Highest Common Factor of 838, 2823 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 838, 2823 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 838, 2823 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 838, 2823 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 838, 2823 is 1.
HCF(838, 2823) = 1
HCF of 838, 2823 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 838, 2823 is 1.
Highest Common Factor of 838,2823 is 1
Step 1: Since 2823 > 838, we apply the division lemma to 2823 and 838, to get
2823 = 838 x 3 + 309
Step 2: Since the reminder 838 ≠ 0, we apply division lemma to 309 and 838, to get
838 = 309 x 2 + 220
Step 3: We consider the new divisor 309 and the new remainder 220, and apply the division lemma to get
309 = 220 x 1 + 89
We consider the new divisor 220 and the new remainder 89,and apply the division lemma to get
220 = 89 x 2 + 42
We consider the new divisor 89 and the new remainder 42,and apply the division lemma to get
89 = 42 x 2 + 5
We consider the new divisor 42 and the new remainder 5,and apply the division lemma to get
42 = 5 x 8 + 2
We consider the new divisor 5 and the new remainder 2,and apply the division lemma to get
5 = 2 x 2 + 1
We consider the new divisor 2 and the new remainder 1,and apply the division lemma to get
2 = 1 x 2 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 838 and 2823 is 1
Notice that 1 = HCF(2,1) = HCF(5,2) = HCF(42,5) = HCF(89,42) = HCF(220,89) = HCF(309,220) = HCF(838,309) = HCF(2823,838) .
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Frequently Asked Questions on HCF of 838, 2823 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 838, 2823?
Answer: HCF of 838, 2823 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 838, 2823 using Euclid's Algorithm?
Answer: For arbitrary numbers 838, 2823 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.
