GCD of 700, 352, 752, 784 Calculator

Given Input numbers are 700, 352, 752, 784

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 352 :

The positive integer divisors of 352 that completely divides 352 are.

1, 2, 4, 8, 11, 16, 22, 32, 44, 88, 176, 352

Divisors of 752 :

The positive integer divisors of 752 that completely divides 752 are.

1, 2, 4, 8, 16, 47, 94, 188, 376, 752

Divisors of 784 :

The positive integer divisors of 784 that completely divides 784 are.

1, 2, 4, 7, 8, 14, 16, 28, 49, 56, 98, 112, 196, 392, 784

GCD of numbers is the greatest common divisor

So, the GCD (700, 352, 752, 784) = 4.

Given numbers are 700, 352, 752, 784

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 352 are 2 x 2 x 2 x 2 x 2 x 11

Prime factors of 752 are 2 x 2 x 2 x 2 x 47

Prime factors of 784 are 2 x 2 x 2 x 2 x 7 x 7

The highest common occurrence is 2²

Therefore, GCD of 700, 352, 752, 784 is 4.

Given numbers are 700, 352, 752, 784

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

Apply this formula for all numbers.

Step1:

LCM(700, 352) = 61600

GCD(700, 352) = ( 700 x 352 ) / 61600

= 700 / 352

= 700

Step2:

LCM(4, 752) = 752

GCD(4, 752) = ( 4 x 752 ) / 752

= 4 / 752

= 4

Step3:

LCM(4, 784) = 784

GCD(4, 784) = ( 4 x 784 ) / 784

= 4 / 784

= 4

So, Greatest Common Divisor of 700, 352, 752, 784 is 4

Here are some samples of GCD of Numbers calculations.

• GCD of 634, 946, 998, 971
• GCD of 895, 194, 510, 471
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• GCD of 277, 550, 755, 565
• GCD of 972, 427, 307, 744

Given numbers are 700, 352, 752, 784
The greatest common divisor of numbers 700, 352, 752, 784 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 700, 352, 752, 784 is 4.

1. What is the GCD of 700, 352, 752, 784?

GCD of given numbers 700, 352, 752, 784 is 4

2. How to calculate the greatest common divisor of 700, 352, 752, 784?

We can find the highest common divisor of 700, 352, 752, 784 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, 352, 752, 784 i.e 4.

3. How can I use the GCD of 700, 352, 752, 784Calculator?

Out the numbers 700, 352, 752, 784 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.