GCD of 360, 268, 608, 715 Calculator

Given Input numbers are 360, 268, 608, 715

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 268 :

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

1, 2, 4, 67, 134, 268

Divisors of 608 :

The positive integer divisors of 608 that completely divides 608 are.

1, 2, 4, 8, 16, 19, 32, 38, 76, 152, 304, 608

Divisors of 715 :

The positive integer divisors of 715 that completely divides 715 are.

1, 5, 11, 13, 55, 65, 143, 715

GCD of numbers is the greatest common divisor

So, the GCD (360, 268, 608, 715) = 1.

Given numbers are 360, 268, 608, 715

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 268 are 2 x 2 x 67

Prime factors of 608 are 2 x 2 x 2 x 2 x 2 x 19

Prime factors of 715 are 5 x 11 x 13

The above numbers do not have any common prime factor. So GCD is 1

Given numbers are 360, 268, 608, 715

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

Apply this formula for all numbers.

Step1:

LCM(360, 268) = 24120

GCD(360, 268) = ( 360 x 268 ) / 24120

= 360 / 268

= 360

Step2:

LCM(4, 608) = 608

GCD(4, 608) = ( 4 x 608 ) / 608

= 4 / 608

= 4

Step3:

LCM(4, 715) = 2860

GCD(4, 715) = ( 4 x 715 ) / 2860

= 4 / 715

= 4

So, Greatest Common Divisor of 360, 268, 608, 715 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 498, 519, 469, 830
• GCD of 518, 620, 138, 646
• GCD of 149, 769, 185, 319
• GCD of 841, 934, 239, 544
• GCD of 193, 918, 893, 199

Given numbers are 360, 268, 608, 715
The greatest common divisor of numbers 360, 268, 608, 715 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 360, 268, 608, 715 is 1.

1. What is the GCD of 360, 268, 608, 715?

GCD of given numbers 360, 268, 608, 715 is 1

2. How to calculate the greatest common divisor of 360, 268, 608, 715?

We can find the highest common divisor of 360, 268, 608, 715 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, 268, 608, 715 i.e 1.

3. How can I use the GCD of 360, 268, 608, 715Calculator?

Out the numbers 360, 268, 608, 715 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.