GCD of 945, 900, 736, 553 Calculator

Given Input numbers are 945, 900, 736, 553

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

Divisors of 945 :

The positive integer divisors of 945 that completely divides 945 are.

1, 3, 5, 7, 9, 15, 21, 27, 35, 45, 63, 105, 135, 189, 315, 945

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 736 :

The positive integer divisors of 736 that completely divides 736 are.

1, 2, 4, 8, 16, 23, 32, 46, 92, 184, 368, 736

Divisors of 553 :

The positive integer divisors of 553 that completely divides 553 are.

1, 7, 79, 553

GCD of numbers is the greatest common divisor

So, the GCD (945, 900, 736, 553) = 1.

Given numbers are 945, 900, 736, 553

The list of prime factors of all numbers are

Prime factors of 945 are 3 x 3 x 3 x 5 x 7

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

Prime factors of 736 are 2 x 2 x 2 x 2 x 2 x 23

Prime factors of 553 are 7 x 79

The above numbers do not have any common prime factor. So GCD is 1

Given numbers are 945, 900, 736, 553

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

Apply this formula for all numbers.

Step1:

LCM(945, 900) = 18900

GCD(945, 900) = ( 945 x 900 ) / 18900

= 945 / 900

= 945

Step2:

LCM(45, 736) = 33120

GCD(45, 736) = ( 45 x 736 ) / 33120

= 45 / 736

= 45

Step3:

LCM(1, 553) = 553

GCD(1, 553) = ( 1 x 553 ) / 553

= 1 / 553

= 1

So, Greatest Common Divisor of 945, 900, 736, 553 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 726, 368, 114, 452
• GCD of 193, 159, 105, 471
• GCD of 193, 673, 606, 709
• GCD of 501, 306, 520, 509
• GCD of 185, 264, 946, 565

Given numbers are 945, 900, 736, 553
The greatest common divisor of numbers 945, 900, 736, 553 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 945, 900, 736, 553 is 1.

1. What is the GCD of 945, 900, 736, 553?

GCD of given numbers 945, 900, 736, 553 is 1

2. How to calculate the greatest common divisor of 945, 900, 736, 553?

We can find the highest common divisor of 945, 900, 736, 553 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 945, 900, 736, 553 i.e 1.

3. How can I use the GCD of 945, 900, 736, 553Calculator?

Out the numbers 945, 900, 736, 553 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.