GCD of 148, 978, 146 Calculator

Given Input numbers are 148, 978, 146

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

Divisors of 148 :

The positive integer divisors of 148 that completely divides 148 are.

1, 2, 4, 37, 74, 148

Divisors of 978 :

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

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

Divisors of 146 :

The positive integer divisors of 146 that completely divides 146 are.

1, 2, 73, 146

GCD of numbers is the greatest common divisor

So, the GCD (148, 978, 146) = 2.

Given numbers are 148, 978, 146

The list of prime factors of all numbers are

Prime factors of 148 are 2 x 2 x 37

Prime factors of 978 are 2 x 3 x 163

Prime factors of 146 are 2 x 73

The highest common occurrence is 2¹

Therefore, GCD of 148, 978, 146 is 2.

Given numbers are 148, 978, 146

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

Apply this formula for all numbers.

Step1:

LCM(148, 978) = 72372

GCD(148, 978) = ( 148 x 978 ) / 72372

= 148 / 978

= 148

Step2:

LCM(2, 146) = 146

GCD(2, 146) = ( 2 x 146 ) / 146

= 2 / 146

= 2

So, Greatest Common Divisor of 148, 978, 146 is 2

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Given numbers are 148, 978, 146
The greatest common divisor of numbers 148, 978, 146 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 148, 978, 146 is 2.

1. What is the GCD of 148, 978, 146?

GCD of given numbers 148, 978, 146 is 2

2. How to calculate the greatest common divisor of 148, 978, 146?

We can find the highest common divisor of 148, 978, 146 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 148, 978, 146 i.e 2.

3. How can I use the GCD of 148, 978, 146Calculator?

Out the numbers 148, 978, 146 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.