GCD of 949, 362, 313, 100 Calculator

Given Input numbers are 949, 362, 313, 100

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

Divisors of 949 :

The positive integer divisors of 949 that completely divides 949 are.

1, 13, 73, 949

Divisors of 362 :

The positive integer divisors of 362 that completely divides 362 are.

1, 2, 181, 362

Divisors of 313 :

The positive integer divisors of 313 that completely divides 313 are.

1, 313

Divisors of 100 :

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

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

GCD of numbers is the greatest common divisor

So, the GCD (949, 362, 313, 100) = 1.

Given numbers are 949, 362, 313, 100

The list of prime factors of all numbers are

Prime factors of 949 are 13 x 73

Prime factors of 362 are 2 x 181

Prime factors of 313 are 313

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

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

Given numbers are 949, 362, 313, 100

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

Apply this formula for all numbers.

Step1:

LCM(949, 362) = 343538

GCD(949, 362) = ( 949 x 362 ) / 343538

= 949 / 362

= 949

Step2:

LCM(1, 313) = 313

GCD(1, 313) = ( 1 x 313 ) / 313

= 1 / 313

= 1

Step3:

LCM(1, 100) = 100

GCD(1, 100) = ( 1 x 100 ) / 100

= 1 / 100

= 1

So, Greatest Common Divisor of 949, 362, 313, 100 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 556, 108, 757, 761
• GCD of 228, 947, 368, 948
• GCD of 982, 432, 967, 488
• GCD of 963, 985, 769, 998
• GCD of 757, 169, 805, 540

Given numbers are 949, 362, 313, 100
The greatest common divisor of numbers 949, 362, 313, 100 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 949, 362, 313, 100 is 1.

1. What is the GCD of 949, 362, 313, 100?

GCD of given numbers 949, 362, 313, 100 is 1

2. How to calculate the greatest common divisor of 949, 362, 313, 100?

We can find the highest common divisor of 949, 362, 313, 100 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 949, 362, 313, 100 i.e 1.

3. How can I use the GCD of 949, 362, 313, 100Calculator?

Out the numbers 949, 362, 313, 100 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.