GCD of 956, 802, 542, 998 Calculator

Given Input numbers are 956, 802, 542, 998

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

Divisors of 956 :

The positive integer divisors of 956 that completely divides 956 are.

1, 2, 4, 239, 478, 956

Divisors of 802 :

The positive integer divisors of 802 that completely divides 802 are.

1, 2, 401, 802

Divisors of 542 :

The positive integer divisors of 542 that completely divides 542 are.

1, 2, 271, 542

Divisors of 998 :

The positive integer divisors of 998 that completely divides 998 are.

1, 2, 499, 998

GCD of numbers is the greatest common divisor

So, the GCD (956, 802, 542, 998) = 2.

Given numbers are 956, 802, 542, 998

The list of prime factors of all numbers are

Prime factors of 956 are 2 x 2 x 239

Prime factors of 802 are 2 x 401

Prime factors of 542 are 2 x 271

Prime factors of 998 are 2 x 499

The highest common occurrence is 2¹

Therefore, GCD of 956, 802, 542, 998 is 2.

Given numbers are 956, 802, 542, 998

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

Apply this formula for all numbers.

Step1:

LCM(956, 802) = 383356

GCD(956, 802) = ( 956 x 802 ) / 383356

= 956 / 802

= 956

Step2:

LCM(2, 542) = 542

GCD(2, 542) = ( 2 x 542 ) / 542

= 2 / 542

= 2

Step3:

LCM(2, 998) = 998

GCD(2, 998) = ( 2 x 998 ) / 998

= 2 / 998

= 2

So, Greatest Common Divisor of 956, 802, 542, 998 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 577, 440, 637, 405
• GCD of 543, 808, 789, 903
• GCD of 790, 407, 920, 842
• GCD of 748, 476, 205, 215
• GCD of 499, 946, 600, 736

Given numbers are 956, 802, 542, 998
The greatest common divisor of numbers 956, 802, 542, 998 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 956, 802, 542, 998 is 2.

1. What is the GCD of 956, 802, 542, 998?

GCD of given numbers 956, 802, 542, 998 is 2

2. How to calculate the greatest common divisor of 956, 802, 542, 998?

We can find the highest common divisor of 956, 802, 542, 998 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 956, 802, 542, 998 i.e 2.

3. How can I use the GCD of 956, 802, 542, 998Calculator?

Out the numbers 956, 802, 542, 998 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.