Highest Common Factor of 826, 5633 using Euclid's algorithm
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 826, 5633 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 826, 5633 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 826, 5633 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 826, 5633 is 1.
HCF(826, 5633) = 1
HCF of 826, 5633 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 826, 5633 is 1.
Highest Common Factor of 826,5633 is 1
Step 1: Since 5633 > 826, we apply the division lemma to 5633 and 826, to get
5633 = 826 x 6 + 677
Step 2: Since the reminder 826 ≠ 0, we apply division lemma to 677 and 826, to get
826 = 677 x 1 + 149
Step 3: We consider the new divisor 677 and the new remainder 149, and apply the division lemma to get
677 = 149 x 4 + 81
We consider the new divisor 149 and the new remainder 81,and apply the division lemma to get
149 = 81 x 1 + 68
We consider the new divisor 81 and the new remainder 68,and apply the division lemma to get
81 = 68 x 1 + 13
We consider the new divisor 68 and the new remainder 13,and apply the division lemma to get
68 = 13 x 5 + 3
We consider the new divisor 13 and the new remainder 3,and apply the division lemma to get
13 = 3 x 4 + 1
We consider the new divisor 3 and the new remainder 1,and apply the division lemma to get
3 = 1 x 3 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 826 and 5633 is 1
Notice that 1 = HCF(3,1) = HCF(13,3) = HCF(68,13) = HCF(81,68) = HCF(149,81) = HCF(677,149) = HCF(826,677) = HCF(5633,826) .
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Frequently Asked Questions on HCF of 826, 5633 using Euclid's Algorithm
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 826, 5633?
Answer: HCF of 826, 5633 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 826, 5633 using Euclid's Algorithm?
Answer: For arbitrary numbers 826, 5633 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.