GCD of 100, 807, 725, 742 Calculator

Given Input numbers are 100, 807, 725, 742

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 807 :

The positive integer divisors of 807 that completely divides 807 are.

1, 3, 269, 807

Divisors of 725 :

The positive integer divisors of 725 that completely divides 725 are.

1, 5, 25, 29, 145, 725

Divisors of 742 :

The positive integer divisors of 742 that completely divides 742 are.

1, 2, 7, 14, 53, 106, 371, 742

GCD of numbers is the greatest common divisor

So, the GCD (100, 807, 725, 742) = 1.

Given numbers are 100, 807, 725, 742

The list of prime factors of all numbers are

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

Prime factors of 807 are 3 x 269

Prime factors of 725 are 5 x 5 x 29

Prime factors of 742 are 2 x 7 x 53

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

Given numbers are 100, 807, 725, 742

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

Apply this formula for all numbers.

Step1:

LCM(100, 807) = 80700

GCD(100, 807) = ( 100 x 807 ) / 80700

= 100 / 807

= 100

Step2:

LCM(1, 725) = 725

GCD(1, 725) = ( 1 x 725 ) / 725

= 1 / 725

= 1

Step3:

LCM(1, 742) = 742

GCD(1, 742) = ( 1 x 742 ) / 742

= 1 / 742

= 1

So, Greatest Common Divisor of 100, 807, 725, 742 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 983, 652, 149, 507
• GCD of 967, 344, 462, 680
• GCD of 397, 496, 796, 976
• GCD of 384, 335, 580, 854
• GCD of 258, 693, 549, 244

Given numbers are 100, 807, 725, 742
The greatest common divisor of numbers 100, 807, 725, 742 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 100, 807, 725, 742 is 1.

1. What is the GCD of 100, 807, 725, 742?

GCD of given numbers 100, 807, 725, 742 is 1

2. How to calculate the greatest common divisor of 100, 807, 725, 742?

We can find the highest common divisor of 100, 807, 725, 742 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, 807, 725, 742 i.e 1.

3. How can I use the GCD of 100, 807, 725, 742Calculator?

Out the numbers 100, 807, 725, 742 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.