GCD of 492, 820, 428, 677 Calculator

Given Input numbers are 492, 820, 428, 677

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

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

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 428 :

The positive integer divisors of 428 that completely divides 428 are.

1, 2, 4, 107, 214, 428

Divisors of 677 :

The positive integer divisors of 677 that completely divides 677 are.

1, 677

GCD of numbers is the greatest common divisor

So, the GCD (492, 820, 428, 677) = 1.

Given numbers are 492, 820, 428, 677

The list of prime factors of all numbers are

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

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

Prime factors of 428 are 2 x 2 x 107

Prime factors of 677 are 677

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

Given numbers are 492, 820, 428, 677

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

Apply this formula for all numbers.

Step1:

LCM(492, 820) = 2460

GCD(492, 820) = ( 492 x 820 ) / 2460

= 492 / 820

= 492

Step2:

LCM(164, 428) = 17548

GCD(164, 428) = ( 164 x 428 ) / 17548

= 164 / 428

= 164

Step3:

LCM(4, 677) = 2708

GCD(4, 677) = ( 4 x 677 ) / 2708

= 4 / 677

= 4

So, Greatest Common Divisor of 492, 820, 428, 677 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 253, 507, 578, 113
• GCD of 231, 826, 990, 395
• GCD of 391, 343, 709, 748
• GCD of 222, 617, 749, 740
• GCD of 389, 207, 243, 842

Given numbers are 492, 820, 428, 677
The greatest common divisor of numbers 492, 820, 428, 677 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 492, 820, 428, 677 is 1.

1. What is the GCD of 492, 820, 428, 677?

GCD of given numbers 492, 820, 428, 677 is 1

2. How to calculate the greatest common divisor of 492, 820, 428, 677?

We can find the highest common divisor of 492, 820, 428, 677 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 492, 820, 428, 677 i.e 1.

3. How can I use the GCD of 492, 820, 428, 677Calculator?

Out the numbers 492, 820, 428, 677 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.