Highest Common Factor of 865, 32691 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 865, 32691 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 865, 32691 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 865, 32691 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 865, 32691 is 1.
HCF(865, 32691) = 1
HCF of 865, 32691 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 865, 32691 is 1.
Highest Common Factor of 865,32691 is 1
Step 1: Since 32691 > 865, we apply the division lemma to 32691 and 865, to get
32691 = 865 x 37 + 686
Step 2: Since the reminder 865 ≠ 0, we apply division lemma to 686 and 865, to get
865 = 686 x 1 + 179
Step 3: We consider the new divisor 686 and the new remainder 179, and apply the division lemma to get
686 = 179 x 3 + 149
We consider the new divisor 179 and the new remainder 149,and apply the division lemma to get
179 = 149 x 1 + 30
We consider the new divisor 149 and the new remainder 30,and apply the division lemma to get
149 = 30 x 4 + 29
We consider the new divisor 30 and the new remainder 29,and apply the division lemma to get
30 = 29 x 1 + 1
We consider the new divisor 29 and the new remainder 1,and apply the division lemma to get
29 = 1 x 29 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 865 and 32691 is 1
Notice that 1 = HCF(29,1) = HCF(30,29) = HCF(149,30) = HCF(179,149) = HCF(686,179) = HCF(865,686) = HCF(32691,865) .
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Frequently Asked Questions on HCF of 865, 32691 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 865, 32691?
Answer: HCF of 865, 32691 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 865, 32691 using Euclid's Algorithm?
Answer: For arbitrary numbers 865, 32691 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.