Question - Finding the Greatest Common Divisor (GCD)
Solution:
To find the greatest common divisor (GCD) or "faktor sepunya terbesar (FSTB)" as indicated in the question for a set of numbers, we need to find the largest number that divides each of the numbers without leaving a remainder.In the image, it looks like you're interested in solving option (e) which lists the numbers 42, 105, and 126. Let's find the GCD of these numbers:The prime factors for each number are:- 42 = 2 × 3 × 7- 105 = 3 × 5 × 7- 126 = 2 × 3^2 × 7The GCD is the product of the lowest powers of common primes among these numbers. In this case, the common prime factors are 3 and 7.So, we take the lowest power of 3 that is common to all, which is 3^1 (since 3^2 is not a factor of 42 and 105), and the lowest power of 7, which is 7^1.Now multiply these together to find the GCD:3^1 × 7^1 = 3 × 7 = 21So, the greatest common divisor of 42, 105, and 126 is 21.
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