GCD of 354, 987, 273 Calculator

Given Input numbers are 354, 987, 273

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

Divisors of 354 :

The positive integer divisors of 354 that completely divides 354 are.

1, 2, 3, 6, 59, 118, 177, 354

Divisors of 987 :

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

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

Divisors of 273 :

The positive integer divisors of 273 that completely divides 273 are.

1, 3, 7, 13, 21, 39, 91, 273

GCD of numbers is the greatest common divisor

So, the GCD (354, 987, 273) = 3.

Given numbers are 354, 987, 273

The list of prime factors of all numbers are

Prime factors of 354 are 2 x 3 x 59

Prime factors of 987 are 3 x 7 x 47

Prime factors of 273 are 3 x 7 x 13

The highest common occurrence is 3¹

Therefore, GCD of 354, 987, 273 is 3.

Given numbers are 354, 987, 273

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

Apply this formula for all numbers.

Step1:

LCM(354, 987) = 116466

GCD(354, 987) = ( 354 x 987 ) / 116466

= 354 / 987

= 354

Step2:

LCM(3, 273) = 273

GCD(3, 273) = ( 3 x 273 ) / 273

= 3 / 273

= 3

So, Greatest Common Divisor of 354, 987, 273 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 690, 202, 116
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Given numbers are 354, 987, 273
The greatest common divisor of numbers 354, 987, 273 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 354, 987, 273 is 3.

1. What is the GCD of 354, 987, 273?

GCD of given numbers 354, 987, 273 is 3

2. How to calculate the greatest common divisor of 354, 987, 273?

We can find the highest common divisor of 354, 987, 273 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 354, 987, 273 i.e 3.

3. How can I use the GCD of 354, 987, 273Calculator?

Out the numbers 354, 987, 273 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.