GCD of 700, 378, 518, 840 Calculator

Given Input numbers are 700, 378, 518, 840

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 378 :

The positive integer divisors of 378 that completely divides 378 are.

1, 2, 3, 6, 7, 9, 14, 18, 21, 27, 42, 54, 63, 126, 189, 378

Divisors of 518 :

The positive integer divisors of 518 that completely divides 518 are.

1, 2, 7, 14, 37, 74, 259, 518

Divisors of 840 :

The positive integer divisors of 840 that completely divides 840 are.

1, 2, 3, 4, 5, 6, 7, 8, 10, 12, 14, 15, 20, 21, 24, 28, 30, 35, 40, 42, 56, 60, 70, 84, 105, 120, 140, 168, 210, 280, 420, 840

GCD of numbers is the greatest common divisor

So, the GCD (700, 378, 518, 840) = 14.

Given numbers are 700, 378, 518, 840

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 378 are 2 x 3 x 3 x 3 x 7

Prime factors of 518 are 2 x 7 x 37

Prime factors of 840 are 2 x 2 x 2 x 3 x 5 x 7

The highest common occurrence is 2¹ x 7¹

Therefore, GCD of 700, 378, 518, 840 is 14.

Given numbers are 700, 378, 518, 840

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

Apply this formula for all numbers.

Step1:

LCM(700, 378) = 18900

GCD(700, 378) = ( 700 x 378 ) / 18900

= 700 / 378

= 700

Step2:

LCM(14, 518) = 518

GCD(14, 518) = ( 14 x 518 ) / 518

= 14 / 518

= 14

Step3:

LCM(14, 840) = 840

GCD(14, 840) = ( 14 x 840 ) / 840

= 14 / 840

= 14

So, Greatest Common Divisor of 700, 378, 518, 840 is 14

Here are some samples of GCD of Numbers calculations.

• GCD of 687, 247, 710, 642
• GCD of 617, 718, 315, 327
• GCD of 448, 315, 714, 660
• GCD of 452, 194, 591, 922
• GCD of 419, 230, 484, 681

Given numbers are 700, 378, 518, 840
The greatest common divisor of numbers 700, 378, 518, 840 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 700, 378, 518, 840 is 14.

1. What is the GCD of 700, 378, 518, 840?

GCD of given numbers 700, 378, 518, 840 is 14

2. How to calculate the greatest common divisor of 700, 378, 518, 840?

We can find the highest common divisor of 700, 378, 518, 840 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, 378, 518, 840 i.e 14.

3. How can I use the GCD of 700, 378, 518, 840Calculator?

Out the numbers 700, 378, 518, 840 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.