GCD of 967, 914, 929, 100 Calculator

Given Input numbers are 967, 914, 929, 100

In the factoring method, we have to find the divisors of all numbers

Divisors of 967 :

The positive integer divisors of 967 that completely divides 967 are.

1, 967

Divisors of 914 :

The positive integer divisors of 914 that completely divides 914 are.

1, 2, 457, 914

Divisors of 929 :

The positive integer divisors of 929 that completely divides 929 are.

1, 929

Divisors of 100 :

The positive integer divisors of 100 that completely divides 100 are.

1, 2, 4, 5, 10, 20, 25, 50, 100

GCD of numbers is the greatest common divisor

So, the GCD (967, 914, 929, 100) = 1.

Given numbers are 967, 914, 929, 100

The list of prime factors of all numbers are

Prime factors of 967 are 967

Prime factors of 914 are 2 x 457

Prime factors of 929 are 929

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

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

Given numbers are 967, 914, 929, 100

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

Apply this formula for all numbers.

Step1:

LCM(967, 914) = 883838

GCD(967, 914) = ( 967 x 914 ) / 883838

= 967 / 914

= 967

Step2:

LCM(1, 929) = 929

GCD(1, 929) = ( 1 x 929 ) / 929

= 1 / 929

= 1

Step3:

LCM(1, 100) = 100

GCD(1, 100) = ( 1 x 100 ) / 100

= 1 / 100

= 1

So, Greatest Common Divisor of 967, 914, 929, 100 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 111, 233, 362, 287
• GCD of 385, 891, 171, 883
• GCD of 260, 725, 488, 877
• GCD of 187, 684, 471, 158
• GCD of 848, 756, 902, 482

Given numbers are 967, 914, 929, 100
The greatest common divisor of numbers 967, 914, 929, 100 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 967, 914, 929, 100 is 1.

1. What is the GCD of 967, 914, 929, 100?

GCD of given numbers 967, 914, 929, 100 is 1

2. How to calculate the greatest common divisor of 967, 914, 929, 100?

We can find the highest common divisor of 967, 914, 929, 100 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 967, 914, 929, 100 i.e 1.

3. How can I use the GCD of 967, 914, 929, 100Calculator?

Out the numbers 967, 914, 929, 100 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.