GCD of 698, 271, 98, 784 Calculator

Given Input numbers are 698, 271, 98, 784

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 271 :

The positive integer divisors of 271 that completely divides 271 are.

1, 271

Divisors of 98 :

The positive integer divisors of 98 that completely divides 98 are.

1, 2, 7, 14, 49, 98

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

GCD of numbers is the greatest common divisor

So, the GCD (698, 271, 98, 784) = 1.

Given numbers are 698, 271, 98, 784

The list of prime factors of all numbers are

Prime factors of 698 are 2 x 349

Prime factors of 271 are 271

Prime factors of 98 are 2 x 7 x 7

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

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

Given numbers are 698, 271, 98, 784

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

Apply this formula for all numbers.

Step1:

LCM(698, 271) = 189158

GCD(698, 271) = ( 698 x 271 ) / 189158

= 698 / 271

= 698

Step2:

LCM(1, 98) = 98

GCD(1, 98) = ( 1 x 98 ) / 98

= 1 / 98

= 1

Step3:

LCM(1, 784) = 784

GCD(1, 784) = ( 1 x 784 ) / 784

= 1 / 784

= 1

So, Greatest Common Divisor of 698, 271, 98, 784 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 412, 926, 54, 603
• GCD of 157, 422, 86, 132
• GCD of 625, 618, 87, 223
• GCD of 258, 489, 95, 860
• GCD of 513, 729, 78, 329

Given numbers are 698, 271, 98, 784
The greatest common divisor of numbers 698, 271, 98, 784 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 698, 271, 98, 784 is 1.

1. What is the GCD of 698, 271, 98, 784?

GCD of given numbers 698, 271, 98, 784 is 1

2. How to calculate the greatest common divisor of 698, 271, 98, 784?

We can find the highest common divisor of 698, 271, 98, 784 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, 271, 98, 784 i.e 1.

3. How can I use the GCD of 698, 271, 98, 784Calculator?

Out the numbers 698, 271, 98, 784 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.