Highest Common Factor of 5944, 5559 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 5944, 5559 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 5944, 5559 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 5944, 5559 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 5944, 5559 is 1.
HCF(5944, 5559) = 1
HCF of 5944, 5559 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 5944, 5559 is 1.
Highest Common Factor of 5944,5559 is 1
Step 1: Since 5944 > 5559, we apply the division lemma to 5944 and 5559, to get
5944 = 5559 x 1 + 385
Step 2: Since the reminder 5559 ≠ 0, we apply division lemma to 385 and 5559, to get
5559 = 385 x 14 + 169
Step 3: We consider the new divisor 385 and the new remainder 169, and apply the division lemma to get
385 = 169 x 2 + 47
We consider the new divisor 169 and the new remainder 47,and apply the division lemma to get
169 = 47 x 3 + 28
We consider the new divisor 47 and the new remainder 28,and apply the division lemma to get
47 = 28 x 1 + 19
We consider the new divisor 28 and the new remainder 19,and apply the division lemma to get
28 = 19 x 1 + 9
We consider the new divisor 19 and the new remainder 9,and apply the division lemma to get
19 = 9 x 2 + 1
We consider the new divisor 9 and the new remainder 1,and apply the division lemma to get
9 = 1 x 9 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 5944 and 5559 is 1
Notice that 1 = HCF(9,1) = HCF(19,9) = HCF(28,19) = HCF(47,28) = HCF(169,47) = HCF(385,169) = HCF(5559,385) = HCF(5944,5559) .
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Frequently Asked Questions on HCF of 5944, 5559 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 5944, 5559?
Answer: HCF of 5944, 5559 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 5944, 5559 using Euclid's Algorithm?
Answer: For arbitrary numbers 5944, 5559 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.
