GCD of 548, 350, 214, 978 Calculator

Given Input numbers are 548, 350, 214, 978

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

Divisors of 548 :

The positive integer divisors of 548 that completely divides 548 are.

1, 2, 4, 137, 274, 548

Divisors of 350 :

The positive integer divisors of 350 that completely divides 350 are.

1, 2, 5, 7, 10, 14, 25, 35, 50, 70, 175, 350

Divisors of 214 :

The positive integer divisors of 214 that completely divides 214 are.

1, 2, 107, 214

Divisors of 978 :

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

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

GCD of numbers is the greatest common divisor

So, the GCD (548, 350, 214, 978) = 2.

Given numbers are 548, 350, 214, 978

The list of prime factors of all numbers are

Prime factors of 548 are 2 x 2 x 137

Prime factors of 350 are 2 x 5 x 5 x 7

Prime factors of 214 are 2 x 107

Prime factors of 978 are 2 x 3 x 163

The highest common occurrence is 2¹

Therefore, GCD of 548, 350, 214, 978 is 2.

Given numbers are 548, 350, 214, 978

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

Apply this formula for all numbers.

Step1:

LCM(548, 350) = 95900

GCD(548, 350) = ( 548 x 350 ) / 95900

= 548 / 350

= 548

Step2:

LCM(2, 214) = 214

GCD(2, 214) = ( 2 x 214 ) / 214

= 2 / 214

= 2

Step3:

LCM(2, 978) = 978

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

= 2 / 978

= 2

So, Greatest Common Divisor of 548, 350, 214, 978 is 2

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• GCD of 527, 822, 347, 824
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Given numbers are 548, 350, 214, 978
The greatest common divisor of numbers 548, 350, 214, 978 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 548, 350, 214, 978 is 2.

1. What is the GCD of 548, 350, 214, 978?

GCD of given numbers 548, 350, 214, 978 is 2

2. How to calculate the greatest common divisor of 548, 350, 214, 978?

We can find the highest common divisor of 548, 350, 214, 978 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 548, 350, 214, 978 i.e 2.

3. How can I use the GCD of 548, 350, 214, 978Calculator?

Out the numbers 548, 350, 214, 978 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.