Highest Common Factor of 6493, 8006 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 6493, 8006 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 6493, 8006 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 6493, 8006 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 6493, 8006 is 1.
HCF(6493, 8006) = 1
HCF of 6493, 8006 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 6493, 8006 is 1.
Highest Common Factor of 6493,8006 is 1
Step 1: Since 8006 > 6493, we apply the division lemma to 8006 and 6493, to get
8006 = 6493 x 1 + 1513
Step 2: Since the reminder 6493 ≠ 0, we apply division lemma to 1513 and 6493, to get
6493 = 1513 x 4 + 441
Step 3: We consider the new divisor 1513 and the new remainder 441, and apply the division lemma to get
1513 = 441 x 3 + 190
We consider the new divisor 441 and the new remainder 190,and apply the division lemma to get
441 = 190 x 2 + 61
We consider the new divisor 190 and the new remainder 61,and apply the division lemma to get
190 = 61 x 3 + 7
We consider the new divisor 61 and the new remainder 7,and apply the division lemma to get
61 = 7 x 8 + 5
We consider the new divisor 7 and the new remainder 5,and apply the division lemma to get
7 = 5 x 1 + 2
We consider the new divisor 5 and the new remainder 2,and apply the division lemma to get
5 = 2 x 2 + 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 6493 and 8006 is 1
Notice that 1 = HCF(2,1) = HCF(5,2) = HCF(7,5) = HCF(61,7) = HCF(190,61) = HCF(441,190) = HCF(1513,441) = HCF(6493,1513) = HCF(8006,6493) .
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Frequently Asked Questions on HCF of 6493, 8006 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 6493, 8006?
Answer: HCF of 6493, 8006 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 6493, 8006 using Euclid's Algorithm?
Answer: For arbitrary numbers 6493, 8006 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.