GCD of 698, 784, 345, 952 Calculator

Given Input numbers are 698, 784, 345, 952

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

Divisors of 698 :

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

1, 2, 349, 698

Divisors of 784 :

The positive integer divisors of 784 that completely divides 784 are.

1, 2, 4, 7, 8, 14, 16, 28, 49, 56, 98, 112, 196, 392, 784

Divisors of 345 :

The positive integer divisors of 345 that completely divides 345 are.

1, 3, 5, 15, 23, 69, 115, 345

Divisors of 952 :

The positive integer divisors of 952 that completely divides 952 are.

1, 2, 4, 7, 8, 14, 17, 28, 34, 56, 68, 119, 136, 238, 476, 952

GCD of numbers is the greatest common divisor

So, the GCD (698, 784, 345, 952) = 1.

Given numbers are 698, 784, 345, 952

The list of prime factors of all numbers are

Prime factors of 698 are 2 x 349

Prime factors of 784 are 2 x 2 x 2 x 2 x 7 x 7

Prime factors of 345 are 3 x 5 x 23

Prime factors of 952 are 2 x 2 x 2 x 7 x 17

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

Given numbers are 698, 784, 345, 952

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

Apply this formula for all numbers.

Step1:

LCM(698, 784) = 273616

GCD(698, 784) = ( 698 x 784 ) / 273616

= 698 / 784

= 698

Step2:

LCM(2, 345) = 690

GCD(2, 345) = ( 2 x 345 ) / 690

= 2 / 345

= 2

Step3:

LCM(1, 952) = 952

GCD(1, 952) = ( 1 x 952 ) / 952

= 1 / 952

= 1

So, Greatest Common Divisor of 698, 784, 345, 952 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 964, 475, 513, 341
• GCD of 537, 747, 149, 572
• GCD of 698, 585, 798, 849
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• GCD of 669, 274, 827, 273

Given numbers are 698, 784, 345, 952
The greatest common divisor of numbers 698, 784, 345, 952 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 698, 784, 345, 952 is 1.

1. What is the GCD of 698, 784, 345, 952?

GCD of given numbers 698, 784, 345, 952 is 1

2. How to calculate the greatest common divisor of 698, 784, 345, 952?

We can find the highest common divisor of 698, 784, 345, 952 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 698, 784, 345, 952 i.e 1.

3. How can I use the GCD of 698, 784, 345, 952Calculator?

Out the numbers 698, 784, 345, 952 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.