GCD of 298, 698, 700, 610 Calculator

Given Input numbers are 298, 698, 700, 610

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

Divisors of 298 :

The positive integer divisors of 298 that completely divides 298 are.

1, 2, 149, 298

Divisors of 698 :

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

1, 2, 349, 698

Divisors of 700 :

The positive integer divisors of 700 that completely divides 700 are.

1, 2, 4, 5, 7, 10, 14, 20, 25, 28, 35, 50, 70, 100, 140, 175, 350, 700

Divisors of 610 :

The positive integer divisors of 610 that completely divides 610 are.

1, 2, 5, 10, 61, 122, 305, 610

GCD of numbers is the greatest common divisor

So, the GCD (298, 698, 700, 610) = 2.

Given numbers are 298, 698, 700, 610

The list of prime factors of all numbers are

Prime factors of 298 are 2 x 149

Prime factors of 698 are 2 x 349

Prime factors of 700 are 2 x 2 x 5 x 5 x 7

Prime factors of 610 are 2 x 5 x 61

The highest common occurrence is 2¹

Therefore, GCD of 298, 698, 700, 610 is 2.

Given numbers are 298, 698, 700, 610

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

Apply this formula for all numbers.

Step1:

LCM(298, 698) = 104002

GCD(298, 698) = ( 298 x 698 ) / 104002

= 298 / 698

= 298

Step2:

LCM(2, 700) = 700

GCD(2, 700) = ( 2 x 700 ) / 700

= 2 / 700

= 2

Step3:

LCM(2, 610) = 610

GCD(2, 610) = ( 2 x 610 ) / 610

= 2 / 610

= 2

So, Greatest Common Divisor of 298, 698, 700, 610 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 226, 120, 933, 528
• GCD of 418, 852, 514, 353
• GCD of 310, 769, 403, 854
• GCD of 940, 527, 762, 526
• GCD of 793, 941, 226, 336

Given numbers are 298, 698, 700, 610
The greatest common divisor of numbers 298, 698, 700, 610 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 298, 698, 700, 610 is 2.

1. What is the GCD of 298, 698, 700, 610?

GCD of given numbers 298, 698, 700, 610 is 2

2. How to calculate the greatest common divisor of 298, 698, 700, 610?

We can find the highest common divisor of 298, 698, 700, 610 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 298, 698, 700, 610 i.e 2.

3. How can I use the GCD of 298, 698, 700, 610Calculator?

Out the numbers 298, 698, 700, 610 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.