GCD of 918, 534, 698, 876 Calculator

Given Input numbers are 918, 534, 698, 876

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

Divisors of 918 :

The positive integer divisors of 918 that completely divides 918 are.

1, 2, 3, 6, 9, 17, 18, 27, 34, 51, 54, 102, 153, 306, 459, 918

Divisors of 534 :

The positive integer divisors of 534 that completely divides 534 are.

1, 2, 3, 6, 89, 178, 267, 534

Divisors of 698 :

The positive integer divisors of 698 that completely divides 698 are.

1, 2, 349, 698

Divisors of 876 :

The positive integer divisors of 876 that completely divides 876 are.

1, 2, 3, 4, 6, 12, 73, 146, 219, 292, 438, 876

GCD of numbers is the greatest common divisor

So, the GCD (918, 534, 698, 876) = 2.

Given numbers are 918, 534, 698, 876

The list of prime factors of all numbers are

Prime factors of 918 are 2 x 3 x 3 x 3 x 17

Prime factors of 534 are 2 x 3 x 89

Prime factors of 698 are 2 x 349

Prime factors of 876 are 2 x 2 x 3 x 73

The highest common occurrence is 2¹

Therefore, GCD of 918, 534, 698, 876 is 2.

Given numbers are 918, 534, 698, 876

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

Apply this formula for all numbers.

Step1:

LCM(918, 534) = 81702

GCD(918, 534) = ( 918 x 534 ) / 81702

= 918 / 534

= 918

Step2:

LCM(6, 698) = 2094

GCD(6, 698) = ( 6 x 698 ) / 2094

= 6 / 698

= 6

Step3:

LCM(2, 876) = 876

GCD(2, 876) = ( 2 x 876 ) / 876

= 2 / 876

= 2

So, Greatest Common Divisor of 918, 534, 698, 876 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 646, 332, 546, 625
• GCD of 912, 750, 795, 228
• GCD of 522, 858, 578, 646
• GCD of 293, 577, 601, 566
• GCD of 366, 694, 285, 101

Given numbers are 918, 534, 698, 876
The greatest common divisor of numbers 918, 534, 698, 876 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 918, 534, 698, 876 is 2.

1. What is the GCD of 918, 534, 698, 876?

GCD of given numbers 918, 534, 698, 876 is 2

2. How to calculate the greatest common divisor of 918, 534, 698, 876?

We can find the highest common divisor of 918, 534, 698, 876 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 918, 534, 698, 876 i.e 2.

3. How can I use the GCD of 918, 534, 698, 876Calculator?

Out the numbers 918, 534, 698, 876 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.