GCD of 118, 674, 748, 898 Calculator

Given Input numbers are 118, 674, 748, 898

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

Divisors of 118 :

The positive integer divisors of 118 that completely divides 118 are.

1, 2, 59, 118

Divisors of 674 :

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

1, 2, 337, 674

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 898 :

The positive integer divisors of 898 that completely divides 898 are.

1, 2, 449, 898

GCD of numbers is the greatest common divisor

So, the GCD (118, 674, 748, 898) = 2.

Given numbers are 118, 674, 748, 898

The list of prime factors of all numbers are

Prime factors of 118 are 2 x 59

Prime factors of 674 are 2 x 337

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

Prime factors of 898 are 2 x 449

The highest common occurrence is 2¹

Therefore, GCD of 118, 674, 748, 898 is 2.

Given numbers are 118, 674, 748, 898

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

Apply this formula for all numbers.

Step1:

LCM(118, 674) = 39766

GCD(118, 674) = ( 118 x 674 ) / 39766

= 118 / 674

= 118

Step2:

LCM(2, 748) = 748

GCD(2, 748) = ( 2 x 748 ) / 748

= 2 / 748

= 2

Step3:

LCM(2, 898) = 898

GCD(2, 898) = ( 2 x 898 ) / 898

= 2 / 898

= 2

So, Greatest Common Divisor of 118, 674, 748, 898 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 941, 408, 152, 465
• GCD of 595, 557, 423, 594
• GCD of 798, 915, 678, 841
• GCD of 663, 904, 111, 659
• GCD of 657, 852, 685, 538

Given numbers are 118, 674, 748, 898
The greatest common divisor of numbers 118, 674, 748, 898 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 118, 674, 748, 898 is 2.

1. What is the GCD of 118, 674, 748, 898?

GCD of given numbers 118, 674, 748, 898 is 2

2. How to calculate the greatest common divisor of 118, 674, 748, 898?

We can find the highest common divisor of 118, 674, 748, 898 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 118, 674, 748, 898 i.e 2.

3. How can I use the GCD of 118, 674, 748, 898Calculator?

Out the numbers 118, 674, 748, 898 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.