GCD of 746, 882, 380, 550 Calculator

Given Input numbers are 746, 882, 380, 550

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 882 :

The positive integer divisors of 882 that completely divides 882 are.

1, 2, 3, 6, 7, 9, 14, 18, 21, 42, 49, 63, 98, 126, 147, 294, 441, 882

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 550 :

The positive integer divisors of 550 that completely divides 550 are.

1, 2, 5, 10, 11, 22, 25, 50, 55, 110, 275, 550

GCD of numbers is the greatest common divisor

So, the GCD (746, 882, 380, 550) = 2.

Given numbers are 746, 882, 380, 550

The list of prime factors of all numbers are

Prime factors of 746 are 2 x 373

Prime factors of 882 are 2 x 3 x 3 x 7 x 7

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

Prime factors of 550 are 2 x 5 x 5 x 11

The highest common occurrence is 2¹

Therefore, GCD of 746, 882, 380, 550 is 2.

Given numbers are 746, 882, 380, 550

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

Apply this formula for all numbers.

Step1:

LCM(746, 882) = 328986

GCD(746, 882) = ( 746 x 882 ) / 328986

= 746 / 882

= 746

Step2:

LCM(2, 380) = 380

GCD(2, 380) = ( 2 x 380 ) / 380

= 2 / 380

= 2

Step3:

LCM(2, 550) = 550

GCD(2, 550) = ( 2 x 550 ) / 550

= 2 / 550

= 2

So, Greatest Common Divisor of 746, 882, 380, 550 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 404, 124, 348, 730
• GCD of 846, 134, 724, 111
• GCD of 630, 368, 848, 489
• GCD of 533, 207, 836, 676
• GCD of 976, 519, 487, 695

Given numbers are 746, 882, 380, 550
The greatest common divisor of numbers 746, 882, 380, 550 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 746, 882, 380, 550 is 2.

1. What is the GCD of 746, 882, 380, 550?

GCD of given numbers 746, 882, 380, 550 is 2

2. How to calculate the greatest common divisor of 746, 882, 380, 550?

We can find the highest common divisor of 746, 882, 380, 550 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, 882, 380, 550 i.e 2.

3. How can I use the GCD of 746, 882, 380, 550Calculator?

Out the numbers 746, 882, 380, 550 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.