GCD of 616, 700, 14, 574 Calculator

Given Input numbers are 616, 700, 14, 574

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

Divisors of 616 :

The positive integer divisors of 616 that completely divides 616 are.

1, 2, 4, 7, 8, 11, 14, 22, 28, 44, 56, 77, 88, 154, 308, 616

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 14 :

The positive integer divisors of 14 that completely divides 14 are.

1, 2, 7, 14

Divisors of 574 :

The positive integer divisors of 574 that completely divides 574 are.

1, 2, 7, 14, 41, 82, 287, 574

GCD of numbers is the greatest common divisor

So, the GCD (616, 700, 14, 574) = 14.

Given numbers are 616, 700, 14, 574

The list of prime factors of all numbers are

Prime factors of 616 are 2 x 2 x 2 x 7 x 11

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

Prime factors of 14 are 2 x 7

Prime factors of 574 are 2 x 7 x 41

The highest common occurrence is 2¹ x 7¹

Therefore, GCD of 616, 700, 14, 574 is 14.

Given numbers are 616, 700, 14, 574

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

Apply this formula for all numbers.

Step1:

LCM(616, 700) = 15400

GCD(616, 700) = ( 616 x 700 ) / 15400

= 616 / 700

= 616

Step2:

LCM(28, 14) = 28

GCD(28, 14) = ( 28 x 14 ) / 28

= 28 / 14

= 28

Step3:

LCM(14, 574) = 574

GCD(14, 574) = ( 14 x 574 ) / 574

= 14 / 574

= 14

So, Greatest Common Divisor of 616, 700, 14, 574 is 14

Here are some samples of GCD of Numbers calculations.

• GCD of 900, 644, 91, 915
• GCD of 371, 660, 63, 162
• GCD of 967, 885, 12, 998
• GCD of 704, 414, 25, 571
• GCD of 979, 775, 71, 893

Given numbers are 616, 700, 14, 574
The greatest common divisor of numbers 616, 700, 14, 574 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 616, 700, 14, 574 is 14.

1. What is the GCD of 616, 700, 14, 574?

GCD of given numbers 616, 700, 14, 574 is 14

2. How to calculate the greatest common divisor of 616, 700, 14, 574?

We can find the highest common divisor of 616, 700, 14, 574 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 616, 700, 14, 574 i.e 14.

3. How can I use the GCD of 616, 700, 14, 574Calculator?

Out the numbers 616, 700, 14, 574 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.