Highest Common Factor of 8380, 5563 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 8380, 5563 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 8380, 5563 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 8380, 5563 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 8380, 5563 is 1.
HCF(8380, 5563) = 1
HCF of 8380, 5563 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 8380, 5563 is 1.
Highest Common Factor of 8380,5563 is 1
Step 1: Since 8380 > 5563, we apply the division lemma to 8380 and 5563, to get
8380 = 5563 x 1 + 2817
Step 2: Since the reminder 5563 ≠ 0, we apply division lemma to 2817 and 5563, to get
5563 = 2817 x 1 + 2746
Step 3: We consider the new divisor 2817 and the new remainder 2746, and apply the division lemma to get
2817 = 2746 x 1 + 71
We consider the new divisor 2746 and the new remainder 71,and apply the division lemma to get
2746 = 71 x 38 + 48
We consider the new divisor 71 and the new remainder 48,and apply the division lemma to get
71 = 48 x 1 + 23
We consider the new divisor 48 and the new remainder 23,and apply the division lemma to get
48 = 23 x 2 + 2
We consider the new divisor 23 and the new remainder 2,and apply the division lemma to get
23 = 2 x 11 + 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 8380 and 5563 is 1
Notice that 1 = HCF(2,1) = HCF(23,2) = HCF(48,23) = HCF(71,48) = HCF(2746,71) = HCF(2817,2746) = HCF(5563,2817) = HCF(8380,5563) .
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Frequently Asked Questions on HCF of 8380, 5563 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 8380, 5563?
Answer: HCF of 8380, 5563 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 8380, 5563 using Euclid's Algorithm?
Answer: For arbitrary numbers 8380, 5563 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.
