GCD of 874, 432, 667, 991 Calculator

Given Input numbers are 874, 432, 667, 991

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

Divisors of 874 :

The positive integer divisors of 874 that completely divides 874 are.

1, 2, 19, 23, 38, 46, 437, 874

Divisors of 432 :

The positive integer divisors of 432 that completely divides 432 are.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 27, 36, 48, 54, 72, 108, 144, 216, 432

Divisors of 667 :

The positive integer divisors of 667 that completely divides 667 are.

1, 23, 29, 667

Divisors of 991 :

The positive integer divisors of 991 that completely divides 991 are.

1, 991

GCD of numbers is the greatest common divisor

So, the GCD (874, 432, 667, 991) = 1.

Given numbers are 874, 432, 667, 991

The list of prime factors of all numbers are

Prime factors of 874 are 2 x 19 x 23

Prime factors of 432 are 2 x 2 x 2 x 2 x 3 x 3 x 3

Prime factors of 667 are 23 x 29

Prime factors of 991 are 991

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

Given numbers are 874, 432, 667, 991

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

Apply this formula for all numbers.

Step1:

LCM(874, 432) = 188784

GCD(874, 432) = ( 874 x 432 ) / 188784

= 874 / 432

= 874

Step2:

LCM(2, 667) = 1334

GCD(2, 667) = ( 2 x 667 ) / 1334

= 2 / 667

= 2

Step3:

LCM(1, 991) = 991

GCD(1, 991) = ( 1 x 991 ) / 991

= 1 / 991

= 1

So, Greatest Common Divisor of 874, 432, 667, 991 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 118, 287, 952, 893
• GCD of 970, 144, 345, 143
• GCD of 515, 574, 244, 697
• GCD of 324, 857, 929, 398
• GCD of 637, 213, 420, 857

Given numbers are 874, 432, 667, 991
The greatest common divisor of numbers 874, 432, 667, 991 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 874, 432, 667, 991 is 1.

1. What is the GCD of 874, 432, 667, 991?

GCD of given numbers 874, 432, 667, 991 is 1

2. How to calculate the greatest common divisor of 874, 432, 667, 991?

We can find the highest common divisor of 874, 432, 667, 991 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 874, 432, 667, 991 i.e 1.

3. How can I use the GCD of 874, 432, 667, 991Calculator?

Out the numbers 874, 432, 667, 991 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.