GCD of 945, 625, 665, 705 Calculator

Given Input numbers are 945, 625, 665, 705

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 625 :

The positive integer divisors of 625 that completely divides 625 are.

1, 5, 25, 125, 625

Divisors of 665 :

The positive integer divisors of 665 that completely divides 665 are.

1, 5, 7, 19, 35, 95, 133, 665

Divisors of 705 :

The positive integer divisors of 705 that completely divides 705 are.

1, 3, 5, 15, 47, 141, 235, 705

GCD of numbers is the greatest common divisor

So, the GCD (945, 625, 665, 705) = 5.

Given numbers are 945, 625, 665, 705

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 625 are 5 x 5 x 5 x 5

Prime factors of 665 are 5 x 7 x 19

Prime factors of 705 are 3 x 5 x 47

The highest common occurrence is 5¹

Therefore, GCD of 945, 625, 665, 705 is 5.

Given numbers are 945, 625, 665, 705

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

Apply this formula for all numbers.

Step1:

LCM(945, 625) = 118125

GCD(945, 625) = ( 945 x 625 ) / 118125

= 945 / 625

= 945

Step2:

LCM(5, 665) = 665

GCD(5, 665) = ( 5 x 665 ) / 665

= 5 / 665

= 5

Step3:

LCM(5, 705) = 705

GCD(5, 705) = ( 5 x 705 ) / 705

= 5 / 705

= 5

So, Greatest Common Divisor of 945, 625, 665, 705 is 5

Here are some samples of GCD of Numbers calculations.

• GCD of 795, 869, 395, 831
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Given numbers are 945, 625, 665, 705
The greatest common divisor of numbers 945, 625, 665, 705 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 945, 625, 665, 705 is 5.

1. What is the GCD of 945, 625, 665, 705?

GCD of given numbers 945, 625, 665, 705 is 5

2. How to calculate the greatest common divisor of 945, 625, 665, 705?

We can find the highest common divisor of 945, 625, 665, 705 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, 625, 665, 705 i.e 5.

3. How can I use the GCD of 945, 625, 665, 705Calculator?

Out the numbers 945, 625, 665, 705 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.