Highest Common Factor of 3093, 7059 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 3093, 7059 i.e. 3 the largest integer that leaves a remainder zero for all numbers.
HCF of 3093, 7059 is 3 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 3093, 7059 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 3093, 7059 is 3.
HCF(3093, 7059) = 3
HCF of 3093, 7059 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 3093, 7059 is 3.
Highest Common Factor of 3093,7059 is 3
Step 1: Since 7059 > 3093, we apply the division lemma to 7059 and 3093, to get
7059 = 3093 x 2 + 873
Step 2: Since the reminder 3093 ≠ 0, we apply division lemma to 873 and 3093, to get
3093 = 873 x 3 + 474
Step 3: We consider the new divisor 873 and the new remainder 474, and apply the division lemma to get
873 = 474 x 1 + 399
We consider the new divisor 474 and the new remainder 399,and apply the division lemma to get
474 = 399 x 1 + 75
We consider the new divisor 399 and the new remainder 75,and apply the division lemma to get
399 = 75 x 5 + 24
We consider the new divisor 75 and the new remainder 24,and apply the division lemma to get
75 = 24 x 3 + 3
We consider the new divisor 24 and the new remainder 3,and apply the division lemma to get
24 = 3 x 8 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 3, the HCF of 3093 and 7059 is 3
Notice that 3 = HCF(24,3) = HCF(75,24) = HCF(399,75) = HCF(474,399) = HCF(873,474) = HCF(3093,873) = HCF(7059,3093) .
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Frequently Asked Questions on HCF of 3093, 7059 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 3093, 7059?
Answer: HCF of 3093, 7059 is 3 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 3093, 7059 using Euclid's Algorithm?
Answer: For arbitrary numbers 3093, 7059 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.