GCD of 900, 676, 526, 160 Calculator

Given Input numbers are 900, 676, 526, 160

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

Divisors of 900 :

The positive integer divisors of 900 that completely divides 900 are.

1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 25, 30, 36, 45, 50, 60, 75, 90, 100, 150, 180, 225, 300, 450, 900

Divisors of 676 :

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

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

Divisors of 526 :

The positive integer divisors of 526 that completely divides 526 are.

1, 2, 263, 526

Divisors of 160 :

The positive integer divisors of 160 that completely divides 160 are.

1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 80, 160

GCD of numbers is the greatest common divisor

So, the GCD (900, 676, 526, 160) = 2.

Given numbers are 900, 676, 526, 160

The list of prime factors of all numbers are

Prime factors of 900 are 2 x 2 x 3 x 3 x 5 x 5

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

Prime factors of 526 are 2 x 263

Prime factors of 160 are 2 x 2 x 2 x 2 x 2 x 5

The highest common occurrence is 2¹

Therefore, GCD of 900, 676, 526, 160 is 2.

Given numbers are 900, 676, 526, 160

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

Apply this formula for all numbers.

Step1:

LCM(900, 676) = 152100

GCD(900, 676) = ( 900 x 676 ) / 152100

= 900 / 676

= 900

Step2:

LCM(4, 526) = 1052

GCD(4, 526) = ( 4 x 526 ) / 1052

= 4 / 526

= 4

Step3:

LCM(2, 160) = 160

GCD(2, 160) = ( 2 x 160 ) / 160

= 2 / 160

= 2

So, Greatest Common Divisor of 900, 676, 526, 160 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 810, 359, 770, 547
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• GCD of 711, 735, 431, 801
• GCD of 745, 975, 625, 760
• GCD of 209, 435, 439, 596

Given numbers are 900, 676, 526, 160
The greatest common divisor of numbers 900, 676, 526, 160 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 900, 676, 526, 160 is 2.

1. What is the GCD of 900, 676, 526, 160?

GCD of given numbers 900, 676, 526, 160 is 2

2. How to calculate the greatest common divisor of 900, 676, 526, 160?

We can find the highest common divisor of 900, 676, 526, 160 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 900, 676, 526, 160 i.e 2.

3. How can I use the GCD of 900, 676, 526, 160Calculator?

Out the numbers 900, 676, 526, 160 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.