GCD of 821, 448, 976, 742 Calculator

Given Input numbers are 821, 448, 976, 742

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

Divisors of 821 :

The positive integer divisors of 821 that completely divides 821 are.

1, 821

Divisors of 448 :

The positive integer divisors of 448 that completely divides 448 are.

1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 64, 112, 224, 448

Divisors of 976 :

The positive integer divisors of 976 that completely divides 976 are.

1, 2, 4, 8, 16, 61, 122, 244, 488, 976

Divisors of 742 :

The positive integer divisors of 742 that completely divides 742 are.

1, 2, 7, 14, 53, 106, 371, 742

GCD of numbers is the greatest common divisor

So, the GCD (821, 448, 976, 742) = 1.

Given numbers are 821, 448, 976, 742

The list of prime factors of all numbers are

Prime factors of 821 are 821

Prime factors of 448 are 2 x 2 x 2 x 2 x 2 x 2 x 7

Prime factors of 976 are 2 x 2 x 2 x 2 x 61

Prime factors of 742 are 2 x 7 x 53

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

Given numbers are 821, 448, 976, 742

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

Apply this formula for all numbers.

Step1:

LCM(821, 448) = 367808

GCD(821, 448) = ( 821 x 448 ) / 367808

= 821 / 448

= 821

Step2:

LCM(1, 976) = 976

GCD(1, 976) = ( 1 x 976 ) / 976

= 1 / 976

= 1

Step3:

LCM(1, 742) = 742

GCD(1, 742) = ( 1 x 742 ) / 742

= 1 / 742

= 1

So, Greatest Common Divisor of 821, 448, 976, 742 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 432, 807, 255, 685
• GCD of 907, 928, 148, 632
• GCD of 350, 704, 546, 559
• GCD of 638, 212, 259, 212
• GCD of 884, 874, 149, 118

Given numbers are 821, 448, 976, 742
The greatest common divisor of numbers 821, 448, 976, 742 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 821, 448, 976, 742 is 1.

1. What is the GCD of 821, 448, 976, 742?

GCD of given numbers 821, 448, 976, 742 is 1

2. How to calculate the greatest common divisor of 821, 448, 976, 742?

We can find the highest common divisor of 821, 448, 976, 742 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 821, 448, 976, 742 i.e 1.

3. How can I use the GCD of 821, 448, 976, 742Calculator?

Out the numbers 821, 448, 976, 742 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.