GCD of 715, 112, 438, 280 Calculator

Given Input numbers are 715, 112, 438, 280

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

Divisors of 715 :

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

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

Divisors of 112 :

The positive integer divisors of 112 that completely divides 112 are.

1, 2, 4, 7, 8, 14, 16, 28, 56, 112

Divisors of 438 :

The positive integer divisors of 438 that completely divides 438 are.

1, 2, 3, 6, 73, 146, 219, 438

Divisors of 280 :

The positive integer divisors of 280 that completely divides 280 are.

1, 2, 4, 5, 7, 8, 10, 14, 20, 28, 35, 40, 56, 70, 140, 280

GCD of numbers is the greatest common divisor

So, the GCD (715, 112, 438, 280) = 1.

Given numbers are 715, 112, 438, 280

The list of prime factors of all numbers are

Prime factors of 715 are 5 x 11 x 13

Prime factors of 112 are 2 x 2 x 2 x 2 x 7

Prime factors of 438 are 2 x 3 x 73

Prime factors of 280 are 2 x 2 x 2 x 5 x 7

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

Given numbers are 715, 112, 438, 280

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

Apply this formula for all numbers.

Step1:

LCM(715, 112) = 80080

GCD(715, 112) = ( 715 x 112 ) / 80080

= 715 / 112

= 715

Step2:

LCM(1, 438) = 438

GCD(1, 438) = ( 1 x 438 ) / 438

= 1 / 438

= 1

Step3:

LCM(1, 280) = 280

GCD(1, 280) = ( 1 x 280 ) / 280

= 1 / 280

= 1

So, Greatest Common Divisor of 715, 112, 438, 280 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 560, 577, 591, 947
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Given numbers are 715, 112, 438, 280
The greatest common divisor of numbers 715, 112, 438, 280 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 715, 112, 438, 280 is 1.

1. What is the GCD of 715, 112, 438, 280?

GCD of given numbers 715, 112, 438, 280 is 1

2. How to calculate the greatest common divisor of 715, 112, 438, 280?

We can find the highest common divisor of 715, 112, 438, 280 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 715, 112, 438, 280 i.e 1.

3. How can I use the GCD of 715, 112, 438, 280Calculator?

Out the numbers 715, 112, 438, 280 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.