GCD of 100, 429, 474, 741 Calculator

Given Input numbers are 100, 429, 474, 741

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 429 :

The positive integer divisors of 429 that completely divides 429 are.

1, 3, 11, 13, 33, 39, 143, 429

Divisors of 474 :

The positive integer divisors of 474 that completely divides 474 are.

1, 2, 3, 6, 79, 158, 237, 474

Divisors of 741 :

The positive integer divisors of 741 that completely divides 741 are.

1, 3, 13, 19, 39, 57, 247, 741

GCD of numbers is the greatest common divisor

So, the GCD (100, 429, 474, 741) = 1.

Given numbers are 100, 429, 474, 741

The list of prime factors of all numbers are

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

Prime factors of 429 are 3 x 11 x 13

Prime factors of 474 are 2 x 3 x 79

Prime factors of 741 are 3 x 13 x 19

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

Given numbers are 100, 429, 474, 741

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

Apply this formula for all numbers.

Step1:

LCM(100, 429) = 42900

GCD(100, 429) = ( 100 x 429 ) / 42900

= 100 / 429

= 100

Step2:

LCM(1, 474) = 474

GCD(1, 474) = ( 1 x 474 ) / 474

= 1 / 474

= 1

Step3:

LCM(1, 741) = 741

GCD(1, 741) = ( 1 x 741 ) / 741

= 1 / 741

= 1

So, Greatest Common Divisor of 100, 429, 474, 741 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 185, 420, 274, 185
• GCD of 157, 376, 497, 285
• GCD of 507, 641, 602, 883
• GCD of 568, 760, 836, 367
• GCD of 216, 840, 802, 480

Given numbers are 100, 429, 474, 741
The greatest common divisor of numbers 100, 429, 474, 741 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 100, 429, 474, 741 is 1.

1. What is the GCD of 100, 429, 474, 741?

GCD of given numbers 100, 429, 474, 741 is 1

2. How to calculate the greatest common divisor of 100, 429, 474, 741?

We can find the highest common divisor of 100, 429, 474, 741 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, 429, 474, 741 i.e 1.

3. How can I use the GCD of 100, 429, 474, 741Calculator?

Out the numbers 100, 429, 474, 741 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.