GCD of 105, 734, 987 Calculator

Given Input numbers are 105, 734, 987

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

Divisors of 105 :

The positive integer divisors of 105 that completely divides 105 are.

1, 3, 5, 7, 15, 21, 35, 105

Divisors of 734 :

The positive integer divisors of 734 that completely divides 734 are.

1, 2, 367, 734

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 (105, 734, 987) = 1.

Given numbers are 105, 734, 987

The list of prime factors of all numbers are

Prime factors of 105 are 3 x 5 x 7

Prime factors of 734 are 2 x 367

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 105, 734, 987

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

Apply this formula for all numbers.

Step1:

LCM(105, 734) = 77070

GCD(105, 734) = ( 105 x 734 ) / 77070

= 105 / 734

= 105

Step2:

LCM(1, 987) = 987

GCD(1, 987) = ( 1 x 987 ) / 987

= 1 / 987

= 1

So, Greatest Common Divisor of 105, 734, 987 is 1

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• GCD of 257, 878, 162
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Given numbers are 105, 734, 987
The greatest common divisor of numbers 105, 734, 987 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 105, 734, 987 is 1.

1. What is the GCD of 105, 734, 987?

GCD of given numbers 105, 734, 987 is 1

2. How to calculate the greatest common divisor of 105, 734, 987?

We can find the highest common divisor of 105, 734, 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 105, 734, 987 i.e 1.

3. How can I use the GCD of 105, 734, 987Calculator?

Out the numbers 105, 734, 987 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.