Highest Common Factor of 896, 559 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 896, 559 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 896, 559 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 896, 559 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 896, 559 is 1.
HCF(896, 559) = 1
HCF of 896, 559 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 896, 559 is 1.
Highest Common Factor of 896,559 is 1
Step 1: Since 896 > 559, we apply the division lemma to 896 and 559, to get
896 = 559 x 1 + 337
Step 2: Since the reminder 559 ≠ 0, we apply division lemma to 337 and 559, to get
559 = 337 x 1 + 222
Step 3: We consider the new divisor 337 and the new remainder 222, and apply the division lemma to get
337 = 222 x 1 + 115
We consider the new divisor 222 and the new remainder 115,and apply the division lemma to get
222 = 115 x 1 + 107
We consider the new divisor 115 and the new remainder 107,and apply the division lemma to get
115 = 107 x 1 + 8
We consider the new divisor 107 and the new remainder 8,and apply the division lemma to get
107 = 8 x 13 + 3
We consider the new divisor 8 and the new remainder 3,and apply the division lemma to get
8 = 3 x 2 + 2
We consider the new divisor 3 and the new remainder 2,and apply the division lemma to get
3 = 2 x 1 + 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 896 and 559 is 1
Notice that 1 = HCF(2,1) = HCF(3,2) = HCF(8,3) = HCF(107,8) = HCF(115,107) = HCF(222,115) = HCF(337,222) = HCF(559,337) = HCF(896,559) .
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Frequently Asked Questions on HCF of 896, 559 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 896, 559?
Answer: HCF of 896, 559 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 896, 559 using Euclid's Algorithm?
Answer: For arbitrary numbers 896, 559 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.