Highest Common Factor of 559, 9969 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 559, 9969 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 559, 9969 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 559, 9969 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 559, 9969 is 1.
HCF(559, 9969) = 1
HCF of 559, 9969 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 559, 9969 is 1.
Highest Common Factor of 559,9969 is 1
Step 1: Since 9969 > 559, we apply the division lemma to 9969 and 559, to get
9969 = 559 x 17 + 466
Step 2: Since the reminder 559 ≠ 0, we apply division lemma to 466 and 559, to get
559 = 466 x 1 + 93
Step 3: We consider the new divisor 466 and the new remainder 93, and apply the division lemma to get
466 = 93 x 5 + 1
We consider the new divisor 93 and the new remainder 1, and apply the division lemma to get
93 = 1 x 93 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 559 and 9969 is 1
Notice that 1 = HCF(93,1) = HCF(466,93) = HCF(559,466) = HCF(9969,559) .
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Frequently Asked Questions on HCF of 559, 9969 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 559, 9969?
Answer: HCF of 559, 9969 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 559, 9969 using Euclid's Algorithm?
Answer: For arbitrary numbers 559, 9969 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.