GCD of 698, 870, 268, 658 Calculator

Given Input numbers are 698, 870, 268, 658

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 870 :

The positive integer divisors of 870 that completely divides 870 are.

1, 2, 3, 5, 6, 10, 15, 29, 30, 58, 87, 145, 174, 290, 435, 870

Divisors of 268 :

The positive integer divisors of 268 that completely divides 268 are.

1, 2, 4, 67, 134, 268

Divisors of 658 :

The positive integer divisors of 658 that completely divides 658 are.

1, 2, 7, 14, 47, 94, 329, 658

GCD of numbers is the greatest common divisor

So, the GCD (698, 870, 268, 658) = 2.

Given numbers are 698, 870, 268, 658

The list of prime factors of all numbers are

Prime factors of 698 are 2 x 349

Prime factors of 870 are 2 x 3 x 5 x 29

Prime factors of 268 are 2 x 2 x 67

Prime factors of 658 are 2 x 7 x 47

The highest common occurrence is 2¹

Therefore, GCD of 698, 870, 268, 658 is 2.

Given numbers are 698, 870, 268, 658

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

Apply this formula for all numbers.

Step1:

LCM(698, 870) = 303630

GCD(698, 870) = ( 698 x 870 ) / 303630

= 698 / 870

= 698

Step2:

LCM(2, 268) = 268

GCD(2, 268) = ( 2 x 268 ) / 268

= 2 / 268

= 2

Step3:

LCM(2, 658) = 658

GCD(2, 658) = ( 2 x 658 ) / 658

= 2 / 658

= 2

So, Greatest Common Divisor of 698, 870, 268, 658 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 749, 322, 971, 467
• GCD of 403, 881, 844, 715
• GCD of 821, 434, 517, 594
• GCD of 645, 798, 502, 481
• GCD of 230, 431, 465, 784

Given numbers are 698, 870, 268, 658
The greatest common divisor of numbers 698, 870, 268, 658 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 698, 870, 268, 658 is 2.

1. What is the GCD of 698, 870, 268, 658?

GCD of given numbers 698, 870, 268, 658 is 2

2. How to calculate the greatest common divisor of 698, 870, 268, 658?

We can find the highest common divisor of 698, 870, 268, 658 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, 870, 268, 658 i.e 2.

3. How can I use the GCD of 698, 870, 268, 658Calculator?

Out the numbers 698, 870, 268, 658 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.