Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
HCF Calculator using the Euclid Division Algorithm helps you to find the Highest common factor (HCF) easily for 993, 598 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 993, 598 is 1 the largest number which exactly divides all the numbers i.e. where the remainder is zero. Let us get into the working of this example.
Consider we have numbers 993, 598 and we need to find the HCF of these numbers. To do so, we need to choose the largest integer first and then as per Euclid's Division Lemma a = bq + r where 0 ≤ r ≤ b
Highest common factor (HCF) of 993, 598 is 1.
HCF(993, 598) = 1
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 993, 598 is 1.
Step 1: Since 993 > 598, we apply the division lemma to 993 and 598, to get
993 = 598 x 1 + 395
Step 2: Since the reminder 598 ≠ 0, we apply division lemma to 395 and 598, to get
598 = 395 x 1 + 203
Step 3: We consider the new divisor 395 and the new remainder 203, and apply the division lemma to get
395 = 203 x 1 + 192
We consider the new divisor 203 and the new remainder 192,and apply the division lemma to get
203 = 192 x 1 + 11
We consider the new divisor 192 and the new remainder 11,and apply the division lemma to get
192 = 11 x 17 + 5
We consider the new divisor 11 and the new remainder 5,and apply the division lemma to get
11 = 5 x 2 + 1
We consider the new divisor 5 and the new remainder 1,and apply the division lemma to get
5 = 1 x 5 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 993 and 598 is 1
Notice that 1 = HCF(5,1) = HCF(11,5) = HCF(192,11) = HCF(203,192) = HCF(395,203) = HCF(598,395) = HCF(993,598) .
Here are some samples of HCF using Euclid's Algorithm calculations.
1. What is the Euclid division algorithm?
Answer: Euclid's Division Algorithm is a technique to compute the Highest Common Factor (HCF) of given positive integers.
2. what is the HCF of 993, 598?
Answer: HCF of 993, 598 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 993, 598 using Euclid's Algorithm?
Answer: For arbitrary numbers 993, 598 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.