GCD of 100, 740, 645, 745 Calculator

Given Input numbers are 100, 740, 645, 745

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

Divisors of 100 :

The positive integer divisors of 100 that completely divides 100 are.

1, 2, 4, 5, 10, 20, 25, 50, 100

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 645 :

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

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

Divisors of 745 :

The positive integer divisors of 745 that completely divides 745 are.

1, 5, 149, 745

GCD of numbers is the greatest common divisor

So, the GCD (100, 740, 645, 745) = 5.

Given numbers are 100, 740, 645, 745

The list of prime factors of all numbers are

Prime factors of 100 are 2 x 2 x 5 x 5

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

Prime factors of 645 are 3 x 5 x 43

Prime factors of 745 are 5 x 149

The highest common occurrence is 5¹

Therefore, GCD of 100, 740, 645, 745 is 5.

Given numbers are 100, 740, 645, 745

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

Apply this formula for all numbers.

Step1:

LCM(100, 740) = 3700

GCD(100, 740) = ( 100 x 740 ) / 3700

= 100 / 740

= 100

Step2:

LCM(20, 645) = 2580

GCD(20, 645) = ( 20 x 645 ) / 2580

= 20 / 645

= 20

Step3:

LCM(5, 745) = 745

GCD(5, 745) = ( 5 x 745 ) / 745

= 5 / 745

= 5

So, Greatest Common Divisor of 100, 740, 645, 745 is 5

Here are some samples of GCD of Numbers calculations.

• GCD of 213, 525, 675, 881
• GCD of 668, 531, 572, 277
• GCD of 671, 278, 132, 748
• GCD of 942, 500, 500, 438
• GCD of 411, 363, 939, 511

Given numbers are 100, 740, 645, 745
The greatest common divisor of numbers 100, 740, 645, 745 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 100, 740, 645, 745 is 5.

1. What is the GCD of 100, 740, 645, 745?

GCD of given numbers 100, 740, 645, 745 is 5

2. How to calculate the greatest common divisor of 100, 740, 645, 745?

We can find the highest common divisor of 100, 740, 645, 745 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 100, 740, 645, 745 i.e 5.

3. How can I use the GCD of 100, 740, 645, 745Calculator?

Out the numbers 100, 740, 645, 745 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.