GCD of 715, 370, 520, 745 Calculator

Given Input numbers are 715, 370, 520, 745

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

Divisors of 715 :

The positive integer divisors of 715 that completely divides 715 are.

1, 5, 11, 13, 55, 65, 143, 715

Divisors of 370 :

The positive integer divisors of 370 that completely divides 370 are.

1, 2, 5, 10, 37, 74, 185, 370

Divisors of 520 :

The positive integer divisors of 520 that completely divides 520 are.

1, 2, 4, 5, 8, 10, 13, 20, 26, 40, 52, 65, 104, 130, 260, 520

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 (715, 370, 520, 745) = 5.

Given numbers are 715, 370, 520, 745

The list of prime factors of all numbers are

Prime factors of 715 are 5 x 11 x 13

Prime factors of 370 are 2 x 5 x 37

Prime factors of 520 are 2 x 2 x 2 x 5 x 13

Prime factors of 745 are 5 x 149

The highest common occurrence is 5¹

Therefore, GCD of 715, 370, 520, 745 is 5.

Given numbers are 715, 370, 520, 745

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

Apply this formula for all numbers.

Step1:

LCM(715, 370) = 52910

GCD(715, 370) = ( 715 x 370 ) / 52910

= 715 / 370

= 715

Step2:

LCM(5, 520) = 520

GCD(5, 520) = ( 5 x 520 ) / 520

= 5 / 520

= 5

Step3:

LCM(5, 745) = 745

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

= 5 / 745

= 5

So, Greatest Common Divisor of 715, 370, 520, 745 is 5

Here are some samples of GCD of Numbers calculations.

• GCD of 137, 538, 793, 117
• GCD of 257, 261, 684, 703
• GCD of 371, 517, 240, 371
• GCD of 398, 891, 391, 818
• GCD of 312, 586, 531, 847

Given numbers are 715, 370, 520, 745
The greatest common divisor of numbers 715, 370, 520, 745 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 715, 370, 520, 745 is 5.

1. What is the GCD of 715, 370, 520, 745?

GCD of given numbers 715, 370, 520, 745 is 5

2. How to calculate the greatest common divisor of 715, 370, 520, 745?

We can find the highest common divisor of 715, 370, 520, 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 715, 370, 520, 745 i.e 5.

3. How can I use the GCD of 715, 370, 520, 745Calculator?

Out the numbers 715, 370, 520, 745 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.