GCD of 722, 858, 735, 987 Calculator

Given Input numbers are 722, 858, 735, 987

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

Divisors of 722 :

The positive integer divisors of 722 that completely divides 722 are.

1, 2, 19, 38, 361, 722

Divisors of 858 :

The positive integer divisors of 858 that completely divides 858 are.

1, 2, 3, 6, 11, 13, 22, 26, 33, 39, 66, 78, 143, 286, 429, 858

Divisors of 735 :

The positive integer divisors of 735 that completely divides 735 are.

1, 3, 5, 7, 15, 21, 35, 49, 105, 147, 245, 735

Divisors of 987 :

The positive integer divisors of 987 that completely divides 987 are.

1, 3, 7, 21, 47, 141, 329, 987

GCD of numbers is the greatest common divisor

So, the GCD (722, 858, 735, 987) = 1.

Given numbers are 722, 858, 735, 987

The list of prime factors of all numbers are

Prime factors of 722 are 2 x 19 x 19

Prime factors of 858 are 2 x 3 x 11 x 13

Prime factors of 735 are 3 x 5 x 7 x 7

Prime factors of 987 are 3 x 7 x 47

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

Given numbers are 722, 858, 735, 987

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

Apply this formula for all numbers.

Step1:

LCM(722, 858) = 309738

GCD(722, 858) = ( 722 x 858 ) / 309738

= 722 / 858

= 722

Step2:

LCM(2, 735) = 1470

GCD(2, 735) = ( 2 x 735 ) / 1470

= 2 / 735

= 2

Step3:

LCM(1, 987) = 987

GCD(1, 987) = ( 1 x 987 ) / 987

= 1 / 987

= 1

So, Greatest Common Divisor of 722, 858, 735, 987 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 275, 697, 176, 243
• GCD of 448, 727, 579, 868
• GCD of 798, 114, 970, 165
• GCD of 879, 567, 534, 343
• GCD of 836, 921, 750, 110

Given numbers are 722, 858, 735, 987
The greatest common divisor of numbers 722, 858, 735, 987 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 722, 858, 735, 987 is 1.

1. What is the GCD of 722, 858, 735, 987?

GCD of given numbers 722, 858, 735, 987 is 1

2. How to calculate the greatest common divisor of 722, 858, 735, 987?

We can find the highest common divisor of 722, 858, 735, 987 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 722, 858, 735, 987 i.e 1.

3. How can I use the GCD of 722, 858, 735, 987Calculator?

Out the numbers 722, 858, 735, 987 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.