GCD of 698, 672, 174, 154 Calculator

Given Input numbers are 698, 672, 174, 154

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

Divisors of 698 :

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

1, 2, 349, 698

Divisors of 672 :

The positive integer divisors of 672 that completely divides 672 are.

1, 2, 3, 4, 6, 7, 8, 12, 14, 16, 21, 24, 28, 32, 42, 48, 56, 84, 96, 112, 168, 224, 336, 672

Divisors of 174 :

The positive integer divisors of 174 that completely divides 174 are.

1, 2, 3, 6, 29, 58, 87, 174

Divisors of 154 :

The positive integer divisors of 154 that completely divides 154 are.

1, 2, 7, 11, 14, 22, 77, 154

GCD of numbers is the greatest common divisor

So, the GCD (698, 672, 174, 154) = 2.

Given numbers are 698, 672, 174, 154

The list of prime factors of all numbers are

Prime factors of 698 are 2 x 349

Prime factors of 672 are 2 x 2 x 2 x 2 x 2 x 3 x 7

Prime factors of 174 are 2 x 3 x 29

Prime factors of 154 are 2 x 7 x 11

The highest common occurrence is 2¹

Therefore, GCD of 698, 672, 174, 154 is 2.

Given numbers are 698, 672, 174, 154

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

Apply this formula for all numbers.

Step1:

LCM(698, 672) = 234528

GCD(698, 672) = ( 698 x 672 ) / 234528

= 698 / 672

= 698

Step2:

LCM(2, 174) = 174

GCD(2, 174) = ( 2 x 174 ) / 174

= 2 / 174

= 2

Step3:

LCM(2, 154) = 154

GCD(2, 154) = ( 2 x 154 ) / 154

= 2 / 154

= 2

So, Greatest Common Divisor of 698, 672, 174, 154 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 294, 122, 230, 192
• GCD of 964, 243, 554, 308
• GCD of 378, 267, 911, 274
• GCD of 614, 541, 995, 599
• GCD of 802, 682, 886, 318

Given numbers are 698, 672, 174, 154
The greatest common divisor of numbers 698, 672, 174, 154 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 698, 672, 174, 154 is 2.

1. What is the GCD of 698, 672, 174, 154?

GCD of given numbers 698, 672, 174, 154 is 2

2. How to calculate the greatest common divisor of 698, 672, 174, 154?

We can find the highest common divisor of 698, 672, 174, 154 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 698, 672, 174, 154 i.e 2.

3. How can I use the GCD of 698, 672, 174, 154Calculator?

Out the numbers 698, 672, 174, 154 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.