GCD of 658, 390, 978, 118 Calculator

Given Input numbers are 658, 390, 978, 118

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

Divisors of 658 :

The positive integer divisors of 658 that completely divides 658 are.

1, 2, 7, 14, 47, 94, 329, 658

Divisors of 390 :

The positive integer divisors of 390 that completely divides 390 are.

1, 2, 3, 5, 6, 10, 13, 15, 26, 30, 39, 65, 78, 130, 195, 390

Divisors of 978 :

The positive integer divisors of 978 that completely divides 978 are.

1, 2, 3, 6, 163, 326, 489, 978

Divisors of 118 :

The positive integer divisors of 118 that completely divides 118 are.

1, 2, 59, 118

GCD of numbers is the greatest common divisor

So, the GCD (658, 390, 978, 118) = 2.

Given numbers are 658, 390, 978, 118

The list of prime factors of all numbers are

Prime factors of 658 are 2 x 7 x 47

Prime factors of 390 are 2 x 3 x 5 x 13

Prime factors of 978 are 2 x 3 x 163

Prime factors of 118 are 2 x 59

The highest common occurrence is 2¹

Therefore, GCD of 658, 390, 978, 118 is 2.

Given numbers are 658, 390, 978, 118

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

Apply this formula for all numbers.

Step1:

LCM(658, 390) = 128310

GCD(658, 390) = ( 658 x 390 ) / 128310

= 658 / 390

= 658

Step2:

LCM(2, 978) = 978

GCD(2, 978) = ( 2 x 978 ) / 978

= 2 / 978

= 2

Step3:

LCM(2, 118) = 118

GCD(2, 118) = ( 2 x 118 ) / 118

= 2 / 118

= 2

So, Greatest Common Divisor of 658, 390, 978, 118 is 2

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Given numbers are 658, 390, 978, 118
The greatest common divisor of numbers 658, 390, 978, 118 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 658, 390, 978, 118 is 2.

1. What is the GCD of 658, 390, 978, 118?

GCD of given numbers 658, 390, 978, 118 is 2

2. How to calculate the greatest common divisor of 658, 390, 978, 118?

We can find the highest common divisor of 658, 390, 978, 118 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 658, 390, 978, 118 i.e 2.

3. How can I use the GCD of 658, 390, 978, 118Calculator?

Out the numbers 658, 390, 978, 118 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.