Highest Common Factor of 2443, 3565 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 2443, 3565 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 2443, 3565 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 2443, 3565 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 2443, 3565 is 1.
HCF(2443, 3565) = 1
HCF of 2443, 3565 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 2443, 3565 is 1.
Highest Common Factor of 2443,3565 is 1
Step 1: Since 3565 > 2443, we apply the division lemma to 3565 and 2443, to get
3565 = 2443 x 1 + 1122
Step 2: Since the reminder 2443 ≠ 0, we apply division lemma to 1122 and 2443, to get
2443 = 1122 x 2 + 199
Step 3: We consider the new divisor 1122 and the new remainder 199, and apply the division lemma to get
1122 = 199 x 5 + 127
We consider the new divisor 199 and the new remainder 127,and apply the division lemma to get
199 = 127 x 1 + 72
We consider the new divisor 127 and the new remainder 72,and apply the division lemma to get
127 = 72 x 1 + 55
We consider the new divisor 72 and the new remainder 55,and apply the division lemma to get
72 = 55 x 1 + 17
We consider the new divisor 55 and the new remainder 17,and apply the division lemma to get
55 = 17 x 3 + 4
We consider the new divisor 17 and the new remainder 4,and apply the division lemma to get
17 = 4 x 4 + 1
We consider the new divisor 4 and the new remainder 1,and apply the division lemma to get
4 = 1 x 4 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 2443 and 3565 is 1
Notice that 1 = HCF(4,1) = HCF(17,4) = HCF(55,17) = HCF(72,55) = HCF(127,72) = HCF(199,127) = HCF(1122,199) = HCF(2443,1122) = HCF(3565,2443) .
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Frequently Asked Questions on HCF of 2443, 3565 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 2443, 3565?
Answer: HCF of 2443, 3565 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 2443, 3565 using Euclid's Algorithm?
Answer: For arbitrary numbers 2443, 3565 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.