GCD of 682, 874, 448, 420 Calculator

Given Input numbers are 682, 874, 448, 420

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

Divisors of 682 :

The positive integer divisors of 682 that completely divides 682 are.

1, 2, 11, 22, 31, 62, 341, 682

Divisors of 874 :

The positive integer divisors of 874 that completely divides 874 are.

1, 2, 19, 23, 38, 46, 437, 874

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 420 :

The positive integer divisors of 420 that completely divides 420 are.

1, 2, 3, 4, 5, 6, 7, 10, 12, 14, 15, 20, 21, 28, 30, 35, 42, 60, 70, 84, 105, 140, 210, 420

GCD of numbers is the greatest common divisor

So, the GCD (682, 874, 448, 420) = 2.

Given numbers are 682, 874, 448, 420

The list of prime factors of all numbers are

Prime factors of 682 are 2 x 11 x 31

Prime factors of 874 are 2 x 19 x 23

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

Prime factors of 420 are 2 x 2 x 3 x 5 x 7

The highest common occurrence is 2¹

Therefore, GCD of 682, 874, 448, 420 is 2.

Given numbers are 682, 874, 448, 420

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

Apply this formula for all numbers.

Step1:

LCM(682, 874) = 298034

GCD(682, 874) = ( 682 x 874 ) / 298034

= 682 / 874

= 682

Step2:

LCM(2, 448) = 448

GCD(2, 448) = ( 2 x 448 ) / 448

= 2 / 448

= 2

Step3:

LCM(2, 420) = 420

GCD(2, 420) = ( 2 x 420 ) / 420

= 2 / 420

= 2

So, Greatest Common Divisor of 682, 874, 448, 420 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 442, 903, 647, 663
• GCD of 480, 448, 643, 784
• GCD of 894, 884, 851, 503
• GCD of 188, 692, 852, 608
• GCD of 168, 506, 507, 293

Given numbers are 682, 874, 448, 420
The greatest common divisor of numbers 682, 874, 448, 420 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 682, 874, 448, 420 is 2.

1. What is the GCD of 682, 874, 448, 420?

GCD of given numbers 682, 874, 448, 420 is 2

2. How to calculate the greatest common divisor of 682, 874, 448, 420?

We can find the highest common divisor of 682, 874, 448, 420 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 682, 874, 448, 420 i.e 2.

3. How can I use the GCD of 682, 874, 448, 420Calculator?

Out the numbers 682, 874, 448, 420 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.