GCD of 874, 686, 694, 958 Calculator

Given Input numbers are 874, 686, 694, 958

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

Divisors of 874 :

The positive integer divisors of 874 that completely divides 874 are.

1, 2, 19, 23, 38, 46, 437, 874

Divisors of 686 :

The positive integer divisors of 686 that completely divides 686 are.

1, 2, 7, 14, 49, 98, 343, 686

Divisors of 694 :

The positive integer divisors of 694 that completely divides 694 are.

1, 2, 347, 694

Divisors of 958 :

The positive integer divisors of 958 that completely divides 958 are.

1, 2, 479, 958

GCD of numbers is the greatest common divisor

So, the GCD (874, 686, 694, 958) = 2.

Given numbers are 874, 686, 694, 958

The list of prime factors of all numbers are

Prime factors of 874 are 2 x 19 x 23

Prime factors of 686 are 2 x 7 x 7 x 7

Prime factors of 694 are 2 x 347

Prime factors of 958 are 2 x 479

The highest common occurrence is 2¹

Therefore, GCD of 874, 686, 694, 958 is 2.

Given numbers are 874, 686, 694, 958

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

Apply this formula for all numbers.

Step1:

LCM(874, 686) = 299782

GCD(874, 686) = ( 874 x 686 ) / 299782

= 874 / 686

= 874

Step2:

LCM(2, 694) = 694

GCD(2, 694) = ( 2 x 694 ) / 694

= 2 / 694

= 2

Step3:

LCM(2, 958) = 958

GCD(2, 958) = ( 2 x 958 ) / 958

= 2 / 958

= 2

So, Greatest Common Divisor of 874, 686, 694, 958 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 665, 103, 427, 882
• GCD of 674, 326, 748, 787
• GCD of 809, 199, 521, 579
• GCD of 553, 411, 928, 535
• GCD of 545, 524, 712, 107

Given numbers are 874, 686, 694, 958
The greatest common divisor of numbers 874, 686, 694, 958 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 874, 686, 694, 958 is 2.

1. What is the GCD of 874, 686, 694, 958?

GCD of given numbers 874, 686, 694, 958 is 2

2. How to calculate the greatest common divisor of 874, 686, 694, 958?

We can find the highest common divisor of 874, 686, 694, 958 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 874, 686, 694, 958 i.e 2.

3. How can I use the GCD of 874, 686, 694, 958Calculator?

Out the numbers 874, 686, 694, 958 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.