GCD of 730, 342, 280, 987 Calculator

Given Input numbers are 730, 342, 280, 987

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

Divisors of 730 :

The positive integer divisors of 730 that completely divides 730 are.

1, 2, 5, 10, 73, 146, 365, 730

Divisors of 342 :

The positive integer divisors of 342 that completely divides 342 are.

1, 2, 3, 6, 9, 18, 19, 38, 57, 114, 171, 342

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

Divisors of 987 :

The positive integer divisors of 987 that completely divides 987 are.

1, 3, 7, 21, 47, 141, 329, 987

GCD of numbers is the greatest common divisor

So, the GCD (730, 342, 280, 987) = 1.

Given numbers are 730, 342, 280, 987

The list of prime factors of all numbers are

Prime factors of 730 are 2 x 5 x 73

Prime factors of 342 are 2 x 3 x 3 x 19

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

Prime factors of 987 are 3 x 7 x 47

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

Given numbers are 730, 342, 280, 987

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

Apply this formula for all numbers.

Step1:

LCM(730, 342) = 124830

GCD(730, 342) = ( 730 x 342 ) / 124830

= 730 / 342

= 730

Step2:

LCM(2, 280) = 280

GCD(2, 280) = ( 2 x 280 ) / 280

= 2 / 280

= 2

Step3:

LCM(2, 987) = 1974

GCD(2, 987) = ( 2 x 987 ) / 1974

= 2 / 987

= 2

So, Greatest Common Divisor of 730, 342, 280, 987 is 1

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Given numbers are 730, 342, 280, 987
The greatest common divisor of numbers 730, 342, 280, 987 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 730, 342, 280, 987 is 1.

1. What is the GCD of 730, 342, 280, 987?

GCD of given numbers 730, 342, 280, 987 is 1

2. How to calculate the greatest common divisor of 730, 342, 280, 987?

We can find the highest common divisor of 730, 342, 280, 987 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 730, 342, 280, 987 i.e 1.

3. How can I use the GCD of 730, 342, 280, 987Calculator?

Out the numbers 730, 342, 280, 987 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.