GCD of 820, 705, 980, 497 Calculator

Given Input numbers are 820, 705, 980, 497

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

Divisors of 820 :

The positive integer divisors of 820 that completely divides 820 are.

1, 2, 4, 5, 10, 20, 41, 82, 164, 205, 410, 820

Divisors of 705 :

The positive integer divisors of 705 that completely divides 705 are.

1, 3, 5, 15, 47, 141, 235, 705

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 497 :

The positive integer divisors of 497 that completely divides 497 are.

1, 7, 71, 497

GCD of numbers is the greatest common divisor

So, the GCD (820, 705, 980, 497) = 1.

Given numbers are 820, 705, 980, 497

The list of prime factors of all numbers are

Prime factors of 820 are 2 x 2 x 5 x 41

Prime factors of 705 are 3 x 5 x 47

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

Prime factors of 497 are 7 x 71

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

Given numbers are 820, 705, 980, 497

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

Apply this formula for all numbers.

Step1:

LCM(820, 705) = 115620

GCD(820, 705) = ( 820 x 705 ) / 115620

= 820 / 705

= 820

Step2:

LCM(5, 980) = 980

GCD(5, 980) = ( 5 x 980 ) / 980

= 5 / 980

= 5

Step3:

LCM(5, 497) = 2485

GCD(5, 497) = ( 5 x 497 ) / 2485

= 5 / 497

= 5

So, Greatest Common Divisor of 820, 705, 980, 497 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 586, 983, 172, 700
• GCD of 341, 411, 682, 805
• GCD of 595, 679, 100, 507
• GCD of 997, 377, 214, 907
• GCD of 214, 949, 310, 943

Given numbers are 820, 705, 980, 497
The greatest common divisor of numbers 820, 705, 980, 497 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 820, 705, 980, 497 is 1.

1. What is the GCD of 820, 705, 980, 497?

GCD of given numbers 820, 705, 980, 497 is 1

2. How to calculate the greatest common divisor of 820, 705, 980, 497?

We can find the highest common divisor of 820, 705, 980, 497 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 820, 705, 980, 497 i.e 1.

3. How can I use the GCD of 820, 705, 980, 497Calculator?

Out the numbers 820, 705, 980, 497 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.