GCD of 100, 736, 578, 460 Calculator

Given Input numbers are 100, 736, 578, 460

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 736 :

The positive integer divisors of 736 that completely divides 736 are.

1, 2, 4, 8, 16, 23, 32, 46, 92, 184, 368, 736

Divisors of 578 :

The positive integer divisors of 578 that completely divides 578 are.

1, 2, 17, 34, 289, 578

Divisors of 460 :

The positive integer divisors of 460 that completely divides 460 are.

1, 2, 4, 5, 10, 20, 23, 46, 92, 115, 230, 460

GCD of numbers is the greatest common divisor

So, the GCD (100, 736, 578, 460) = 2.

Given numbers are 100, 736, 578, 460

The list of prime factors of all numbers are

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

Prime factors of 736 are 2 x 2 x 2 x 2 x 2 x 23

Prime factors of 578 are 2 x 17 x 17

Prime factors of 460 are 2 x 2 x 5 x 23

The highest common occurrence is 2¹

Therefore, GCD of 100, 736, 578, 460 is 2.

Given numbers are 100, 736, 578, 460

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

Apply this formula for all numbers.

Step1:

LCM(100, 736) = 18400

GCD(100, 736) = ( 100 x 736 ) / 18400

= 100 / 736

= 100

Step2:

LCM(4, 578) = 1156

GCD(4, 578) = ( 4 x 578 ) / 1156

= 4 / 578

= 4

Step3:

LCM(2, 460) = 460

GCD(2, 460) = ( 2 x 460 ) / 460

= 2 / 460

= 2

So, Greatest Common Divisor of 100, 736, 578, 460 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 783, 766, 683, 340
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• GCD of 862, 641, 309, 280
• GCD of 175, 291, 676, 916

Given numbers are 100, 736, 578, 460
The greatest common divisor of numbers 100, 736, 578, 460 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 100, 736, 578, 460 is 2.

1. What is the GCD of 100, 736, 578, 460?

GCD of given numbers 100, 736, 578, 460 is 2

2. How to calculate the greatest common divisor of 100, 736, 578, 460?

We can find the highest common divisor of 100, 736, 578, 460 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, 736, 578, 460 i.e 2.

3. How can I use the GCD of 100, 736, 578, 460Calculator?

Out the numbers 100, 736, 578, 460 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.