Highest Common Factor of 8179, 5806 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 8179, 5806 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 8179, 5806 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 8179, 5806 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 8179, 5806 is 1.
HCF(8179, 5806) = 1
HCF of 8179, 5806 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 8179, 5806 is 1.
Highest Common Factor of 8179,5806 is 1
Step 1: Since 8179 > 5806, we apply the division lemma to 8179 and 5806, to get
8179 = 5806 x 1 + 2373
Step 2: Since the reminder 5806 ≠ 0, we apply division lemma to 2373 and 5806, to get
5806 = 2373 x 2 + 1060
Step 3: We consider the new divisor 2373 and the new remainder 1060, and apply the division lemma to get
2373 = 1060 x 2 + 253
We consider the new divisor 1060 and the new remainder 253,and apply the division lemma to get
1060 = 253 x 4 + 48
We consider the new divisor 253 and the new remainder 48,and apply the division lemma to get
253 = 48 x 5 + 13
We consider the new divisor 48 and the new remainder 13,and apply the division lemma to get
48 = 13 x 3 + 9
We consider the new divisor 13 and the new remainder 9,and apply the division lemma to get
13 = 9 x 1 + 4
We consider the new divisor 9 and the new remainder 4,and apply the division lemma to get
9 = 4 x 2 + 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 8179 and 5806 is 1
Notice that 1 = HCF(4,1) = HCF(9,4) = HCF(13,9) = HCF(48,13) = HCF(253,48) = HCF(1060,253) = HCF(2373,1060) = HCF(5806,2373) = HCF(8179,5806) .
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Frequently Asked Questions on HCF of 8179, 5806 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 8179, 5806?
Answer: HCF of 8179, 5806 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 8179, 5806 using Euclid's Algorithm?
Answer: For arbitrary numbers 8179, 5806 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.
