GCD of 992, 160, 714, 821 Calculator

Given Input numbers are 992, 160, 714, 821

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

Divisors of 992 :

The positive integer divisors of 992 that completely divides 992 are.

1, 2, 4, 8, 16, 31, 32, 62, 124, 248, 496, 992

Divisors of 160 :

The positive integer divisors of 160 that completely divides 160 are.

1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 80, 160

Divisors of 714 :

The positive integer divisors of 714 that completely divides 714 are.

1, 2, 3, 6, 7, 14, 17, 21, 34, 42, 51, 102, 119, 238, 357, 714

Divisors of 821 :

The positive integer divisors of 821 that completely divides 821 are.

1, 821

GCD of numbers is the greatest common divisor

So, the GCD (992, 160, 714, 821) = 1.

Given numbers are 992, 160, 714, 821

The list of prime factors of all numbers are

Prime factors of 992 are 2 x 2 x 2 x 2 x 2 x 31

Prime factors of 160 are 2 x 2 x 2 x 2 x 2 x 5

Prime factors of 714 are 2 x 3 x 7 x 17

Prime factors of 821 are 821

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

Given numbers are 992, 160, 714, 821

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

Apply this formula for all numbers.

Step1:

LCM(992, 160) = 4960

GCD(992, 160) = ( 992 x 160 ) / 4960

= 992 / 160

= 992

Step2:

LCM(32, 714) = 11424

GCD(32, 714) = ( 32 x 714 ) / 11424

= 32 / 714

= 32

Step3:

LCM(2, 821) = 1642

GCD(2, 821) = ( 2 x 821 ) / 1642

= 2 / 821

= 2

So, Greatest Common Divisor of 992, 160, 714, 821 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 712, 108, 765, 125
• GCD of 255, 493, 576, 924
• GCD of 985, 334, 850, 191
• GCD of 642, 313, 996, 373
• GCD of 619, 614, 721, 200

Given numbers are 992, 160, 714, 821
The greatest common divisor of numbers 992, 160, 714, 821 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 992, 160, 714, 821 is 1.

1. What is the GCD of 992, 160, 714, 821?

GCD of given numbers 992, 160, 714, 821 is 1

2. How to calculate the greatest common divisor of 992, 160, 714, 821?

We can find the highest common divisor of 992, 160, 714, 821 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 992, 160, 714, 821 i.e 1.

3. How can I use the GCD of 992, 160, 714, 821Calculator?

Out the numbers 992, 160, 714, 821 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.