GCD of 700, 598, 374, 298 Calculator

Given Input numbers are 700, 598, 374, 298

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

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 598 :

The positive integer divisors of 598 that completely divides 598 are.

1, 2, 13, 23, 26, 46, 299, 598

Divisors of 374 :

The positive integer divisors of 374 that completely divides 374 are.

1, 2, 11, 17, 22, 34, 187, 374

Divisors of 298 :

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

1, 2, 149, 298

GCD of numbers is the greatest common divisor

So, the GCD (700, 598, 374, 298) = 2.

Given numbers are 700, 598, 374, 298

The list of prime factors of all numbers are

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

Prime factors of 598 are 2 x 13 x 23

Prime factors of 374 are 2 x 11 x 17

Prime factors of 298 are 2 x 149

The highest common occurrence is 2¹

Therefore, GCD of 700, 598, 374, 298 is 2.

Given numbers are 700, 598, 374, 298

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

Apply this formula for all numbers.

Step1:

LCM(700, 598) = 209300

GCD(700, 598) = ( 700 x 598 ) / 209300

= 700 / 598

= 700

Step2:

LCM(2, 374) = 374

GCD(2, 374) = ( 2 x 374 ) / 374

= 2 / 374

= 2

Step3:

LCM(2, 298) = 298

GCD(2, 298) = ( 2 x 298 ) / 298

= 2 / 298

= 2

So, Greatest Common Divisor of 700, 598, 374, 298 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 722, 934, 607, 835
• GCD of 255, 573, 606, 560
• GCD of 757, 920, 398, 316
• GCD of 670, 774, 509, 510
• GCD of 861, 300, 380, 883

Given numbers are 700, 598, 374, 298
The greatest common divisor of numbers 700, 598, 374, 298 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 700, 598, 374, 298 is 2.

1. What is the GCD of 700, 598, 374, 298?

GCD of given numbers 700, 598, 374, 298 is 2

2. How to calculate the greatest common divisor of 700, 598, 374, 298?

We can find the highest common divisor of 700, 598, 374, 298 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 700, 598, 374, 298 i.e 2.

3. How can I use the GCD of 700, 598, 374, 298Calculator?

Out the numbers 700, 598, 374, 298 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.