GCD of 100, 464, 962, 380 Calculator

Given Input numbers are 100, 464, 962, 380

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 464 :

The positive integer divisors of 464 that completely divides 464 are.

1, 2, 4, 8, 16, 29, 58, 116, 232, 464

Divisors of 962 :

The positive integer divisors of 962 that completely divides 962 are.

1, 2, 13, 26, 37, 74, 481, 962

Divisors of 380 :

The positive integer divisors of 380 that completely divides 380 are.

1, 2, 4, 5, 10, 19, 20, 38, 76, 95, 190, 380

GCD of numbers is the greatest common divisor

So, the GCD (100, 464, 962, 380) = 2.

Given numbers are 100, 464, 962, 380

The list of prime factors of all numbers are

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

Prime factors of 464 are 2 x 2 x 2 x 2 x 29

Prime factors of 962 are 2 x 13 x 37

Prime factors of 380 are 2 x 2 x 5 x 19

The highest common occurrence is 2¹

Therefore, GCD of 100, 464, 962, 380 is 2.

Given numbers are 100, 464, 962, 380

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

Apply this formula for all numbers.

Step1:

LCM(100, 464) = 11600

GCD(100, 464) = ( 100 x 464 ) / 11600

= 100 / 464

= 100

Step2:

LCM(4, 962) = 1924

GCD(4, 962) = ( 4 x 962 ) / 1924

= 4 / 962

= 4

Step3:

LCM(2, 380) = 380

GCD(2, 380) = ( 2 x 380 ) / 380

= 2 / 380

= 2

So, Greatest Common Divisor of 100, 464, 962, 380 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 944, 897, 115, 934
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• GCD of 839, 863, 955, 481

Given numbers are 100, 464, 962, 380
The greatest common divisor of numbers 100, 464, 962, 380 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 100, 464, 962, 380 is 2.

1. What is the GCD of 100, 464, 962, 380?

GCD of given numbers 100, 464, 962, 380 is 2

2. How to calculate the greatest common divisor of 100, 464, 962, 380?

We can find the highest common divisor of 100, 464, 962, 380 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, 464, 962, 380 i.e 2.

3. How can I use the GCD of 100, 464, 962, 380Calculator?

Out the numbers 100, 464, 962, 380 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.