Highest Common Factor of 8943, 6857 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 8943, 6857 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 8943, 6857 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 8943, 6857 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 8943, 6857 is 1.
HCF(8943, 6857) = 1
HCF of 8943, 6857 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 8943, 6857 is 1.
Highest Common Factor of 8943,6857 is 1
Step 1: Since 8943 > 6857, we apply the division lemma to 8943 and 6857, to get
8943 = 6857 x 1 + 2086
Step 2: Since the reminder 6857 ≠ 0, we apply division lemma to 2086 and 6857, to get
6857 = 2086 x 3 + 599
Step 3: We consider the new divisor 2086 and the new remainder 599, and apply the division lemma to get
2086 = 599 x 3 + 289
We consider the new divisor 599 and the new remainder 289,and apply the division lemma to get
599 = 289 x 2 + 21
We consider the new divisor 289 and the new remainder 21,and apply the division lemma to get
289 = 21 x 13 + 16
We consider the new divisor 21 and the new remainder 16,and apply the division lemma to get
21 = 16 x 1 + 5
We consider the new divisor 16 and the new remainder 5,and apply the division lemma to get
16 = 5 x 3 + 1
We consider the new divisor 5 and the new remainder 1,and apply the division lemma to get
5 = 1 x 5 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 8943 and 6857 is 1
Notice that 1 = HCF(5,1) = HCF(16,5) = HCF(21,16) = HCF(289,21) = HCF(599,289) = HCF(2086,599) = HCF(6857,2086) = HCF(8943,6857) .
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Frequently Asked Questions on HCF of 8943, 6857 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 8943, 6857?
Answer: HCF of 8943, 6857 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 8943, 6857 using Euclid's Algorithm?
Answer: For arbitrary numbers 8943, 6857 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.