Highest Common Factor of 8605, 6536 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 8605, 6536 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 8605, 6536 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 8605, 6536 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 8605, 6536 is 1.
HCF(8605, 6536) = 1
HCF of 8605, 6536 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 8605, 6536 is 1.
Highest Common Factor of 8605,6536 is 1
Step 1: Since 8605 > 6536, we apply the division lemma to 8605 and 6536, to get
8605 = 6536 x 1 + 2069
Step 2: Since the reminder 6536 ≠ 0, we apply division lemma to 2069 and 6536, to get
6536 = 2069 x 3 + 329
Step 3: We consider the new divisor 2069 and the new remainder 329, and apply the division lemma to get
2069 = 329 x 6 + 95
We consider the new divisor 329 and the new remainder 95,and apply the division lemma to get
329 = 95 x 3 + 44
We consider the new divisor 95 and the new remainder 44,and apply the division lemma to get
95 = 44 x 2 + 7
We consider the new divisor 44 and the new remainder 7,and apply the division lemma to get
44 = 7 x 6 + 2
We consider the new divisor 7 and the new remainder 2,and apply the division lemma to get
7 = 2 x 3 + 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 8605 and 6536 is 1
Notice that 1 = HCF(2,1) = HCF(7,2) = HCF(44,7) = HCF(95,44) = HCF(329,95) = HCF(2069,329) = HCF(6536,2069) = HCF(8605,6536) .
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Frequently Asked Questions on HCF of 8605, 6536 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 8605, 6536?
Answer: HCF of 8605, 6536 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 8605, 6536 using Euclid's Algorithm?
Answer: For arbitrary numbers 8605, 6536 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.