Highest Common Factor of 3443, 8635 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 3443, 8635 i.e. 11 the largest integer that leaves a remainder zero for all numbers.
HCF of 3443, 8635 is 11 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 3443, 8635 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 3443, 8635 is 11.
HCF(3443, 8635) = 11
HCF of 3443, 8635 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 3443, 8635 is 11.
Highest Common Factor of 3443,8635 is 11
Step 1: Since 8635 > 3443, we apply the division lemma to 8635 and 3443, to get
8635 = 3443 x 2 + 1749
Step 2: Since the reminder 3443 ≠ 0, we apply division lemma to 1749 and 3443, to get
3443 = 1749 x 1 + 1694
Step 3: We consider the new divisor 1749 and the new remainder 1694, and apply the division lemma to get
1749 = 1694 x 1 + 55
We consider the new divisor 1694 and the new remainder 55,and apply the division lemma to get
1694 = 55 x 30 + 44
We consider the new divisor 55 and the new remainder 44,and apply the division lemma to get
55 = 44 x 1 + 11
We consider the new divisor 44 and the new remainder 11,and apply the division lemma to get
44 = 11 x 4 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 11, the HCF of 3443 and 8635 is 11
Notice that 11 = HCF(44,11) = HCF(55,44) = HCF(1694,55) = HCF(1749,1694) = HCF(3443,1749) = HCF(8635,3443) .
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Frequently Asked Questions on HCF of 3443, 8635 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 3443, 8635?
Answer: HCF of 3443, 8635 is 11 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 3443, 8635 using Euclid's Algorithm?
Answer: For arbitrary numbers 3443, 8635 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.