GCD of 420, 874, 638, 726 Calculator

Given Input numbers are 420, 874, 638, 726

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

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

Divisors of 874 :

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

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

Divisors of 638 :

The positive integer divisors of 638 that completely divides 638 are.

1, 2, 11, 22, 29, 58, 319, 638

Divisors of 726 :

The positive integer divisors of 726 that completely divides 726 are.

1, 2, 3, 6, 11, 22, 33, 66, 121, 242, 363, 726

GCD of numbers is the greatest common divisor

So, the GCD (420, 874, 638, 726) = 2.

Given numbers are 420, 874, 638, 726

The list of prime factors of all numbers are

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

Prime factors of 874 are 2 x 19 x 23

Prime factors of 638 are 2 x 11 x 29

Prime factors of 726 are 2 x 3 x 11 x 11

The highest common occurrence is 2¹

Therefore, GCD of 420, 874, 638, 726 is 2.

Given numbers are 420, 874, 638, 726

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

Apply this formula for all numbers.

Step1:

LCM(420, 874) = 183540

GCD(420, 874) = ( 420 x 874 ) / 183540

= 420 / 874

= 420

Step2:

LCM(2, 638) = 638

GCD(2, 638) = ( 2 x 638 ) / 638

= 2 / 638

= 2

Step3:

LCM(2, 726) = 726

GCD(2, 726) = ( 2 x 726 ) / 726

= 2 / 726

= 2

So, Greatest Common Divisor of 420, 874, 638, 726 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 672, 862, 183, 597
• GCD of 143, 457, 906, 807
• GCD of 292, 580, 423, 814
• GCD of 886, 147, 175, 448
• GCD of 591, 828, 936, 362

Given numbers are 420, 874, 638, 726
The greatest common divisor of numbers 420, 874, 638, 726 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 420, 874, 638, 726 is 2.

1. What is the GCD of 420, 874, 638, 726?

GCD of given numbers 420, 874, 638, 726 is 2

2. How to calculate the greatest common divisor of 420, 874, 638, 726?

We can find the highest common divisor of 420, 874, 638, 726 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 420, 874, 638, 726 i.e 2.

3. How can I use the GCD of 420, 874, 638, 726Calculator?

Out the numbers 420, 874, 638, 726 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.