GCD of 715, 442, 920, 874 Calculator

Given Input numbers are 715, 442, 920, 874

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

Divisors of 715 :

The positive integer divisors of 715 that completely divides 715 are.

1, 5, 11, 13, 55, 65, 143, 715

Divisors of 442 :

The positive integer divisors of 442 that completely divides 442 are.

1, 2, 13, 17, 26, 34, 221, 442

Divisors of 920 :

The positive integer divisors of 920 that completely divides 920 are.

1, 2, 4, 5, 8, 10, 20, 23, 40, 46, 92, 115, 184, 230, 460, 920

Divisors of 874 :

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

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

GCD of numbers is the greatest common divisor

So, the GCD (715, 442, 920, 874) = 1.

Given numbers are 715, 442, 920, 874

The list of prime factors of all numbers are

Prime factors of 715 are 5 x 11 x 13

Prime factors of 442 are 2 x 13 x 17

Prime factors of 920 are 2 x 2 x 2 x 5 x 23

Prime factors of 874 are 2 x 19 x 23

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

Given numbers are 715, 442, 920, 874

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

Apply this formula for all numbers.

Step1:

LCM(715, 442) = 24310

GCD(715, 442) = ( 715 x 442 ) / 24310

= 715 / 442

= 715

Step2:

LCM(13, 920) = 11960

GCD(13, 920) = ( 13 x 920 ) / 11960

= 13 / 920

= 13

Step3:

LCM(1, 874) = 874

GCD(1, 874) = ( 1 x 874 ) / 874

= 1 / 874

= 1

So, Greatest Common Divisor of 715, 442, 920, 874 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 473, 704, 486, 315
• GCD of 754, 199, 306, 134
• GCD of 966, 310, 574, 467
• GCD of 109, 979, 482, 635
• GCD of 991, 778, 556, 254

Given numbers are 715, 442, 920, 874
The greatest common divisor of numbers 715, 442, 920, 874 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 715, 442, 920, 874 is 1.

1. What is the GCD of 715, 442, 920, 874?

GCD of given numbers 715, 442, 920, 874 is 1

2. How to calculate the greatest common divisor of 715, 442, 920, 874?

We can find the highest common divisor of 715, 442, 920, 874 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 715, 442, 920, 874 i.e 1.

3. How can I use the GCD of 715, 442, 920, 874Calculator?

Out the numbers 715, 442, 920, 874 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.