GCD of 645, 740, 690, 175 Calculator

Given Input numbers are 645, 740, 690, 175

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

Divisors of 645 :

The positive integer divisors of 645 that completely divides 645 are.

1, 3, 5, 15, 43, 129, 215, 645

Divisors of 740 :

The positive integer divisors of 740 that completely divides 740 are.

1, 2, 4, 5, 10, 20, 37, 74, 148, 185, 370, 740

Divisors of 690 :

The positive integer divisors of 690 that completely divides 690 are.

1, 2, 3, 5, 6, 10, 15, 23, 30, 46, 69, 115, 138, 230, 345, 690

Divisors of 175 :

The positive integer divisors of 175 that completely divides 175 are.

1, 5, 7, 25, 35, 175

GCD of numbers is the greatest common divisor

So, the GCD (645, 740, 690, 175) = 5.

Given numbers are 645, 740, 690, 175

The list of prime factors of all numbers are

Prime factors of 645 are 3 x 5 x 43

Prime factors of 740 are 2 x 2 x 5 x 37

Prime factors of 690 are 2 x 3 x 5 x 23

Prime factors of 175 are 5 x 5 x 7

The highest common occurrence is 5¹

Therefore, GCD of 645, 740, 690, 175 is 5.

Given numbers are 645, 740, 690, 175

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

Apply this formula for all numbers.

Step1:

LCM(645, 740) = 95460

GCD(645, 740) = ( 645 x 740 ) / 95460

= 645 / 740

= 645

Step2:

LCM(5, 690) = 690

GCD(5, 690) = ( 5 x 690 ) / 690

= 5 / 690

= 5

Step3:

LCM(5, 175) = 175

GCD(5, 175) = ( 5 x 175 ) / 175

= 5 / 175

= 5

So, Greatest Common Divisor of 645, 740, 690, 175 is 5

Here are some samples of GCD of Numbers calculations.

• GCD of 309, 548, 461, 309
• GCD of 553, 996, 584, 753
• GCD of 967, 485, 245, 881
• GCD of 200, 407, 384, 344
• GCD of 513, 792, 888, 568

Given numbers are 645, 740, 690, 175
The greatest common divisor of numbers 645, 740, 690, 175 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 645, 740, 690, 175 is 5.

1. What is the GCD of 645, 740, 690, 175?

GCD of given numbers 645, 740, 690, 175 is 5

2. How to calculate the greatest common divisor of 645, 740, 690, 175?

We can find the highest common divisor of 645, 740, 690, 175 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 645, 740, 690, 175 i.e 5.

3. How can I use the GCD of 645, 740, 690, 175Calculator?

Out the numbers 645, 740, 690, 175 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.