GCD of 945, 168, 735 Calculator

Given Input numbers are 945, 168, 735

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 168 :

The positive integer divisors of 168 that completely divides 168 are.

1, 2, 3, 4, 6, 7, 8, 12, 14, 21, 24, 28, 42, 56, 84, 168

Divisors of 735 :

The positive integer divisors of 735 that completely divides 735 are.

1, 3, 5, 7, 15, 21, 35, 49, 105, 147, 245, 735

GCD of numbers is the greatest common divisor

So, the GCD (945, 168, 735) = 21.

Given numbers are 945, 168, 735

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 168 are 2 x 2 x 2 x 3 x 7

Prime factors of 735 are 3 x 5 x 7 x 7

The highest common occurrence is 3¹ x 7¹

Therefore, GCD of 945, 168, 735 is 21.

Given numbers are 945, 168, 735

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

Apply this formula for all numbers.

Step1:

LCM(945, 168) = 7560

GCD(945, 168) = ( 945 x 168 ) / 7560

= 945 / 168

= 945

Step2:

LCM(21, 735) = 735

GCD(21, 735) = ( 21 x 735 ) / 735

= 21 / 735

= 21

So, Greatest Common Divisor of 945, 168, 735 is 21

Here are some samples of GCD of Numbers calculations.

• GCD of 176, 685, 449
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Given numbers are 945, 168, 735
The greatest common divisor of numbers 945, 168, 735 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 945, 168, 735 is 21.

1. What is the GCD of 945, 168, 735?

GCD of given numbers 945, 168, 735 is 21

2. How to calculate the greatest common divisor of 945, 168, 735?

We can find the highest common divisor of 945, 168, 735 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, 168, 735 i.e 21.

3. How can I use the GCD of 945, 168, 735Calculator?

Out the numbers 945, 168, 735 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.