GCD of 420, 692, 542, 860 Calculator

Given Input numbers are 420, 692, 542, 860

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 692 :

The positive integer divisors of 692 that completely divides 692 are.

1, 2, 4, 173, 346, 692

Divisors of 542 :

The positive integer divisors of 542 that completely divides 542 are.

1, 2, 271, 542

Divisors of 860 :

The positive integer divisors of 860 that completely divides 860 are.

1, 2, 4, 5, 10, 20, 43, 86, 172, 215, 430, 860

GCD of numbers is the greatest common divisor

So, the GCD (420, 692, 542, 860) = 2.

Given numbers are 420, 692, 542, 860

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 692 are 2 x 2 x 173

Prime factors of 542 are 2 x 271

Prime factors of 860 are 2 x 2 x 5 x 43

The highest common occurrence is 2¹

Therefore, GCD of 420, 692, 542, 860 is 2.

Given numbers are 420, 692, 542, 860

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

Apply this formula for all numbers.

Step1:

LCM(420, 692) = 72660

GCD(420, 692) = ( 420 x 692 ) / 72660

= 420 / 692

= 420

Step2:

LCM(4, 542) = 1084

GCD(4, 542) = ( 4 x 542 ) / 1084

= 4 / 542

= 4

Step3:

LCM(2, 860) = 860

GCD(2, 860) = ( 2 x 860 ) / 860

= 2 / 860

= 2

So, Greatest Common Divisor of 420, 692, 542, 860 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 339, 244, 202, 219
• GCD of 422, 887, 756, 453
• GCD of 103, 608, 950, 663
• GCD of 614, 826, 602, 549
• GCD of 856, 541, 944, 603

Given numbers are 420, 692, 542, 860
The greatest common divisor of numbers 420, 692, 542, 860 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 420, 692, 542, 860 is 2.

1. What is the GCD of 420, 692, 542, 860?

GCD of given numbers 420, 692, 542, 860 is 2

2. How to calculate the greatest common divisor of 420, 692, 542, 860?

We can find the highest common divisor of 420, 692, 542, 860 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, 692, 542, 860 i.e 2.

3. How can I use the GCD of 420, 692, 542, 860Calculator?

Out the numbers 420, 692, 542, 860 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.