GCD of 748, 463, 688, 978 Calculator

Given Input numbers are 748, 463, 688, 978

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

Divisors of 748 :

The positive integer divisors of 748 that completely divides 748 are.

1, 2, 4, 11, 17, 22, 34, 44, 68, 187, 374, 748

Divisors of 463 :

The positive integer divisors of 463 that completely divides 463 are.

1, 463

Divisors of 688 :

The positive integer divisors of 688 that completely divides 688 are.

1, 2, 4, 8, 16, 43, 86, 172, 344, 688

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 (748, 463, 688, 978) = 1.

Given numbers are 748, 463, 688, 978

The list of prime factors of all numbers are

Prime factors of 748 are 2 x 2 x 11 x 17

Prime factors of 463 are 463

Prime factors of 688 are 2 x 2 x 2 x 2 x 43

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 748, 463, 688, 978

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

Apply this formula for all numbers.

Step1:

LCM(748, 463) = 346324

GCD(748, 463) = ( 748 x 463 ) / 346324

= 748 / 463

= 748

Step2:

LCM(1, 688) = 688

GCD(1, 688) = ( 1 x 688 ) / 688

= 1 / 688

= 1

Step3:

LCM(1, 978) = 978

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

= 1 / 978

= 1

So, Greatest Common Divisor of 748, 463, 688, 978 is 1

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Given numbers are 748, 463, 688, 978
The greatest common divisor of numbers 748, 463, 688, 978 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 748, 463, 688, 978 is 1.

1. What is the GCD of 748, 463, 688, 978?

GCD of given numbers 748, 463, 688, 978 is 1

2. How to calculate the greatest common divisor of 748, 463, 688, 978?

We can find the highest common divisor of 748, 463, 688, 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 748, 463, 688, 978 i.e 1.

3. How can I use the GCD of 748, 463, 688, 978Calculator?

Out the numbers 748, 463, 688, 978 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.