GCD of 380, 840, 542, 676 Calculator

Given Input numbers are 380, 840, 542, 676

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

Divisors of 380 :

The positive integer divisors of 380 that completely divides 380 are.

1, 2, 4, 5, 10, 19, 20, 38, 76, 95, 190, 380

Divisors of 840 :

The positive integer divisors of 840 that completely divides 840 are.

1, 2, 3, 4, 5, 6, 7, 8, 10, 12, 14, 15, 20, 21, 24, 28, 30, 35, 40, 42, 56, 60, 70, 84, 105, 120, 140, 168, 210, 280, 420, 840

Divisors of 542 :

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

1, 2, 271, 542

Divisors of 676 :

The positive integer divisors of 676 that completely divides 676 are.

1, 2, 4, 13, 26, 52, 169, 338, 676

GCD of numbers is the greatest common divisor

So, the GCD (380, 840, 542, 676) = 2.

Given numbers are 380, 840, 542, 676

The list of prime factors of all numbers are

Prime factors of 380 are 2 x 2 x 5 x 19

Prime factors of 840 are 2 x 2 x 2 x 3 x 5 x 7

Prime factors of 542 are 2 x 271

Prime factors of 676 are 2 x 2 x 13 x 13

The highest common occurrence is 2¹

Therefore, GCD of 380, 840, 542, 676 is 2.

Given numbers are 380, 840, 542, 676

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

Apply this formula for all numbers.

Step1:

LCM(380, 840) = 15960

GCD(380, 840) = ( 380 x 840 ) / 15960

= 380 / 840

= 380

Step2:

LCM(20, 542) = 5420

GCD(20, 542) = ( 20 x 542 ) / 5420

= 20 / 542

= 20

Step3:

LCM(2, 676) = 676

GCD(2, 676) = ( 2 x 676 ) / 676

= 2 / 676

= 2

So, Greatest Common Divisor of 380, 840, 542, 676 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 258, 247, 860, 862
• GCD of 599, 649, 989, 890
• GCD of 426, 576, 728, 292
• GCD of 688, 325, 552, 741
• GCD of 231, 806, 191, 535

Given numbers are 380, 840, 542, 676
The greatest common divisor of numbers 380, 840, 542, 676 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 380, 840, 542, 676 is 2.

1. What is the GCD of 380, 840, 542, 676?

GCD of given numbers 380, 840, 542, 676 is 2

2. How to calculate the greatest common divisor of 380, 840, 542, 676?

We can find the highest common divisor of 380, 840, 542, 676 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 380, 840, 542, 676 i.e 2.

3. How can I use the GCD of 380, 840, 542, 676Calculator?

Out the numbers 380, 840, 542, 676 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.