GCD of 746, 380, 488, 840 Calculator

Given Input numbers are 746, 380, 488, 840

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

Divisors of 746 :

The positive integer divisors of 746 that completely divides 746 are.

1, 2, 373, 746

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 488 :

The positive integer divisors of 488 that completely divides 488 are.

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

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

GCD of numbers is the greatest common divisor

So, the GCD (746, 380, 488, 840) = 2.

Given numbers are 746, 380, 488, 840

The list of prime factors of all numbers are

Prime factors of 746 are 2 x 373

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

Prime factors of 488 are 2 x 2 x 2 x 61

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

The highest common occurrence is 2¹

Therefore, GCD of 746, 380, 488, 840 is 2.

Given numbers are 746, 380, 488, 840

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

Apply this formula for all numbers.

Step1:

LCM(746, 380) = 141740

GCD(746, 380) = ( 746 x 380 ) / 141740

= 746 / 380

= 746

Step2:

LCM(2, 488) = 488

GCD(2, 488) = ( 2 x 488 ) / 488

= 2 / 488

= 2

Step3:

LCM(2, 840) = 840

GCD(2, 840) = ( 2 x 840 ) / 840

= 2 / 840

= 2

So, Greatest Common Divisor of 746, 380, 488, 840 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 997, 568, 104, 955
• GCD of 480, 605, 659, 591
• GCD of 874, 602, 237, 905
• GCD of 426, 935, 111, 436
• GCD of 543, 401, 183, 116

Given numbers are 746, 380, 488, 840
The greatest common divisor of numbers 746, 380, 488, 840 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 746, 380, 488, 840 is 2.

1. What is the GCD of 746, 380, 488, 840?

GCD of given numbers 746, 380, 488, 840 is 2

2. How to calculate the greatest common divisor of 746, 380, 488, 840?

We can find the highest common divisor of 746, 380, 488, 840 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 746, 380, 488, 840 i.e 2.

3. How can I use the GCD of 746, 380, 488, 840Calculator?

Out the numbers 746, 380, 488, 840 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.