Highest Common Factor of 8532, 8743 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 8532, 8743 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 8532, 8743 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 8532, 8743 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 8532, 8743 is 1.
HCF(8532, 8743) = 1
HCF of 8532, 8743 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 8532, 8743 is 1.
Highest Common Factor of 8532,8743 is 1
Step 1: Since 8743 > 8532, we apply the division lemma to 8743 and 8532, to get
8743 = 8532 x 1 + 211
Step 2: Since the reminder 8532 ≠ 0, we apply division lemma to 211 and 8532, to get
8532 = 211 x 40 + 92
Step 3: We consider the new divisor 211 and the new remainder 92, and apply the division lemma to get
211 = 92 x 2 + 27
We consider the new divisor 92 and the new remainder 27,and apply the division lemma to get
92 = 27 x 3 + 11
We consider the new divisor 27 and the new remainder 11,and apply the division lemma to get
27 = 11 x 2 + 5
We consider the new divisor 11 and the new remainder 5,and apply the division lemma to get
11 = 5 x 2 + 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 8532 and 8743 is 1
Notice that 1 = HCF(5,1) = HCF(11,5) = HCF(27,11) = HCF(92,27) = HCF(211,92) = HCF(8532,211) = HCF(8743,8532) .
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Frequently Asked Questions on HCF of 8532, 8743 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 8532, 8743?
Answer: HCF of 8532, 8743 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 8532, 8743 using Euclid's Algorithm?
Answer: For arbitrary numbers 8532, 8743 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.