GCD of 696, 306, 980, 492 Calculator

Given Input numbers are 696, 306, 980, 492

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

Divisors of 696 :

The positive integer divisors of 696 that completely divides 696 are.

1, 2, 3, 4, 6, 8, 12, 24, 29, 58, 87, 116, 174, 232, 348, 696

Divisors of 306 :

The positive integer divisors of 306 that completely divides 306 are.

1, 2, 3, 6, 9, 17, 18, 34, 51, 102, 153, 306

Divisors of 980 :

The positive integer divisors of 980 that completely divides 980 are.

1, 2, 4, 5, 7, 10, 14, 20, 28, 35, 49, 70, 98, 140, 196, 245, 490, 980

Divisors of 492 :

The positive integer divisors of 492 that completely divides 492 are.

1, 2, 3, 4, 6, 12, 41, 82, 123, 164, 246, 492

GCD of numbers is the greatest common divisor

So, the GCD (696, 306, 980, 492) = 2.

Given numbers are 696, 306, 980, 492

The list of prime factors of all numbers are

Prime factors of 696 are 2 x 2 x 2 x 3 x 29

Prime factors of 306 are 2 x 3 x 3 x 17

Prime factors of 980 are 2 x 2 x 5 x 7 x 7

Prime factors of 492 are 2 x 2 x 3 x 41

The highest common occurrence is 2¹

Therefore, GCD of 696, 306, 980, 492 is 2.

Given numbers are 696, 306, 980, 492

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

Apply this formula for all numbers.

Step1:

LCM(696, 306) = 35496

GCD(696, 306) = ( 696 x 306 ) / 35496

= 696 / 306

= 696

Step2:

LCM(6, 980) = 2940

GCD(6, 980) = ( 6 x 980 ) / 2940

= 6 / 980

= 6

Step3:

LCM(2, 492) = 492

GCD(2, 492) = ( 2 x 492 ) / 492

= 2 / 492

= 2

So, Greatest Common Divisor of 696, 306, 980, 492 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 133, 464, 278, 466
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• GCD of 243, 714, 529, 647
• GCD of 804, 247, 607, 747
• GCD of 810, 662, 832, 100

Given numbers are 696, 306, 980, 492
The greatest common divisor of numbers 696, 306, 980, 492 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 696, 306, 980, 492 is 2.

1. What is the GCD of 696, 306, 980, 492?

GCD of given numbers 696, 306, 980, 492 is 2

2. How to calculate the greatest common divisor of 696, 306, 980, 492?

We can find the highest common divisor of 696, 306, 980, 492 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 696, 306, 980, 492 i.e 2.

3. How can I use the GCD of 696, 306, 980, 492Calculator?

Out the numbers 696, 306, 980, 492 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.