GCD of 496, 961, 700, 771 Calculator

Given Input numbers are 496, 961, 700, 771

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

Divisors of 496

List of positive integer divisors of 496 that divides 496 without a remainder.

1, 2, 4, 8, 16, 31, 62, 124, 248, 496

Divisors of 961

List of positive integer divisors of 961 that divides 961 without a remainder.

1, 31, 961

Divisors of 700

List of positive integer divisors of 700 that divides 700 without a remainder.

1, 2, 4, 5, 7, 10, 14, 20, 25, 28, 35, 50, 70, 100, 140, 175, 350, 700

Divisors of 771

List of positive integer divisors of 771 that divides 771 without a remainder.

1, 3, 257, 771

Greatest Common Divisior

We found the divisors of 496, 961, 700, 771 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 496, 961, 700, 771 is 1.

Therefore, GCD of numbers 496, 961, 700, 771 is 1

Given Input Data is 496, 961, 700, 771

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

Prime Factorization of 496 is 2 x 2 x 2 x 2 x 31

Prime Factorization of 961 is 31 x 31

Prime Factorization of 700 is 2 x 2 x 5 x 5 x 7

Prime Factorization of 771 is 3 x 257

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(496, 961) = 15376

GCD(496, 961) = ( 496 x 961 ) / 15376

GCD(496, 961) = 476656 / 15376

GCD(496, 961) = 31

Step2:

Here we consider the GCD from the above i.e. 31 as first number and the next as 700

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

LCM(31, 700) = 21700

GCD(31, 700) = ( 31 x 700 ) / 21700

GCD(31, 700) = 21700 / 21700

GCD(31, 700) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 771

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

LCM(1, 771) = 771

GCD(1, 771) = ( 1 x 771 ) / 771

GCD(1, 771) = 771 / 771

GCD(1, 771) = 1

GCD of 496, 961, 700, 771 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 328, 928, 705, 270
• GCD of 696, 461, 639, 714
• GCD of 169, 470, 564, 330
• GCD of 246, 925, 622, 654
• GCD of 866, 752, 468, 957

1. What is the GCD of 496, 961, 700, 771?

GCD of 496, 961, 700, 771 is 1

2. Where do I get the detailed procedure to find GCD of 496, 961, 700, 771?

You can find a detailed procedure to find GCD of 496, 961, 700, 771 on our page.

3. How to find GCD of 496, 961, 700, 771 on a calculator?

You can find the GCD of 496, 961, 700, 771 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.