GCD of 370, 254, 698, 978 Calculator

Given Input numbers are 370, 254, 698, 978

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

Divisors of 370 :

The positive integer divisors of 370 that completely divides 370 are.

1, 2, 5, 10, 37, 74, 185, 370

Divisors of 254 :

The positive integer divisors of 254 that completely divides 254 are.

1, 2, 127, 254

Divisors of 698 :

The positive integer divisors of 698 that completely divides 698 are.

1, 2, 349, 698

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 (370, 254, 698, 978) = 2.

Given numbers are 370, 254, 698, 978

The list of prime factors of all numbers are

Prime factors of 370 are 2 x 5 x 37

Prime factors of 254 are 2 x 127

Prime factors of 698 are 2 x 349

Prime factors of 978 are 2 x 3 x 163

The highest common occurrence is 2¹

Therefore, GCD of 370, 254, 698, 978 is 2.

Given numbers are 370, 254, 698, 978

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

Apply this formula for all numbers.

Step1:

LCM(370, 254) = 46990

GCD(370, 254) = ( 370 x 254 ) / 46990

= 370 / 254

= 370

Step2:

LCM(2, 698) = 698

GCD(2, 698) = ( 2 x 698 ) / 698

= 2 / 698

= 2

Step3:

LCM(2, 978) = 978

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

= 2 / 978

= 2

So, Greatest Common Divisor of 370, 254, 698, 978 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 723, 236, 833, 482
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Given numbers are 370, 254, 698, 978
The greatest common divisor of numbers 370, 254, 698, 978 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 370, 254, 698, 978 is 2.

1. What is the GCD of 370, 254, 698, 978?

GCD of given numbers 370, 254, 698, 978 is 2

2. How to calculate the greatest common divisor of 370, 254, 698, 978?

We can find the highest common divisor of 370, 254, 698, 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 370, 254, 698, 978 i.e 2.

3. How can I use the GCD of 370, 254, 698, 978Calculator?

Out the numbers 370, 254, 698, 978 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.