GCD of 648, 978, 134, 974 Calculator

Given Input numbers are 648, 978, 134, 974

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

Divisors of 648 :

The positive integer divisors of 648 that completely divides 648 are.

1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 27, 36, 54, 72, 81, 108, 162, 216, 324, 648

Divisors of 978 :

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

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

Divisors of 134 :

The positive integer divisors of 134 that completely divides 134 are.

1, 2, 67, 134

Divisors of 974 :

The positive integer divisors of 974 that completely divides 974 are.

1, 2, 487, 974

GCD of numbers is the greatest common divisor

So, the GCD (648, 978, 134, 974) = 2.

Given numbers are 648, 978, 134, 974

The list of prime factors of all numbers are

Prime factors of 648 are 2 x 2 x 2 x 3 x 3 x 3 x 3

Prime factors of 978 are 2 x 3 x 163

Prime factors of 134 are 2 x 67

Prime factors of 974 are 2 x 487

The highest common occurrence is 2¹

Therefore, GCD of 648, 978, 134, 974 is 2.

Given numbers are 648, 978, 134, 974

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

Apply this formula for all numbers.

Step1:

LCM(648, 978) = 105624

GCD(648, 978) = ( 648 x 978 ) / 105624

= 648 / 978

= 648

Step2:

LCM(6, 134) = 402

GCD(6, 134) = ( 6 x 134 ) / 402

= 6 / 134

= 6

Step3:

LCM(2, 974) = 974

GCD(2, 974) = ( 2 x 974 ) / 974

= 2 / 974

= 2

So, Greatest Common Divisor of 648, 978, 134, 974 is 2

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Given numbers are 648, 978, 134, 974
The greatest common divisor of numbers 648, 978, 134, 974 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 648, 978, 134, 974 is 2.

1. What is the GCD of 648, 978, 134, 974?

GCD of given numbers 648, 978, 134, 974 is 2

2. How to calculate the greatest common divisor of 648, 978, 134, 974?

We can find the highest common divisor of 648, 978, 134, 974 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 648, 978, 134, 974 i.e 2.

3. How can I use the GCD of 648, 978, 134, 974Calculator?

Out the numbers 648, 978, 134, 974 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.