GCD of 497, 771, 480, 109 Calculator

Given Input numbers are 497, 771, 480, 109

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

Divisors of 497 :

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

1, 7, 71, 497

Divisors of 771 :

The positive integer divisors of 771 that completely divides 771 are.

1, 3, 257, 771

Divisors of 480 :

The positive integer divisors of 480 that completely divides 480 are.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 32, 40, 48, 60, 80, 96, 120, 160, 240, 480

Divisors of 109 :

The positive integer divisors of 109 that completely divides 109 are.

1, 109

GCD of numbers is the greatest common divisor

So, the GCD (497, 771, 480, 109) = 1.

Given numbers are 497, 771, 480, 109

The list of prime factors of all numbers are

Prime factors of 497 are 7 x 71

Prime factors of 771 are 3 x 257

Prime factors of 480 are 2 x 2 x 2 x 2 x 2 x 3 x 5

Prime factors of 109 are 109

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

Given numbers are 497, 771, 480, 109

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

Apply this formula for all numbers.

Step1:

LCM(497, 771) = 383187

GCD(497, 771) = ( 497 x 771 ) / 383187

= 497 / 771

= 497

Step2:

LCM(1, 480) = 480

GCD(1, 480) = ( 1 x 480 ) / 480

= 1 / 480

= 1

Step3:

LCM(1, 109) = 109

GCD(1, 109) = ( 1 x 109 ) / 109

= 1 / 109

= 1

So, Greatest Common Divisor of 497, 771, 480, 109 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 767, 944, 771, 243
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Given numbers are 497, 771, 480, 109
The greatest common divisor of numbers 497, 771, 480, 109 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 497, 771, 480, 109 is 1.

1. What is the GCD of 497, 771, 480, 109?

GCD of given numbers 497, 771, 480, 109 is 1

2. How to calculate the greatest common divisor of 497, 771, 480, 109?

We can find the highest common divisor of 497, 771, 480, 109 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 497, 771, 480, 109 i.e 1.

3. How can I use the GCD of 497, 771, 480, 109Calculator?

Out the numbers 497, 771, 480, 109 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.