Highest Common Factor of 559, 860 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, 860 i.e. 43 the largest integer that leaves a remainder zero for all numbers.
HCF of 559, 860 is 43 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, 860 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, 860 is 43.
HCF(559, 860) = 43
HCF of 559, 860 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, 860 is 43.
Highest Common Factor of 559,860 is 43
Step 1: Since 860 > 559, we apply the division lemma to 860 and 559, to get
860 = 559 x 1 + 301
Step 2: Since the reminder 559 ≠ 0, we apply division lemma to 301 and 559, to get
559 = 301 x 1 + 258
Step 3: We consider the new divisor 301 and the new remainder 258, and apply the division lemma to get
301 = 258 x 1 + 43
We consider the new divisor 258 and the new remainder 43, and apply the division lemma to get
258 = 43 x 6 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 43, the HCF of 559 and 860 is 43
Notice that 43 = HCF(258,43) = HCF(301,258) = HCF(559,301) = HCF(860,559) .
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Frequently Asked Questions on HCF of 559, 860 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, 860?
Answer: HCF of 559, 860 is 43 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 559, 860 using Euclid's Algorithm?
Answer: For arbitrary numbers 559, 860 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.