Highest Common Factor of 863, 5734 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 863, 5734 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 863, 5734 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 863, 5734 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 863, 5734 is 1.
HCF(863, 5734) = 1
HCF of 863, 5734 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 863, 5734 is 1.
Highest Common Factor of 863,5734 is 1
Step 1: Since 5734 > 863, we apply the division lemma to 5734 and 863, to get
5734 = 863 x 6 + 556
Step 2: Since the reminder 863 ≠ 0, we apply division lemma to 556 and 863, to get
863 = 556 x 1 + 307
Step 3: We consider the new divisor 556 and the new remainder 307, and apply the division lemma to get
556 = 307 x 1 + 249
We consider the new divisor 307 and the new remainder 249,and apply the division lemma to get
307 = 249 x 1 + 58
We consider the new divisor 249 and the new remainder 58,and apply the division lemma to get
249 = 58 x 4 + 17
We consider the new divisor 58 and the new remainder 17,and apply the division lemma to get
58 = 17 x 3 + 7
We consider the new divisor 17 and the new remainder 7,and apply the division lemma to get
17 = 7 x 2 + 3
We consider the new divisor 7 and the new remainder 3,and apply the division lemma to get
7 = 3 x 2 + 1
We consider the new divisor 3 and the new remainder 1,and apply the division lemma to get
3 = 1 x 3 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 863 and 5734 is 1
Notice that 1 = HCF(3,1) = HCF(7,3) = HCF(17,7) = HCF(58,17) = HCF(249,58) = HCF(307,249) = HCF(556,307) = HCF(863,556) = HCF(5734,863) .
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Frequently Asked Questions on HCF of 863, 5734 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 863, 5734?
Answer: HCF of 863, 5734 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 863, 5734 using Euclid's Algorithm?
Answer: For arbitrary numbers 863, 5734 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.
