Highest Common Factor of 8443, 5561 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 8443, 5561 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 8443, 5561 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 8443, 5561 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 8443, 5561 is 1.
HCF(8443, 5561) = 1
HCF of 8443, 5561 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 8443, 5561 is 1.
Highest Common Factor of 8443,5561 is 1
Step 1: Since 8443 > 5561, we apply the division lemma to 8443 and 5561, to get
8443 = 5561 x 1 + 2882
Step 2: Since the reminder 5561 ≠ 0, we apply division lemma to 2882 and 5561, to get
5561 = 2882 x 1 + 2679
Step 3: We consider the new divisor 2882 and the new remainder 2679, and apply the division lemma to get
2882 = 2679 x 1 + 203
We consider the new divisor 2679 and the new remainder 203,and apply the division lemma to get
2679 = 203 x 13 + 40
We consider the new divisor 203 and the new remainder 40,and apply the division lemma to get
203 = 40 x 5 + 3
We consider the new divisor 40 and the new remainder 3,and apply the division lemma to get
40 = 3 x 13 + 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 8443 and 5561 is 1
Notice that 1 = HCF(3,1) = HCF(40,3) = HCF(203,40) = HCF(2679,203) = HCF(2882,2679) = HCF(5561,2882) = HCF(8443,5561) .
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Frequently Asked Questions on HCF of 8443, 5561 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 8443, 5561?
Answer: HCF of 8443, 5561 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 8443, 5561 using Euclid's Algorithm?
Answer: For arbitrary numbers 8443, 5561 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.
