Highest Common Factor of 561, 44111 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 561, 44111 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 561, 44111 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 561, 44111 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 561, 44111 is 1.
HCF(561, 44111) = 1
HCF of 561, 44111 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 561, 44111 is 1.
Highest Common Factor of 561,44111 is 1
Step 1: Since 44111 > 561, we apply the division lemma to 44111 and 561, to get
44111 = 561 x 78 + 353
Step 2: Since the reminder 561 ≠ 0, we apply division lemma to 353 and 561, to get
561 = 353 x 1 + 208
Step 3: We consider the new divisor 353 and the new remainder 208, and apply the division lemma to get
353 = 208 x 1 + 145
We consider the new divisor 208 and the new remainder 145,and apply the division lemma to get
208 = 145 x 1 + 63
We consider the new divisor 145 and the new remainder 63,and apply the division lemma to get
145 = 63 x 2 + 19
We consider the new divisor 63 and the new remainder 19,and apply the division lemma to get
63 = 19 x 3 + 6
We consider the new divisor 19 and the new remainder 6,and apply the division lemma to get
19 = 6 x 3 + 1
We consider the new divisor 6 and the new remainder 1,and apply the division lemma to get
6 = 1 x 6 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 561 and 44111 is 1
Notice that 1 = HCF(6,1) = HCF(19,6) = HCF(63,19) = HCF(145,63) = HCF(208,145) = HCF(353,208) = HCF(561,353) = HCF(44111,561) .
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Frequently Asked Questions on HCF of 561, 44111 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 561, 44111?
Answer: HCF of 561, 44111 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 561, 44111 using Euclid's Algorithm?
Answer: For arbitrary numbers 561, 44111 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.