GCD of 146, 528, 674, 698 Calculator

Given Input numbers are 146, 528, 674, 698

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

Divisors of 146 :

The positive integer divisors of 146 that completely divides 146 are.

1, 2, 73, 146

Divisors of 528 :

The positive integer divisors of 528 that completely divides 528 are.

1, 2, 3, 4, 6, 8, 11, 12, 16, 22, 24, 33, 44, 48, 66, 88, 132, 176, 264, 528

Divisors of 674 :

The positive integer divisors of 674 that completely divides 674 are.

1, 2, 337, 674

Divisors of 698 :

The positive integer divisors of 698 that completely divides 698 are.

1, 2, 349, 698

GCD of numbers is the greatest common divisor

So, the GCD (146, 528, 674, 698) = 2.

Given numbers are 146, 528, 674, 698

The list of prime factors of all numbers are

Prime factors of 146 are 2 x 73

Prime factors of 528 are 2 x 2 x 2 x 2 x 3 x 11

Prime factors of 674 are 2 x 337

Prime factors of 698 are 2 x 349

The highest common occurrence is 2¹

Therefore, GCD of 146, 528, 674, 698 is 2.

Given numbers are 146, 528, 674, 698

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

Apply this formula for all numbers.

Step1:

LCM(146, 528) = 38544

GCD(146, 528) = ( 146 x 528 ) / 38544

= 146 / 528

= 146

Step2:

LCM(2, 674) = 674

GCD(2, 674) = ( 2 x 674 ) / 674

= 2 / 674

= 2

Step3:

LCM(2, 698) = 698

GCD(2, 698) = ( 2 x 698 ) / 698

= 2 / 698

= 2

So, Greatest Common Divisor of 146, 528, 674, 698 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 142, 266, 959, 631
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Given numbers are 146, 528, 674, 698
The greatest common divisor of numbers 146, 528, 674, 698 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 146, 528, 674, 698 is 2.

1. What is the GCD of 146, 528, 674, 698?

GCD of given numbers 146, 528, 674, 698 is 2

2. How to calculate the greatest common divisor of 146, 528, 674, 698?

We can find the highest common divisor of 146, 528, 674, 698 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 146, 528, 674, 698 i.e 2.

3. How can I use the GCD of 146, 528, 674, 698Calculator?

Out the numbers 146, 528, 674, 698 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.