GCD of 698, 496, 952, 742 Calculator

Given Input numbers are 698, 496, 952, 742

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 496 :

The positive integer divisors of 496 that completely divides 496 are.

1, 2, 4, 8, 16, 31, 62, 124, 248, 496

Divisors of 952 :

The positive integer divisors of 952 that completely divides 952 are.

1, 2, 4, 7, 8, 14, 17, 28, 34, 56, 68, 119, 136, 238, 476, 952

Divisors of 742 :

The positive integer divisors of 742 that completely divides 742 are.

1, 2, 7, 14, 53, 106, 371, 742

GCD of numbers is the greatest common divisor

So, the GCD (698, 496, 952, 742) = 2.

Given numbers are 698, 496, 952, 742

The list of prime factors of all numbers are

Prime factors of 698 are 2 x 349

Prime factors of 496 are 2 x 2 x 2 x 2 x 31

Prime factors of 952 are 2 x 2 x 2 x 7 x 17

Prime factors of 742 are 2 x 7 x 53

The highest common occurrence is 2¹

Therefore, GCD of 698, 496, 952, 742 is 2.

Given numbers are 698, 496, 952, 742

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

Apply this formula for all numbers.

Step1:

LCM(698, 496) = 173104

GCD(698, 496) = ( 698 x 496 ) / 173104

= 698 / 496

= 698

Step2:

LCM(2, 952) = 952

GCD(2, 952) = ( 2 x 952 ) / 952

= 2 / 952

= 2

Step3:

LCM(2, 742) = 742

GCD(2, 742) = ( 2 x 742 ) / 742

= 2 / 742

= 2

So, Greatest Common Divisor of 698, 496, 952, 742 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 824, 257, 438, 546
• GCD of 155, 181, 822, 841
• GCD of 591, 998, 660, 232
• GCD of 680, 839, 146, 185
• GCD of 783, 218, 547, 450

Given numbers are 698, 496, 952, 742
The greatest common divisor of numbers 698, 496, 952, 742 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 698, 496, 952, 742 is 2.

1. What is the GCD of 698, 496, 952, 742?

GCD of given numbers 698, 496, 952, 742 is 2

2. How to calculate the greatest common divisor of 698, 496, 952, 742?

We can find the highest common divisor of 698, 496, 952, 742 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, 496, 952, 742 i.e 2.

3. How can I use the GCD of 698, 496, 952, 742Calculator?

Out the numbers 698, 496, 952, 742 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.