GCD of 715, 132, 616, 913 Calculator

Given Input numbers are 715, 132, 616, 913

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 132 :

The positive integer divisors of 132 that completely divides 132 are.

1, 2, 3, 4, 6, 11, 12, 22, 33, 44, 66, 132

Divisors of 616 :

The positive integer divisors of 616 that completely divides 616 are.

1, 2, 4, 7, 8, 11, 14, 22, 28, 44, 56, 77, 88, 154, 308, 616

Divisors of 913 :

The positive integer divisors of 913 that completely divides 913 are.

1, 11, 83, 913

GCD of numbers is the greatest common divisor

So, the GCD (715, 132, 616, 913) = 11.

Given numbers are 715, 132, 616, 913

The list of prime factors of all numbers are

Prime factors of 715 are 5 x 11 x 13

Prime factors of 132 are 2 x 2 x 3 x 11

Prime factors of 616 are 2 x 2 x 2 x 7 x 11

Prime factors of 913 are 11 x 83

The highest common occurrence is 11¹

Therefore, GCD of 715, 132, 616, 913 is 11.

Given numbers are 715, 132, 616, 913

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

Apply this formula for all numbers.

Step1:

LCM(715, 132) = 8580

GCD(715, 132) = ( 715 x 132 ) / 8580

= 715 / 132

= 715

Step2:

LCM(11, 616) = 616

GCD(11, 616) = ( 11 x 616 ) / 616

= 11 / 616

= 11

Step3:

LCM(11, 913) = 913

GCD(11, 913) = ( 11 x 913 ) / 913

= 11 / 913

= 11

So, Greatest Common Divisor of 715, 132, 616, 913 is 11

Here are some samples of GCD of Numbers calculations.

• GCD of 506, 688, 322, 575
• GCD of 544, 766, 883, 576
• GCD of 707, 526, 339, 844
• GCD of 976, 325, 183, 128
• GCD of 257, 845, 201, 840

Given numbers are 715, 132, 616, 913
The greatest common divisor of numbers 715, 132, 616, 913 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 715, 132, 616, 913 is 11.

1. What is the GCD of 715, 132, 616, 913?

GCD of given numbers 715, 132, 616, 913 is 11

2. How to calculate the greatest common divisor of 715, 132, 616, 913?

We can find the highest common divisor of 715, 132, 616, 913 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, 132, 616, 913 i.e 11.

3. How can I use the GCD of 715, 132, 616, 913Calculator?

Out the numbers 715, 132, 616, 913 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.