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 999, 632 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 999, 632 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 999, 632 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 999, 632 is 1.
HCF(999, 632) = 1
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 999, 632 is 1.
Step 1: Since 999 > 632, we apply the division lemma to 999 and 632, to get
999 = 632 x 1 + 367
Step 2: Since the reminder 632 ≠ 0, we apply division lemma to 367 and 632, to get
632 = 367 x 1 + 265
Step 3: We consider the new divisor 367 and the new remainder 265, and apply the division lemma to get
367 = 265 x 1 + 102
We consider the new divisor 265 and the new remainder 102,and apply the division lemma to get
265 = 102 x 2 + 61
We consider the new divisor 102 and the new remainder 61,and apply the division lemma to get
102 = 61 x 1 + 41
We consider the new divisor 61 and the new remainder 41,and apply the division lemma to get
61 = 41 x 1 + 20
We consider the new divisor 41 and the new remainder 20,and apply the division lemma to get
41 = 20 x 2 + 1
We consider the new divisor 20 and the new remainder 1,and apply the division lemma to get
20 = 1 x 20 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 999 and 632 is 1
Notice that 1 = HCF(20,1) = HCF(41,20) = HCF(61,41) = HCF(102,61) = HCF(265,102) = HCF(367,265) = HCF(632,367) = HCF(999,632) .
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 999, 632?
Answer: HCF of 999, 632 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 999, 632 using Euclid's Algorithm?
Answer: For arbitrary numbers 999, 632 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.