GCD of 464, 116, 723, 978 Calculator

Given Input numbers are 464, 116, 723, 978

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

Divisors of 464 :

The positive integer divisors of 464 that completely divides 464 are.

1, 2, 4, 8, 16, 29, 58, 116, 232, 464

Divisors of 116 :

The positive integer divisors of 116 that completely divides 116 are.

1, 2, 4, 29, 58, 116

Divisors of 723 :

The positive integer divisors of 723 that completely divides 723 are.

1, 3, 241, 723

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 (464, 116, 723, 978) = 1.

Given numbers are 464, 116, 723, 978

The list of prime factors of all numbers are

Prime factors of 464 are 2 x 2 x 2 x 2 x 29

Prime factors of 116 are 2 x 2 x 29

Prime factors of 723 are 3 x 241

Prime factors of 978 are 2 x 3 x 163

The above numbers do not have any common prime factor. So GCD is 1

Given numbers are 464, 116, 723, 978

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

Apply this formula for all numbers.

Step1:

LCM(464, 116) = 464

GCD(464, 116) = ( 464 x 116 ) / 464

= 464 / 116

= 464

Step2:

LCM(116, 723) = 83868

GCD(116, 723) = ( 116 x 723 ) / 83868

= 116 / 723

= 116

Step3:

LCM(1, 978) = 978

GCD(1, 978) = ( 1 x 978 ) / 978

= 1 / 978

= 1

So, Greatest Common Divisor of 464, 116, 723, 978 is 1

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• GCD of 136, 665, 895, 907
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Given numbers are 464, 116, 723, 978
The greatest common divisor of numbers 464, 116, 723, 978 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 464, 116, 723, 978 is 1.

1. What is the GCD of 464, 116, 723, 978?

GCD of given numbers 464, 116, 723, 978 is 1

2. How to calculate the greatest common divisor of 464, 116, 723, 978?

We can find the highest common divisor of 464, 116, 723, 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 464, 116, 723, 978 i.e 1.

3. How can I use the GCD of 464, 116, 723, 978Calculator?

Out the numbers 464, 116, 723, 978 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.