GCD of 360, 974, 70, 686 Calculator

Given Input numbers are 360, 974, 70, 686

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

Divisors of 360 :

The positive integer divisors of 360 that completely divides 360 are.

1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 18, 20, 24, 30, 36, 40, 45, 60, 72, 90, 120, 180, 360

Divisors of 974 :

The positive integer divisors of 974 that completely divides 974 are.

1, 2, 487, 974

Divisors of 70 :

The positive integer divisors of 70 that completely divides 70 are.

1, 2, 5, 7, 10, 14, 35, 70

Divisors of 686 :

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

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

GCD of numbers is the greatest common divisor

So, the GCD (360, 974, 70, 686) = 2.

Given numbers are 360, 974, 70, 686

The list of prime factors of all numbers are

Prime factors of 360 are 2 x 2 x 2 x 3 x 3 x 5

Prime factors of 974 are 2 x 487

Prime factors of 70 are 2 x 5 x 7

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

The highest common occurrence is 2¹

Therefore, GCD of 360, 974, 70, 686 is 2.

Given numbers are 360, 974, 70, 686

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

Apply this formula for all numbers.

Step1:

LCM(360, 974) = 175320

GCD(360, 974) = ( 360 x 974 ) / 175320

= 360 / 974

= 360

Step2:

LCM(2, 70) = 70

GCD(2, 70) = ( 2 x 70 ) / 70

= 2 / 70

= 2

Step3:

LCM(2, 686) = 686

GCD(2, 686) = ( 2 x 686 ) / 686

= 2 / 686

= 2

So, Greatest Common Divisor of 360, 974, 70, 686 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 498, 651, 70, 676
• GCD of 220, 980, 23, 344
• GCD of 668, 536, 32, 396
• GCD of 614, 551, 69, 294
• GCD of 649, 983, 55, 717

Given numbers are 360, 974, 70, 686
The greatest common divisor of numbers 360, 974, 70, 686 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 360, 974, 70, 686 is 2.

1. What is the GCD of 360, 974, 70, 686?

GCD of given numbers 360, 974, 70, 686 is 2

2. How to calculate the greatest common divisor of 360, 974, 70, 686?

We can find the highest common divisor of 360, 974, 70, 686 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 360, 974, 70, 686 i.e 2.

3. How can I use the GCD of 360, 974, 70, 686Calculator?

Out the numbers 360, 974, 70, 686 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.