GCD of 700, 734, 962, 676 Calculator

Given Input numbers are 700, 734, 962, 676

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 734 :

The positive integer divisors of 734 that completely divides 734 are.

1, 2, 367, 734

Divisors of 962 :

The positive integer divisors of 962 that completely divides 962 are.

1, 2, 13, 26, 37, 74, 481, 962

Divisors of 676 :

The positive integer divisors of 676 that completely divides 676 are.

1, 2, 4, 13, 26, 52, 169, 338, 676

GCD of numbers is the greatest common divisor

So, the GCD (700, 734, 962, 676) = 2.

Given numbers are 700, 734, 962, 676

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 734 are 2 x 367

Prime factors of 962 are 2 x 13 x 37

Prime factors of 676 are 2 x 2 x 13 x 13

The highest common occurrence is 2¹

Therefore, GCD of 700, 734, 962, 676 is 2.

Given numbers are 700, 734, 962, 676

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

Apply this formula for all numbers.

Step1:

LCM(700, 734) = 256900

GCD(700, 734) = ( 700 x 734 ) / 256900

= 700 / 734

= 700

Step2:

LCM(2, 962) = 962

GCD(2, 962) = ( 2 x 962 ) / 962

= 2 / 962

= 2

Step3:

LCM(2, 676) = 676

GCD(2, 676) = ( 2 x 676 ) / 676

= 2 / 676

= 2

So, Greatest Common Divisor of 700, 734, 962, 676 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 856, 853, 929, 720
• GCD of 190, 397, 867, 708
• GCD of 975, 343, 765, 150
• GCD of 653, 805, 810, 570
• GCD of 472, 684, 691, 259

Given numbers are 700, 734, 962, 676
The greatest common divisor of numbers 700, 734, 962, 676 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 700, 734, 962, 676 is 2.

1. What is the GCD of 700, 734, 962, 676?

GCD of given numbers 700, 734, 962, 676 is 2

2. How to calculate the greatest common divisor of 700, 734, 962, 676?

We can find the highest common divisor of 700, 734, 962, 676 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, 734, 962, 676 i.e 2.

3. How can I use the GCD of 700, 734, 962, 676Calculator?

Out the numbers 700, 734, 962, 676 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.