GCD of 746, 130, 702, 224 Calculator

Given Input numbers are 746, 130, 702, 224

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

Divisors of 746 :

The positive integer divisors of 746 that completely divides 746 are.

1, 2, 373, 746

Divisors of 130 :

The positive integer divisors of 130 that completely divides 130 are.

1, 2, 5, 10, 13, 26, 65, 130

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 224 :

The positive integer divisors of 224 that completely divides 224 are.

1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 112, 224

GCD of numbers is the greatest common divisor

So, the GCD (746, 130, 702, 224) = 2.

Given numbers are 746, 130, 702, 224

The list of prime factors of all numbers are

Prime factors of 746 are 2 x 373

Prime factors of 130 are 2 x 5 x 13

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

Prime factors of 224 are 2 x 2 x 2 x 2 x 2 x 7

The highest common occurrence is 2¹

Therefore, GCD of 746, 130, 702, 224 is 2.

Given numbers are 746, 130, 702, 224

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

Apply this formula for all numbers.

Step1:

LCM(746, 130) = 48490

GCD(746, 130) = ( 746 x 130 ) / 48490

= 746 / 130

= 746

Step2:

LCM(2, 702) = 702

GCD(2, 702) = ( 2 x 702 ) / 702

= 2 / 702

= 2

Step3:

LCM(2, 224) = 224

GCD(2, 224) = ( 2 x 224 ) / 224

= 2 / 224

= 2

So, Greatest Common Divisor of 746, 130, 702, 224 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 859, 310, 529, 973
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• GCD of 292, 558, 575, 750
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• GCD of 483, 660, 342, 492

Given numbers are 746, 130, 702, 224
The greatest common divisor of numbers 746, 130, 702, 224 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 746, 130, 702, 224 is 2.

1. What is the GCD of 746, 130, 702, 224?

GCD of given numbers 746, 130, 702, 224 is 2

2. How to calculate the greatest common divisor of 746, 130, 702, 224?

We can find the highest common divisor of 746, 130, 702, 224 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 746, 130, 702, 224 i.e 2.

3. How can I use the GCD of 746, 130, 702, 224Calculator?

Out the numbers 746, 130, 702, 224 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.