Highest Common Factor of 896, 543 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 896, 543 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 896, 543 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 896, 543 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 896, 543 is 1.
HCF(896, 543) = 1
HCF of 896, 543 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 896, 543 is 1.
Highest Common Factor of 896,543 is 1
Step 1: Since 896 > 543, we apply the division lemma to 896 and 543, to get
896 = 543 x 1 + 353
Step 2: Since the reminder 543 ≠ 0, we apply division lemma to 353 and 543, to get
543 = 353 x 1 + 190
Step 3: We consider the new divisor 353 and the new remainder 190, and apply the division lemma to get
353 = 190 x 1 + 163
We consider the new divisor 190 and the new remainder 163,and apply the division lemma to get
190 = 163 x 1 + 27
We consider the new divisor 163 and the new remainder 27,and apply the division lemma to get
163 = 27 x 6 + 1
We consider the new divisor 27 and the new remainder 1,and apply the division lemma to get
27 = 1 x 27 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 896 and 543 is 1
Notice that 1 = HCF(27,1) = HCF(163,27) = HCF(190,163) = HCF(353,190) = HCF(543,353) = HCF(896,543) .
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Frequently Asked Questions on HCF of 896, 543 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 896, 543?
Answer: HCF of 896, 543 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 896, 543 using Euclid's Algorithm?
Answer: For arbitrary numbers 896, 543 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.
