Highest Common Factor of 3066, 4541 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 3066, 4541 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 3066, 4541 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 3066, 4541 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 3066, 4541 is 1.
HCF(3066, 4541) = 1
HCF of 3066, 4541 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 3066, 4541 is 1.
Highest Common Factor of 3066,4541 is 1
Step 1: Since 4541 > 3066, we apply the division lemma to 4541 and 3066, to get
4541 = 3066 x 1 + 1475
Step 2: Since the reminder 3066 ≠ 0, we apply division lemma to 1475 and 3066, to get
3066 = 1475 x 2 + 116
Step 3: We consider the new divisor 1475 and the new remainder 116, and apply the division lemma to get
1475 = 116 x 12 + 83
We consider the new divisor 116 and the new remainder 83,and apply the division lemma to get
116 = 83 x 1 + 33
We consider the new divisor 83 and the new remainder 33,and apply the division lemma to get
83 = 33 x 2 + 17
We consider the new divisor 33 and the new remainder 17,and apply the division lemma to get
33 = 17 x 1 + 16
We consider the new divisor 17 and the new remainder 16,and apply the division lemma to get
17 = 16 x 1 + 1
We consider the new divisor 16 and the new remainder 1,and apply the division lemma to get
16 = 1 x 16 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 3066 and 4541 is 1
Notice that 1 = HCF(16,1) = HCF(17,16) = HCF(33,17) = HCF(83,33) = HCF(116,83) = HCF(1475,116) = HCF(3066,1475) = HCF(4541,3066) .
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Frequently Asked Questions on HCF of 3066, 4541 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 3066, 4541?
Answer: HCF of 3066, 4541 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 3066, 4541 using Euclid's Algorithm?
Answer: For arbitrary numbers 3066, 4541 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.