Highest Common Factor of 6560, 3559 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 6560, 3559 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 6560, 3559 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 6560, 3559 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 6560, 3559 is 1.
HCF(6560, 3559) = 1
HCF of 6560, 3559 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 6560, 3559 is 1.
Highest Common Factor of 6560,3559 is 1
Step 1: Since 6560 > 3559, we apply the division lemma to 6560 and 3559, to get
6560 = 3559 x 1 + 3001
Step 2: Since the reminder 3559 ≠ 0, we apply division lemma to 3001 and 3559, to get
3559 = 3001 x 1 + 558
Step 3: We consider the new divisor 3001 and the new remainder 558, and apply the division lemma to get
3001 = 558 x 5 + 211
We consider the new divisor 558 and the new remainder 211,and apply the division lemma to get
558 = 211 x 2 + 136
We consider the new divisor 211 and the new remainder 136,and apply the division lemma to get
211 = 136 x 1 + 75
We consider the new divisor 136 and the new remainder 75,and apply the division lemma to get
136 = 75 x 1 + 61
We consider the new divisor 75 and the new remainder 61,and apply the division lemma to get
75 = 61 x 1 + 14
We consider the new divisor 61 and the new remainder 14,and apply the division lemma to get
61 = 14 x 4 + 5
We consider the new divisor 14 and the new remainder 5,and apply the division lemma to get
14 = 5 x 2 + 4
We consider the new divisor 5 and the new remainder 4,and apply the division lemma to get
5 = 4 x 1 + 1
We consider the new divisor 4 and the new remainder 1,and apply the division lemma to get
4 = 1 x 4 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 6560 and 3559 is 1
Notice that 1 = HCF(4,1) = HCF(5,4) = HCF(14,5) = HCF(61,14) = HCF(75,61) = HCF(136,75) = HCF(211,136) = HCF(558,211) = HCF(3001,558) = HCF(3559,3001) = HCF(6560,3559) .
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Frequently Asked Questions on HCF of 6560, 3559 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 6560, 3559?
Answer: HCF of 6560, 3559 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 6560, 3559 using Euclid's Algorithm?
Answer: For arbitrary numbers 6560, 3559 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.