GCD of 690, 978, 861, 534 Calculator

Given Input numbers are 690, 978, 861, 534

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

Divisors of 690 :

The positive integer divisors of 690 that completely divides 690 are.

1, 2, 3, 5, 6, 10, 15, 23, 30, 46, 69, 115, 138, 230, 345, 690

Divisors of 978 :

The positive integer divisors of 978 that completely divides 978 are.

1, 2, 3, 6, 163, 326, 489, 978

Divisors of 861 :

The positive integer divisors of 861 that completely divides 861 are.

1, 3, 7, 21, 41, 123, 287, 861

Divisors of 534 :

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

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

GCD of numbers is the greatest common divisor

So, the GCD (690, 978, 861, 534) = 3.

Given numbers are 690, 978, 861, 534

The list of prime factors of all numbers are

Prime factors of 690 are 2 x 3 x 5 x 23

Prime factors of 978 are 2 x 3 x 163

Prime factors of 861 are 3 x 7 x 41

Prime factors of 534 are 2 x 3 x 89

The highest common occurrence is 3¹

Therefore, GCD of 690, 978, 861, 534 is 3.

Given numbers are 690, 978, 861, 534

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

Apply this formula for all numbers.

Step1:

LCM(690, 978) = 112470

GCD(690, 978) = ( 690 x 978 ) / 112470

= 690 / 978

= 690

Step2:

LCM(6, 861) = 1722

GCD(6, 861) = ( 6 x 861 ) / 1722

= 6 / 861

= 6

Step3:

LCM(3, 534) = 534

GCD(3, 534) = ( 3 x 534 ) / 534

= 3 / 534

= 3

So, Greatest Common Divisor of 690, 978, 861, 534 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 619, 717, 275, 660
• GCD of 958, 953, 855, 702
• GCD of 753, 418, 817, 953
• GCD of 432, 499, 146, 431
• GCD of 842, 894, 286, 550

Given numbers are 690, 978, 861, 534
The greatest common divisor of numbers 690, 978, 861, 534 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 690, 978, 861, 534 is 3.

1. What is the GCD of 690, 978, 861, 534?

GCD of given numbers 690, 978, 861, 534 is 3

2. How to calculate the greatest common divisor of 690, 978, 861, 534?

We can find the highest common divisor of 690, 978, 861, 534 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 690, 978, 861, 534 i.e 3.

3. How can I use the GCD of 690, 978, 861, 534Calculator?

Out the numbers 690, 978, 861, 534 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.