Highest Common Factor of 839, 11617 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 839, 11617 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 839, 11617 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 839, 11617 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 839, 11617 is 1.
HCF(839, 11617) = 1
HCF of 839, 11617 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 839, 11617 is 1.
Highest Common Factor of 839,11617 is 1
Step 1: Since 11617 > 839, we apply the division lemma to 11617 and 839, to get
11617 = 839 x 13 + 710
Step 2: Since the reminder 839 ≠ 0, we apply division lemma to 710 and 839, to get
839 = 710 x 1 + 129
Step 3: We consider the new divisor 710 and the new remainder 129, and apply the division lemma to get
710 = 129 x 5 + 65
We consider the new divisor 129 and the new remainder 65,and apply the division lemma to get
129 = 65 x 1 + 64
We consider the new divisor 65 and the new remainder 64,and apply the division lemma to get
65 = 64 x 1 + 1
We consider the new divisor 64 and the new remainder 1,and apply the division lemma to get
64 = 1 x 64 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 839 and 11617 is 1
Notice that 1 = HCF(64,1) = HCF(65,64) = HCF(129,65) = HCF(710,129) = HCF(839,710) = HCF(11617,839) .
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Frequently Asked Questions on HCF of 839, 11617 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 839, 11617?
Answer: HCF of 839, 11617 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 839, 11617 using Euclid's Algorithm?
Answer: For arbitrary numbers 839, 11617 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.