GCD of 698, 392, 448, 296 Calculator

Given Input numbers are 698, 392, 448, 296

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 392 :

The positive integer divisors of 392 that completely divides 392 are.

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

Divisors of 448 :

The positive integer divisors of 448 that completely divides 448 are.

1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 64, 112, 224, 448

Divisors of 296 :

The positive integer divisors of 296 that completely divides 296 are.

1, 2, 4, 8, 37, 74, 148, 296

GCD of numbers is the greatest common divisor

So, the GCD (698, 392, 448, 296) = 2.

Given numbers are 698, 392, 448, 296

The list of prime factors of all numbers are

Prime factors of 698 are 2 x 349

Prime factors of 392 are 2 x 2 x 2 x 7 x 7

Prime factors of 448 are 2 x 2 x 2 x 2 x 2 x 2 x 7

Prime factors of 296 are 2 x 2 x 2 x 37

The highest common occurrence is 2¹

Therefore, GCD of 698, 392, 448, 296 is 2.

Given numbers are 698, 392, 448, 296

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

Apply this formula for all numbers.

Step1:

LCM(698, 392) = 136808

GCD(698, 392) = ( 698 x 392 ) / 136808

= 698 / 392

= 698

Step2:

LCM(2, 448) = 448

GCD(2, 448) = ( 2 x 448 ) / 448

= 2 / 448

= 2

Step3:

LCM(2, 296) = 296

GCD(2, 296) = ( 2 x 296 ) / 296

= 2 / 296

= 2

So, Greatest Common Divisor of 698, 392, 448, 296 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 944, 994, 436, 560
• GCD of 813, 255, 427, 705
• GCD of 909, 767, 630, 904
• GCD of 874, 963, 153, 299
• GCD of 145, 144, 559, 694

Given numbers are 698, 392, 448, 296
The greatest common divisor of numbers 698, 392, 448, 296 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 698, 392, 448, 296 is 2.

1. What is the GCD of 698, 392, 448, 296?

GCD of given numbers 698, 392, 448, 296 is 2

2. How to calculate the greatest common divisor of 698, 392, 448, 296?

We can find the highest common divisor of 698, 392, 448, 296 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, 392, 448, 296 i.e 2.

3. How can I use the GCD of 698, 392, 448, 296Calculator?

Out the numbers 698, 392, 448, 296 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.