GCD of 100, 428, 871, 889 Calculator

Given Input numbers are 100, 428, 871, 889

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 428 :

The positive integer divisors of 428 that completely divides 428 are.

1, 2, 4, 107, 214, 428

Divisors of 871 :

The positive integer divisors of 871 that completely divides 871 are.

1, 13, 67, 871

Divisors of 889 :

The positive integer divisors of 889 that completely divides 889 are.

1, 7, 127, 889

GCD of numbers is the greatest common divisor

So, the GCD (100, 428, 871, 889) = 1.

Given numbers are 100, 428, 871, 889

The list of prime factors of all numbers are

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

Prime factors of 428 are 2 x 2 x 107

Prime factors of 871 are 13 x 67

Prime factors of 889 are 7 x 127

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

Given numbers are 100, 428, 871, 889

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

Apply this formula for all numbers.

Step1:

LCM(100, 428) = 10700

GCD(100, 428) = ( 100 x 428 ) / 10700

= 100 / 428

= 100

Step2:

LCM(4, 871) = 3484

GCD(4, 871) = ( 4 x 871 ) / 3484

= 4 / 871

= 4

Step3:

LCM(1, 889) = 889

GCD(1, 889) = ( 1 x 889 ) / 889

= 1 / 889

= 1

So, Greatest Common Divisor of 100, 428, 871, 889 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 396, 787, 460, 674
• GCD of 927, 349, 748, 785
• GCD of 292, 369, 236, 821
• GCD of 161, 393, 331, 628
• GCD of 153, 216, 817, 597

Given numbers are 100, 428, 871, 889
The greatest common divisor of numbers 100, 428, 871, 889 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 100, 428, 871, 889 is 1.

1. What is the GCD of 100, 428, 871, 889?

GCD of given numbers 100, 428, 871, 889 is 1

2. How to calculate the greatest common divisor of 100, 428, 871, 889?

We can find the highest common divisor of 100, 428, 871, 889 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, 428, 871, 889 i.e 1.

3. How can I use the GCD of 100, 428, 871, 889Calculator?

Out the numbers 100, 428, 871, 889 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.