GCD of 700, 648, 978, 496 Calculator

Given Input numbers are 700, 648, 978, 496

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

Divisors of 700 :

The positive integer divisors of 700 that completely divides 700 are.

1, 2, 4, 5, 7, 10, 14, 20, 25, 28, 35, 50, 70, 100, 140, 175, 350, 700

Divisors of 648 :

The positive integer divisors of 648 that completely divides 648 are.

1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 27, 36, 54, 72, 81, 108, 162, 216, 324, 648

Divisors of 978 :

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

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

Divisors of 496 :

The positive integer divisors of 496 that completely divides 496 are.

1, 2, 4, 8, 16, 31, 62, 124, 248, 496

GCD of numbers is the greatest common divisor

So, the GCD (700, 648, 978, 496) = 2.

Given numbers are 700, 648, 978, 496

The list of prime factors of all numbers are

Prime factors of 700 are 2 x 2 x 5 x 5 x 7

Prime factors of 648 are 2 x 2 x 2 x 3 x 3 x 3 x 3

Prime factors of 978 are 2 x 3 x 163

Prime factors of 496 are 2 x 2 x 2 x 2 x 31

The highest common occurrence is 2¹

Therefore, GCD of 700, 648, 978, 496 is 2.

Given numbers are 700, 648, 978, 496

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

Apply this formula for all numbers.

Step1:

LCM(700, 648) = 113400

GCD(700, 648) = ( 700 x 648 ) / 113400

= 700 / 648

= 700

Step2:

LCM(4, 978) = 1956

GCD(4, 978) = ( 4 x 978 ) / 1956

= 4 / 978

= 4

Step3:

LCM(2, 496) = 496

GCD(2, 496) = ( 2 x 496 ) / 496

= 2 / 496

= 2

So, Greatest Common Divisor of 700, 648, 978, 496 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 388, 470, 681, 841
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Given numbers are 700, 648, 978, 496
The greatest common divisor of numbers 700, 648, 978, 496 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 700, 648, 978, 496 is 2.

1. What is the GCD of 700, 648, 978, 496?

GCD of given numbers 700, 648, 978, 496 is 2

2. How to calculate the greatest common divisor of 700, 648, 978, 496?

We can find the highest common divisor of 700, 648, 978, 496 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 700, 648, 978, 496 i.e 2.

3. How can I use the GCD of 700, 648, 978, 496Calculator?

Out the numbers 700, 648, 978, 496 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.