GCD of 702, 414, 826, 948 Calculator

Given Input numbers are 702, 414, 826, 948

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

Divisors of 702 :

The positive integer divisors of 702 that completely divides 702 are.

1, 2, 3, 6, 9, 13, 18, 26, 27, 39, 54, 78, 117, 234, 351, 702

Divisors of 414 :

The positive integer divisors of 414 that completely divides 414 are.

1, 2, 3, 6, 9, 18, 23, 46, 69, 138, 207, 414

Divisors of 826 :

The positive integer divisors of 826 that completely divides 826 are.

1, 2, 7, 14, 59, 118, 413, 826

Divisors of 948 :

The positive integer divisors of 948 that completely divides 948 are.

1, 2, 3, 4, 6, 12, 79, 158, 237, 316, 474, 948

GCD of numbers is the greatest common divisor

So, the GCD (702, 414, 826, 948) = 2.

Given numbers are 702, 414, 826, 948

The list of prime factors of all numbers are

Prime factors of 702 are 2 x 3 x 3 x 3 x 13

Prime factors of 414 are 2 x 3 x 3 x 23

Prime factors of 826 are 2 x 7 x 59

Prime factors of 948 are 2 x 2 x 3 x 79

The highest common occurrence is 2¹

Therefore, GCD of 702, 414, 826, 948 is 2.

Given numbers are 702, 414, 826, 948

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

Apply this formula for all numbers.

Step1:

LCM(702, 414) = 16146

GCD(702, 414) = ( 702 x 414 ) / 16146

= 702 / 414

= 702

Step2:

LCM(18, 826) = 7434

GCD(18, 826) = ( 18 x 826 ) / 7434

= 18 / 826

= 18

Step3:

LCM(2, 948) = 948

GCD(2, 948) = ( 2 x 948 ) / 948

= 2 / 948

= 2

So, Greatest Common Divisor of 702, 414, 826, 948 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 262, 669, 670, 184
• GCD of 322, 601, 923, 958
• GCD of 105, 621, 184, 266
• GCD of 548, 347, 254, 783
• GCD of 631, 536, 171, 810

Given numbers are 702, 414, 826, 948
The greatest common divisor of numbers 702, 414, 826, 948 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 702, 414, 826, 948 is 2.

1. What is the GCD of 702, 414, 826, 948?

GCD of given numbers 702, 414, 826, 948 is 2

2. How to calculate the greatest common divisor of 702, 414, 826, 948?

We can find the highest common divisor of 702, 414, 826, 948 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 702, 414, 826, 948 i.e 2.

3. How can I use the GCD of 702, 414, 826, 948Calculator?

Out the numbers 702, 414, 826, 948 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.