GCD of 715, 770, 355, 750 Calculator

Given Input numbers are 715, 770, 355, 750

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 770 :

The positive integer divisors of 770 that completely divides 770 are.

1, 2, 5, 7, 10, 11, 14, 22, 35, 55, 70, 77, 110, 154, 385, 770

Divisors of 355 :

The positive integer divisors of 355 that completely divides 355 are.

1, 5, 71, 355

Divisors of 750 :

The positive integer divisors of 750 that completely divides 750 are.

1, 2, 3, 5, 6, 10, 15, 25, 30, 50, 75, 125, 150, 250, 375, 750

GCD of numbers is the greatest common divisor

So, the GCD (715, 770, 355, 750) = 5.

Given numbers are 715, 770, 355, 750

The list of prime factors of all numbers are

Prime factors of 715 are 5 x 11 x 13

Prime factors of 770 are 2 x 5 x 7 x 11

Prime factors of 355 are 5 x 71

Prime factors of 750 are 2 x 3 x 5 x 5 x 5

The highest common occurrence is 5¹

Therefore, GCD of 715, 770, 355, 750 is 5.

Given numbers are 715, 770, 355, 750

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

Apply this formula for all numbers.

Step1:

LCM(715, 770) = 10010

GCD(715, 770) = ( 715 x 770 ) / 10010

= 715 / 770

= 715

Step2:

LCM(55, 355) = 3905

GCD(55, 355) = ( 55 x 355 ) / 3905

= 55 / 355

= 55

Step3:

LCM(5, 750) = 750

GCD(5, 750) = ( 5 x 750 ) / 750

= 5 / 750

= 5

So, Greatest Common Divisor of 715, 770, 355, 750 is 5

Here are some samples of GCD of Numbers calculations.

• GCD of 264, 607, 689, 213
• GCD of 123, 417, 918, 566
• GCD of 550, 716, 109, 685
• GCD of 392, 176, 640, 462
• GCD of 228, 606, 521, 835

Given numbers are 715, 770, 355, 750
The greatest common divisor of numbers 715, 770, 355, 750 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 715, 770, 355, 750 is 5.

1. What is the GCD of 715, 770, 355, 750?

GCD of given numbers 715, 770, 355, 750 is 5

2. How to calculate the greatest common divisor of 715, 770, 355, 750?

We can find the highest common divisor of 715, 770, 355, 750 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, 770, 355, 750 i.e 5.

3. How can I use the GCD of 715, 770, 355, 750Calculator?

Out the numbers 715, 770, 355, 750 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.