Highest Common Factor of 563, 7669 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 563, 7669 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 563, 7669 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 563, 7669 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 563, 7669 is 1.
HCF(563, 7669) = 1
HCF of 563, 7669 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 563, 7669 is 1.
Highest Common Factor of 563,7669 is 1
Step 1: Since 7669 > 563, we apply the division lemma to 7669 and 563, to get
7669 = 563 x 13 + 350
Step 2: Since the reminder 563 ≠ 0, we apply division lemma to 350 and 563, to get
563 = 350 x 1 + 213
Step 3: We consider the new divisor 350 and the new remainder 213, and apply the division lemma to get
350 = 213 x 1 + 137
We consider the new divisor 213 and the new remainder 137,and apply the division lemma to get
213 = 137 x 1 + 76
We consider the new divisor 137 and the new remainder 76,and apply the division lemma to get
137 = 76 x 1 + 61
We consider the new divisor 76 and the new remainder 61,and apply the division lemma to get
76 = 61 x 1 + 15
We consider the new divisor 61 and the new remainder 15,and apply the division lemma to get
61 = 15 x 4 + 1
We consider the new divisor 15 and the new remainder 1,and apply the division lemma to get
15 = 1 x 15 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 563 and 7669 is 1
Notice that 1 = HCF(15,1) = HCF(61,15) = HCF(76,61) = HCF(137,76) = HCF(213,137) = HCF(350,213) = HCF(563,350) = HCF(7669,563) .
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Frequently Asked Questions on HCF of 563, 7669 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 563, 7669?
Answer: HCF of 563, 7669 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 563, 7669 using Euclid's Algorithm?
Answer: For arbitrary numbers 563, 7669 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.