GCD of 357, 901, 986 Calculator

Given Input numbers are 357, 901, 986

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

Divisors of 357 :

The positive integer divisors of 357 that completely divides 357 are.

1, 3, 7, 17, 21, 51, 119, 357

Divisors of 901 :

The positive integer divisors of 901 that completely divides 901 are.

1, 17, 53, 901

Divisors of 986 :

The positive integer divisors of 986 that completely divides 986 are.

1, 2, 17, 29, 34, 58, 493, 986

GCD of numbers is the greatest common divisor

So, the GCD (357, 901, 986) = 17.

Given numbers are 357, 901, 986

The list of prime factors of all numbers are

Prime factors of 357 are 3 x 7 x 17

Prime factors of 901 are 17 x 53

Prime factors of 986 are 2 x 17 x 29

The highest common occurrence is 17¹

Therefore, GCD of 357, 901, 986 is 17.

Given numbers are 357, 901, 986

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

Apply this formula for all numbers.

Step1:

LCM(357, 901) = 18921

GCD(357, 901) = ( 357 x 901 ) / 18921

= 357 / 901

= 357

Step2:

LCM(17, 986) = 986

GCD(17, 986) = ( 17 x 986 ) / 986

= 17 / 986

= 17

So, Greatest Common Divisor of 357, 901, 986 is 17

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• GCD of 402, 489, 889
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Given numbers are 357, 901, 986
The greatest common divisor of numbers 357, 901, 986 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 357, 901, 986 is 17.

1. What is the GCD of 357, 901, 986?

GCD of given numbers 357, 901, 986 is 17

2. How to calculate the greatest common divisor of 357, 901, 986?

We can find the highest common divisor of 357, 901, 986 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 357, 901, 986 i.e 17.

3. How can I use the GCD of 357, 901, 986Calculator?

Out the numbers 357, 901, 986 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.