GCD of 782, 818, 742, 700 Calculator

Given Input numbers are 782, 818, 742, 700

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

Divisors of 782 :

The positive integer divisors of 782 that completely divides 782 are.

1, 2, 17, 23, 34, 46, 391, 782

Divisors of 818 :

The positive integer divisors of 818 that completely divides 818 are.

1, 2, 409, 818

Divisors of 742 :

The positive integer divisors of 742 that completely divides 742 are.

1, 2, 7, 14, 53, 106, 371, 742

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

GCD of numbers is the greatest common divisor

So, the GCD (782, 818, 742, 700) = 2.

Given numbers are 782, 818, 742, 700

The list of prime factors of all numbers are

Prime factors of 782 are 2 x 17 x 23

Prime factors of 818 are 2 x 409

Prime factors of 742 are 2 x 7 x 53

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

The highest common occurrence is 2¹

Therefore, GCD of 782, 818, 742, 700 is 2.

Given numbers are 782, 818, 742, 700

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

Apply this formula for all numbers.

Step1:

LCM(782, 818) = 319838

GCD(782, 818) = ( 782 x 818 ) / 319838

= 782 / 818

= 782

Step2:

LCM(2, 742) = 742

GCD(2, 742) = ( 2 x 742 ) / 742

= 2 / 742

= 2

Step3:

LCM(2, 700) = 700

GCD(2, 700) = ( 2 x 700 ) / 700

= 2 / 700

= 2

So, Greatest Common Divisor of 782, 818, 742, 700 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 252, 694, 334, 523
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• GCD of 176, 200, 124, 727
• GCD of 622, 974, 252, 910
• GCD of 627, 554, 399, 696

Given numbers are 782, 818, 742, 700
The greatest common divisor of numbers 782, 818, 742, 700 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 782, 818, 742, 700 is 2.

1. What is the GCD of 782, 818, 742, 700?

GCD of given numbers 782, 818, 742, 700 is 2

2. How to calculate the greatest common divisor of 782, 818, 742, 700?

We can find the highest common divisor of 782, 818, 742, 700 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 782, 818, 742, 700 i.e 2.

3. How can I use the GCD of 782, 818, 742, 700Calculator?

Out the numbers 782, 818, 742, 700 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.