GCD of 752, 698, 917, 470 Calculator

Given Input numbers are 752, 698, 917, 470

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

Divisors of 752 :

The positive integer divisors of 752 that completely divides 752 are.

1, 2, 4, 8, 16, 47, 94, 188, 376, 752

Divisors of 698 :

The positive integer divisors of 698 that completely divides 698 are.

1, 2, 349, 698

Divisors of 917 :

The positive integer divisors of 917 that completely divides 917 are.

1, 7, 131, 917

Divisors of 470 :

The positive integer divisors of 470 that completely divides 470 are.

1, 2, 5, 10, 47, 94, 235, 470

GCD of numbers is the greatest common divisor

So, the GCD (752, 698, 917, 470) = 1.

Given numbers are 752, 698, 917, 470

The list of prime factors of all numbers are

Prime factors of 752 are 2 x 2 x 2 x 2 x 47

Prime factors of 698 are 2 x 349

Prime factors of 917 are 7 x 131

Prime factors of 470 are 2 x 5 x 47

The above numbers do not have any common prime factor. So GCD is 1

Given numbers are 752, 698, 917, 470

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

Apply this formula for all numbers.

Step1:

LCM(752, 698) = 262448

GCD(752, 698) = ( 752 x 698 ) / 262448

= 752 / 698

= 752

Step2:

LCM(2, 917) = 1834

GCD(2, 917) = ( 2 x 917 ) / 1834

= 2 / 917

= 2

Step3:

LCM(1, 470) = 470

GCD(1, 470) = ( 1 x 470 ) / 470

= 1 / 470

= 1

So, Greatest Common Divisor of 752, 698, 917, 470 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 389, 894, 480, 183
• GCD of 809, 688, 958, 719
• GCD of 575, 664, 268, 924
• GCD of 501, 979, 414, 443
• GCD of 948, 957, 232, 212

Given numbers are 752, 698, 917, 470
The greatest common divisor of numbers 752, 698, 917, 470 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 752, 698, 917, 470 is 1.

1. What is the GCD of 752, 698, 917, 470?

GCD of given numbers 752, 698, 917, 470 is 1

2. How to calculate the greatest common divisor of 752, 698, 917, 470?

We can find the highest common divisor of 752, 698, 917, 470 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 752, 698, 917, 470 i.e 1.

3. How can I use the GCD of 752, 698, 917, 470Calculator?

Out the numbers 752, 698, 917, 470 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.