GCD of 700, 778, 584, 420 Calculator

Given Input numbers are 700, 778, 584, 420

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 778 :

The positive integer divisors of 778 that completely divides 778 are.

1, 2, 389, 778

Divisors of 584 :

The positive integer divisors of 584 that completely divides 584 are.

1, 2, 4, 8, 73, 146, 292, 584

Divisors of 420 :

The positive integer divisors of 420 that completely divides 420 are.

1, 2, 3, 4, 5, 6, 7, 10, 12, 14, 15, 20, 21, 28, 30, 35, 42, 60, 70, 84, 105, 140, 210, 420

GCD of numbers is the greatest common divisor

So, the GCD (700, 778, 584, 420) = 2.

Given numbers are 700, 778, 584, 420

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 778 are 2 x 389

Prime factors of 584 are 2 x 2 x 2 x 73

Prime factors of 420 are 2 x 2 x 3 x 5 x 7

The highest common occurrence is 2¹

Therefore, GCD of 700, 778, 584, 420 is 2.

Given numbers are 700, 778, 584, 420

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

Apply this formula for all numbers.

Step1:

LCM(700, 778) = 272300

GCD(700, 778) = ( 700 x 778 ) / 272300

= 700 / 778

= 700

Step2:

LCM(2, 584) = 584

GCD(2, 584) = ( 2 x 584 ) / 584

= 2 / 584

= 2

Step3:

LCM(2, 420) = 420

GCD(2, 420) = ( 2 x 420 ) / 420

= 2 / 420

= 2

So, Greatest Common Divisor of 700, 778, 584, 420 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 861, 569, 139, 294
• GCD of 516, 837, 471, 261
• GCD of 428, 254, 626, 966
• GCD of 278, 576, 277, 576
• GCD of 420, 705, 416, 891

Given numbers are 700, 778, 584, 420
The greatest common divisor of numbers 700, 778, 584, 420 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 700, 778, 584, 420 is 2.

1. What is the GCD of 700, 778, 584, 420?

GCD of given numbers 700, 778, 584, 420 is 2

2. How to calculate the greatest common divisor of 700, 778, 584, 420?

We can find the highest common divisor of 700, 778, 584, 420 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, 778, 584, 420 i.e 2.

3. How can I use the GCD of 700, 778, 584, 420Calculator?

Out the numbers 700, 778, 584, 420 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.