Highest Common Factor of 823, 84622 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 823, 84622 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 823, 84622 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 823, 84622 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 823, 84622 is 1.
HCF(823, 84622) = 1
HCF of 823, 84622 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 823, 84622 is 1.
Highest Common Factor of 823,84622 is 1
Step 1: Since 84622 > 823, we apply the division lemma to 84622 and 823, to get
84622 = 823 x 102 + 676
Step 2: Since the reminder 823 ≠ 0, we apply division lemma to 676 and 823, to get
823 = 676 x 1 + 147
Step 3: We consider the new divisor 676 and the new remainder 147, and apply the division lemma to get
676 = 147 x 4 + 88
We consider the new divisor 147 and the new remainder 88,and apply the division lemma to get
147 = 88 x 1 + 59
We consider the new divisor 88 and the new remainder 59,and apply the division lemma to get
88 = 59 x 1 + 29
We consider the new divisor 59 and the new remainder 29,and apply the division lemma to get
59 = 29 x 2 + 1
We consider the new divisor 29 and the new remainder 1,and apply the division lemma to get
29 = 1 x 29 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 823 and 84622 is 1
Notice that 1 = HCF(29,1) = HCF(59,29) = HCF(88,59) = HCF(147,88) = HCF(676,147) = HCF(823,676) = HCF(84622,823) .
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Frequently Asked Questions on HCF of 823, 84622 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 823, 84622?
Answer: HCF of 823, 84622 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 823, 84622 using Euclid's Algorithm?
Answer: For arbitrary numbers 823, 84622 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.