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 8821, 1636 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 8821, 1636 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 8821, 1636 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 8821, 1636 is 1.
HCF(8821, 1636) = 1
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 8821, 1636 is 1.
Step 1: Since 8821 > 1636, we apply the division lemma to 8821 and 1636, to get
8821 = 1636 x 5 + 641
Step 2: Since the reminder 1636 ≠ 0, we apply division lemma to 641 and 1636, to get
1636 = 641 x 2 + 354
Step 3: We consider the new divisor 641 and the new remainder 354, and apply the division lemma to get
641 = 354 x 1 + 287
We consider the new divisor 354 and the new remainder 287,and apply the division lemma to get
354 = 287 x 1 + 67
We consider the new divisor 287 and the new remainder 67,and apply the division lemma to get
287 = 67 x 4 + 19
We consider the new divisor 67 and the new remainder 19,and apply the division lemma to get
67 = 19 x 3 + 10
We consider the new divisor 19 and the new remainder 10,and apply the division lemma to get
19 = 10 x 1 + 9
We consider the new divisor 10 and the new remainder 9,and apply the division lemma to get
10 = 9 x 1 + 1
We consider the new divisor 9 and the new remainder 1,and apply the division lemma to get
9 = 1 x 9 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 8821 and 1636 is 1
Notice that 1 = HCF(9,1) = HCF(10,9) = HCF(19,10) = HCF(67,19) = HCF(287,67) = HCF(354,287) = HCF(641,354) = HCF(1636,641) = HCF(8821,1636) .
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 8821, 1636?
Answer: HCF of 8821, 1636 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 8821, 1636 using Euclid's Algorithm?
Answer: For arbitrary numbers 8821, 1636 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.