GCD of 770, 749, 538, 508 Calculator

Given Input numbers are 770, 749, 538, 508

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

Divisors of 770 :

The positive integer divisors of 770 that completely divides 770 are.

1, 2, 5, 7, 10, 11, 14, 22, 35, 55, 70, 77, 110, 154, 385, 770

Divisors of 749 :

The positive integer divisors of 749 that completely divides 749 are.

1, 7, 107, 749

Divisors of 538 :

The positive integer divisors of 538 that completely divides 538 are.

1, 2, 269, 538

Divisors of 508 :

The positive integer divisors of 508 that completely divides 508 are.

1, 2, 4, 127, 254, 508

GCD of numbers is the greatest common divisor

So, the GCD (770, 749, 538, 508) = 1.

Given numbers are 770, 749, 538, 508

The list of prime factors of all numbers are

Prime factors of 770 are 2 x 5 x 7 x 11

Prime factors of 749 are 7 x 107

Prime factors of 538 are 2 x 269

Prime factors of 508 are 2 x 2 x 127

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

Given numbers are 770, 749, 538, 508

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

Apply this formula for all numbers.

Step1:

LCM(770, 749) = 82390

GCD(770, 749) = ( 770 x 749 ) / 82390

= 770 / 749

= 770

Step2:

LCM(7, 538) = 3766

GCD(7, 538) = ( 7 x 538 ) / 3766

= 7 / 538

= 7

Step3:

LCM(1, 508) = 508

GCD(1, 508) = ( 1 x 508 ) / 508

= 1 / 508

= 1

So, Greatest Common Divisor of 770, 749, 538, 508 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 814, 295, 314, 435
• GCD of 914, 911, 880, 968
• GCD of 944, 884, 155, 818
• GCD of 989, 481, 531, 769
• GCD of 642, 508, 418, 866

Given numbers are 770, 749, 538, 508
The greatest common divisor of numbers 770, 749, 538, 508 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 770, 749, 538, 508 is 1.

1. What is the GCD of 770, 749, 538, 508?

GCD of given numbers 770, 749, 538, 508 is 1

2. How to calculate the greatest common divisor of 770, 749, 538, 508?

We can find the highest common divisor of 770, 749, 538, 508 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 770, 749, 538, 508 i.e 1.

3. How can I use the GCD of 770, 749, 538, 508Calculator?

Out the numbers 770, 749, 538, 508 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.