GCD of 100, 989, 742, 505 Calculator

Given Input numbers are 100, 989, 742, 505

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 989 :

The positive integer divisors of 989 that completely divides 989 are.

1, 23, 43, 989

Divisors of 742 :

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

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

Divisors of 505 :

The positive integer divisors of 505 that completely divides 505 are.

1, 5, 101, 505

GCD of numbers is the greatest common divisor

So, the GCD (100, 989, 742, 505) = 1.

Given numbers are 100, 989, 742, 505

The list of prime factors of all numbers are

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

Prime factors of 989 are 23 x 43

Prime factors of 742 are 2 x 7 x 53

Prime factors of 505 are 5 x 101

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

Given numbers are 100, 989, 742, 505

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

Apply this formula for all numbers.

Step1:

LCM(100, 989) = 98900

GCD(100, 989) = ( 100 x 989 ) / 98900

= 100 / 989

= 100

Step2:

LCM(1, 742) = 742

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

= 1 / 742

= 1

Step3:

LCM(1, 505) = 505

GCD(1, 505) = ( 1 x 505 ) / 505

= 1 / 505

= 1

So, Greatest Common Divisor of 100, 989, 742, 505 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 909, 722, 295, 350
• GCD of 145, 921, 972, 212
• GCD of 916, 193, 908, 479
• GCD of 227, 705, 795, 980
• GCD of 680, 844, 158, 622

Given numbers are 100, 989, 742, 505
The greatest common divisor of numbers 100, 989, 742, 505 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 100, 989, 742, 505 is 1.

1. What is the GCD of 100, 989, 742, 505?

GCD of given numbers 100, 989, 742, 505 is 1

2. How to calculate the greatest common divisor of 100, 989, 742, 505?

We can find the highest common divisor of 100, 989, 742, 505 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, 989, 742, 505 i.e 1.

3. How can I use the GCD of 100, 989, 742, 505Calculator?

Out the numbers 100, 989, 742, 505 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.