Highest Common Factor of 8344, 4579 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, 4579 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 8344, 4579 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, 4579 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, 4579 is 1.
HCF(8344, 4579) = 1
HCF of 8344, 4579 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, 4579 is 1.
Highest Common Factor of 8344,4579 is 1
Step 1: Since 8344 > 4579, we apply the division lemma to 8344 and 4579, to get
8344 = 4579 x 1 + 3765
Step 2: Since the reminder 4579 ≠ 0, we apply division lemma to 3765 and 4579, to get
4579 = 3765 x 1 + 814
Step 3: We consider the new divisor 3765 and the new remainder 814, and apply the division lemma to get
3765 = 814 x 4 + 509
We consider the new divisor 814 and the new remainder 509,and apply the division lemma to get
814 = 509 x 1 + 305
We consider the new divisor 509 and the new remainder 305,and apply the division lemma to get
509 = 305 x 1 + 204
We consider the new divisor 305 and the new remainder 204,and apply the division lemma to get
305 = 204 x 1 + 101
We consider the new divisor 204 and the new remainder 101,and apply the division lemma to get
204 = 101 x 2 + 2
We consider the new divisor 101 and the new remainder 2,and apply the division lemma to get
101 = 2 x 50 + 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 8344 and 4579 is 1
Notice that 1 = HCF(2,1) = HCF(101,2) = HCF(204,101) = HCF(305,204) = HCF(509,305) = HCF(814,509) = HCF(3765,814) = HCF(4579,3765) = HCF(8344,4579) .
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Frequently Asked Questions on HCF of 8344, 4579 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, 4579?
Answer: HCF of 8344, 4579 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 8344, 4579 using Euclid's Algorithm?
Answer: For arbitrary numbers 8344, 4579 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.