GCD of 978, 282, 138, 712 Calculator

Given Input numbers are 978, 282, 138, 712

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

Divisors of 978 :

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

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

Divisors of 282 :

The positive integer divisors of 282 that completely divides 282 are.

1, 2, 3, 6, 47, 94, 141, 282

Divisors of 138 :

The positive integer divisors of 138 that completely divides 138 are.

1, 2, 3, 6, 23, 46, 69, 138

Divisors of 712 :

The positive integer divisors of 712 that completely divides 712 are.

1, 2, 4, 8, 89, 178, 356, 712

GCD of numbers is the greatest common divisor

So, the GCD (978, 282, 138, 712) = 2.

Given numbers are 978, 282, 138, 712

The list of prime factors of all numbers are

Prime factors of 978 are 2 x 3 x 163

Prime factors of 282 are 2 x 3 x 47

Prime factors of 138 are 2 x 3 x 23

Prime factors of 712 are 2 x 2 x 2 x 89

The highest common occurrence is 2¹

Therefore, GCD of 978, 282, 138, 712 is 2.

Given numbers are 978, 282, 138, 712

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

Apply this formula for all numbers.

Step1:

LCM(978, 282) = 45966

GCD(978, 282) = ( 978 x 282 ) / 45966

= 978 / 282

= 978

Step2:

LCM(6, 138) = 138

GCD(6, 138) = ( 6 x 138 ) / 138

= 6 / 138

= 6

Step3:

LCM(6, 712) = 2136

GCD(6, 712) = ( 6 x 712 ) / 2136

= 6 / 712

= 6

So, Greatest Common Divisor of 978, 282, 138, 712 is 2

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Given numbers are 978, 282, 138, 712
The greatest common divisor of numbers 978, 282, 138, 712 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 978, 282, 138, 712 is 2.

1. What is the GCD of 978, 282, 138, 712?

GCD of given numbers 978, 282, 138, 712 is 2

2. How to calculate the greatest common divisor of 978, 282, 138, 712?

We can find the highest common divisor of 978, 282, 138, 712 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 978, 282, 138, 712 i.e 2.

3. How can I use the GCD of 978, 282, 138, 712Calculator?

Out the numbers 978, 282, 138, 712 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.