GCD of 770, 253, 972, 553 Calculator

Given Input numbers are 770, 253, 972, 553

To find the GCD of numbers using factoring list out all the divisors of each number

Divisors of 770

List of positive integer divisors of 770 that divides 770 without a remainder.

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

Divisors of 253

List of positive integer divisors of 253 that divides 253 without a remainder.

1, 11, 23, 253

Divisors of 972

List of positive integer divisors of 972 that divides 972 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 81, 108, 162, 243, 324, 486, 972

Divisors of 553

List of positive integer divisors of 553 that divides 553 without a remainder.

1, 7, 79, 553

Greatest Common Divisior

We found the divisors of 770, 253, 972, 553 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 770, 253, 972, 553 is 1.

Therefore, GCD of numbers 770, 253, 972, 553 is 1

Given Input Data is 770, 253, 972, 553

Make a list of Prime Factors of all the given numbers initially

Prime Factorization of 770 is 2 x 5 x 7 x 11

Prime Factorization of 253 is 11 x 23

Prime Factorization of 972 is 2 x 2 x 3 x 3 x 3 x 3 x 3

Prime Factorization of 553 is 7 x 79

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

Step1:

Let's calculate the GCD of first two numbers

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

LCM(770, 253) = 17710

GCD(770, 253) = ( 770 x 253 ) / 17710

GCD(770, 253) = 194810 / 17710

GCD(770, 253) = 11

Step2:

Here we consider the GCD from the above i.e. 11 as first number and the next as 972

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

LCM(11, 972) = 10692

GCD(11, 972) = ( 11 x 972 ) / 10692

GCD(11, 972) = 10692 / 10692

GCD(11, 972) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 553

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

LCM(1, 553) = 553

GCD(1, 553) = ( 1 x 553 ) / 553

GCD(1, 553) = 553 / 553

GCD(1, 553) = 1

GCD of 770, 253, 972, 553 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 258, 292, 734, 472
• GCD of 997, 957, 995, 891
• GCD of 129, 402, 171, 313
• GCD of 581, 329, 849, 559
• GCD of 822, 303, 220, 547

1. What is the GCD of 770, 253, 972, 553?

GCD of 770, 253, 972, 553 is 1

2. Where do I get the detailed procedure to find GCD of 770, 253, 972, 553?

You can find a detailed procedure to find GCD of 770, 253, 972, 553 on our page.

3. How to find GCD of 770, 253, 972, 553 on a calculator?

You can find the GCD of 770, 253, 972, 553 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.