Highest Common Factor of 5643, 9065 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 5643, 9065 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 5643, 9065 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 5643, 9065 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 5643, 9065 is 1.
HCF(5643, 9065) = 1
HCF of 5643, 9065 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 5643, 9065 is 1.
Highest Common Factor of 5643,9065 is 1
Step 1: Since 9065 > 5643, we apply the division lemma to 9065 and 5643, to get
9065 = 5643 x 1 + 3422
Step 2: Since the reminder 5643 ≠ 0, we apply division lemma to 3422 and 5643, to get
5643 = 3422 x 1 + 2221
Step 3: We consider the new divisor 3422 and the new remainder 2221, and apply the division lemma to get
3422 = 2221 x 1 + 1201
We consider the new divisor 2221 and the new remainder 1201,and apply the division lemma to get
2221 = 1201 x 1 + 1020
We consider the new divisor 1201 and the new remainder 1020,and apply the division lemma to get
1201 = 1020 x 1 + 181
We consider the new divisor 1020 and the new remainder 181,and apply the division lemma to get
1020 = 181 x 5 + 115
We consider the new divisor 181 and the new remainder 115,and apply the division lemma to get
181 = 115 x 1 + 66
We consider the new divisor 115 and the new remainder 66,and apply the division lemma to get
115 = 66 x 1 + 49
We consider the new divisor 66 and the new remainder 49,and apply the division lemma to get
66 = 49 x 1 + 17
We consider the new divisor 49 and the new remainder 17,and apply the division lemma to get
49 = 17 x 2 + 15
We consider the new divisor 17 and the new remainder 15,and apply the division lemma to get
17 = 15 x 1 + 2
We consider the new divisor 15 and the new remainder 2,and apply the division lemma to get
15 = 2 x 7 + 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 5643 and 9065 is 1
Notice that 1 = HCF(2,1) = HCF(15,2) = HCF(17,15) = HCF(49,17) = HCF(66,49) = HCF(115,66) = HCF(181,115) = HCF(1020,181) = HCF(1201,1020) = HCF(2221,1201) = HCF(3422,2221) = HCF(5643,3422) = HCF(9065,5643) .
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Frequently Asked Questions on HCF of 5643, 9065 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 5643, 9065?
Answer: HCF of 5643, 9065 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 5643, 9065 using Euclid's Algorithm?
Answer: For arbitrary numbers 5643, 9065 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.