GCD of 352, 748, 892, 702 Calculator

Given Input numbers are 352, 748, 892, 702

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

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 748 :

The positive integer divisors of 748 that completely divides 748 are.

1, 2, 4, 11, 17, 22, 34, 44, 68, 187, 374, 748

Divisors of 892 :

The positive integer divisors of 892 that completely divides 892 are.

1, 2, 4, 223, 446, 892

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

GCD of numbers is the greatest common divisor

So, the GCD (352, 748, 892, 702) = 2.

Given numbers are 352, 748, 892, 702

The list of prime factors of all numbers are

Prime factors of 352 are 2 x 2 x 2 x 2 x 2 x 11

Prime factors of 748 are 2 x 2 x 11 x 17

Prime factors of 892 are 2 x 2 x 223

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

The highest common occurrence is 2¹

Therefore, GCD of 352, 748, 892, 702 is 2.

Given numbers are 352, 748, 892, 702

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

Apply this formula for all numbers.

Step1:

LCM(352, 748) = 5984

GCD(352, 748) = ( 352 x 748 ) / 5984

= 352 / 748

= 352

Step2:

LCM(44, 892) = 9812

GCD(44, 892) = ( 44 x 892 ) / 9812

= 44 / 892

= 44

Step3:

LCM(4, 702) = 1404

GCD(4, 702) = ( 4 x 702 ) / 1404

= 4 / 702

= 4

So, Greatest Common Divisor of 352, 748, 892, 702 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 430, 858, 917, 482
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Given numbers are 352, 748, 892, 702
The greatest common divisor of numbers 352, 748, 892, 702 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 352, 748, 892, 702 is 2.

1. What is the GCD of 352, 748, 892, 702?

GCD of given numbers 352, 748, 892, 702 is 2

2. How to calculate the greatest common divisor of 352, 748, 892, 702?

We can find the highest common divisor of 352, 748, 892, 702 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 352, 748, 892, 702 i.e 2.

3. How can I use the GCD of 352, 748, 892, 702Calculator?

Out the numbers 352, 748, 892, 702 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.