Highest Common Factor of 8102, 3443 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 8102, 3443 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 8102, 3443 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 8102, 3443 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 8102, 3443 is 1.
HCF(8102, 3443) = 1
HCF of 8102, 3443 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 8102, 3443 is 1.
Highest Common Factor of 8102,3443 is 1
Step 1: Since 8102 > 3443, we apply the division lemma to 8102 and 3443, to get
8102 = 3443 x 2 + 1216
Step 2: Since the reminder 3443 ≠ 0, we apply division lemma to 1216 and 3443, to get
3443 = 1216 x 2 + 1011
Step 3: We consider the new divisor 1216 and the new remainder 1011, and apply the division lemma to get
1216 = 1011 x 1 + 205
We consider the new divisor 1011 and the new remainder 205,and apply the division lemma to get
1011 = 205 x 4 + 191
We consider the new divisor 205 and the new remainder 191,and apply the division lemma to get
205 = 191 x 1 + 14
We consider the new divisor 191 and the new remainder 14,and apply the division lemma to get
191 = 14 x 13 + 9
We consider the new divisor 14 and the new remainder 9,and apply the division lemma to get
14 = 9 x 1 + 5
We consider the new divisor 9 and the new remainder 5,and apply the division lemma to get
9 = 5 x 1 + 4
We consider the new divisor 5 and the new remainder 4,and apply the division lemma to get
5 = 4 x 1 + 1
We consider the new divisor 4 and the new remainder 1,and apply the division lemma to get
4 = 1 x 4 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 8102 and 3443 is 1
Notice that 1 = HCF(4,1) = HCF(5,4) = HCF(9,5) = HCF(14,9) = HCF(191,14) = HCF(205,191) = HCF(1011,205) = HCF(1216,1011) = HCF(3443,1216) = HCF(8102,3443) .
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Frequently Asked Questions on HCF of 8102, 3443 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 8102, 3443?
Answer: HCF of 8102, 3443 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 8102, 3443 using Euclid's Algorithm?
Answer: For arbitrary numbers 8102, 3443 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.