Highest Common Factor of 8344, 3623 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 8344, 3623 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 8344, 3623 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 8344, 3623 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 8344, 3623 is 1.
HCF(8344, 3623) = 1
HCF of 8344, 3623 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 8344, 3623 is 1.
Highest Common Factor of 8344,3623 is 1
Step 1: Since 8344 > 3623, we apply the division lemma to 8344 and 3623, to get
8344 = 3623 x 2 + 1098
Step 2: Since the reminder 3623 ≠ 0, we apply division lemma to 1098 and 3623, to get
3623 = 1098 x 3 + 329
Step 3: We consider the new divisor 1098 and the new remainder 329, and apply the division lemma to get
1098 = 329 x 3 + 111
We consider the new divisor 329 and the new remainder 111,and apply the division lemma to get
329 = 111 x 2 + 107
We consider the new divisor 111 and the new remainder 107,and apply the division lemma to get
111 = 107 x 1 + 4
We consider the new divisor 107 and the new remainder 4,and apply the division lemma to get
107 = 4 x 26 + 3
We consider the new divisor 4 and the new remainder 3,and apply the division lemma to get
4 = 3 x 1 + 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 8344 and 3623 is 1
Notice that 1 = HCF(3,1) = HCF(4,3) = HCF(107,4) = HCF(111,107) = HCF(329,111) = HCF(1098,329) = HCF(3623,1098) = HCF(8344,3623) .
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Frequently Asked Questions on HCF of 8344, 3623 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 8344, 3623?
Answer: HCF of 8344, 3623 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 8344, 3623 using Euclid's Algorithm?
Answer: For arbitrary numbers 8344, 3623 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.