GCD of 880, 542, 742, 450 Calculator

Given Input numbers are 880, 542, 742, 450

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

Divisors of 880 :

The positive integer divisors of 880 that completely divides 880 are.

1, 2, 4, 5, 8, 10, 11, 16, 20, 22, 40, 44, 55, 80, 88, 110, 176, 220, 440, 880

Divisors of 542 :

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

1, 2, 271, 542

Divisors of 742 :

The positive integer divisors of 742 that completely divides 742 are.

1, 2, 7, 14, 53, 106, 371, 742

Divisors of 450 :

The positive integer divisors of 450 that completely divides 450 are.

1, 2, 3, 5, 6, 9, 10, 15, 18, 25, 30, 45, 50, 75, 90, 150, 225, 450

GCD of numbers is the greatest common divisor

So, the GCD (880, 542, 742, 450) = 2.

Given numbers are 880, 542, 742, 450

The list of prime factors of all numbers are

Prime factors of 880 are 2 x 2 x 2 x 2 x 5 x 11

Prime factors of 542 are 2 x 271

Prime factors of 742 are 2 x 7 x 53

Prime factors of 450 are 2 x 3 x 3 x 5 x 5

The highest common occurrence is 2¹

Therefore, GCD of 880, 542, 742, 450 is 2.

Given numbers are 880, 542, 742, 450

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

Apply this formula for all numbers.

Step1:

LCM(880, 542) = 238480

GCD(880, 542) = ( 880 x 542 ) / 238480

= 880 / 542

= 880

Step2:

LCM(2, 742) = 742

GCD(2, 742) = ( 2 x 742 ) / 742

= 2 / 742

= 2

Step3:

LCM(2, 450) = 450

GCD(2, 450) = ( 2 x 450 ) / 450

= 2 / 450

= 2

So, Greatest Common Divisor of 880, 542, 742, 450 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 621, 654, 498, 973
• GCD of 952, 759, 627, 880
• GCD of 893, 394, 128, 526
• GCD of 286, 796, 318, 805
• GCD of 825, 157, 513, 324

Given numbers are 880, 542, 742, 450
The greatest common divisor of numbers 880, 542, 742, 450 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 880, 542, 742, 450 is 2.

1. What is the GCD of 880, 542, 742, 450?

GCD of given numbers 880, 542, 742, 450 is 2

2. How to calculate the greatest common divisor of 880, 542, 742, 450?

We can find the highest common divisor of 880, 542, 742, 450 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 880, 542, 742, 450 i.e 2.

3. How can I use the GCD of 880, 542, 742, 450Calculator?

Out the numbers 880, 542, 742, 450 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.