD of 413, 652, 547, 618
• GCD of 715, 754, 958, 188

Given numbers are 100, 196, 249, 947
The greatest common divisor of numbers 100, 196, 249, 947 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 100, 196, 249, 947 is 1.

1. What is the GCD of 100, 196, 249, 947?

GCD of given numbers 100, 196, 249, 947 is 1

2. How to calculate the greatest common divisor of 100, 196, 249, 947?

We can find the highest common divisor of 100, 196, 249, 947 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, 196, 249, 947 i.e 1.

3. How can I use the GCD of 100, 196, 249, 947Calculator?

Out the numbers 100, 196, 249, 947 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.