Highest Common Factor of 8443, 5865 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, 5865 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 8443, 5865 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, 5865 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, 5865 is 1.
HCF(8443, 5865) = 1
HCF of 8443, 5865 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, 5865 is 1.
Highest Common Factor of 8443,5865 is 1
Step 1: Since 8443 > 5865, we apply the division lemma to 8443 and 5865, to get
8443 = 5865 x 1 + 2578
Step 2: Since the reminder 5865 ≠ 0, we apply division lemma to 2578 and 5865, to get
5865 = 2578 x 2 + 709
Step 3: We consider the new divisor 2578 and the new remainder 709, and apply the division lemma to get
2578 = 709 x 3 + 451
We consider the new divisor 709 and the new remainder 451,and apply the division lemma to get
709 = 451 x 1 + 258
We consider the new divisor 451 and the new remainder 258,and apply the division lemma to get
451 = 258 x 1 + 193
We consider the new divisor 258 and the new remainder 193,and apply the division lemma to get
258 = 193 x 1 + 65
We consider the new divisor 193 and the new remainder 65,and apply the division lemma to get
193 = 65 x 2 + 63
We consider the new divisor 65 and the new remainder 63,and apply the division lemma to get
65 = 63 x 1 + 2
We consider the new divisor 63 and the new remainder 2,and apply the division lemma to get
63 = 2 x 31 + 1
We consider the new divisor 2 and the new remainder 1,and apply the division lemma to get
2 = 1 x 2 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 8443 and 5865 is 1
Notice that 1 = HCF(2,1) = HCF(63,2) = HCF(65,63) = HCF(193,65) = HCF(258,193) = HCF(451,258) = HCF(709,451) = HCF(2578,709) = HCF(5865,2578) = HCF(8443,5865) .
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Frequently Asked Questions on HCF of 8443, 5865 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, 5865?
Answer: HCF of 8443, 5865 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 8443, 5865 using Euclid's Algorithm?
Answer: For arbitrary numbers 8443, 5865 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.