Highest Common Factor of 3009, 5176 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 3009, 5176 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 3009, 5176 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 3009, 5176 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 3009, 5176 is 1.
HCF(3009, 5176) = 1
HCF of 3009, 5176 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 3009, 5176 is 1.
Highest Common Factor of 3009,5176 is 1
Step 1: Since 5176 > 3009, we apply the division lemma to 5176 and 3009, to get
5176 = 3009 x 1 + 2167
Step 2: Since the reminder 3009 ≠ 0, we apply division lemma to 2167 and 3009, to get
3009 = 2167 x 1 + 842
Step 3: We consider the new divisor 2167 and the new remainder 842, and apply the division lemma to get
2167 = 842 x 2 + 483
We consider the new divisor 842 and the new remainder 483,and apply the division lemma to get
842 = 483 x 1 + 359
We consider the new divisor 483 and the new remainder 359,and apply the division lemma to get
483 = 359 x 1 + 124
We consider the new divisor 359 and the new remainder 124,and apply the division lemma to get
359 = 124 x 2 + 111
We consider the new divisor 124 and the new remainder 111,and apply the division lemma to get
124 = 111 x 1 + 13
We consider the new divisor 111 and the new remainder 13,and apply the division lemma to get
111 = 13 x 8 + 7
We consider the new divisor 13 and the new remainder 7,and apply the division lemma to get
13 = 7 x 1 + 6
We consider the new divisor 7 and the new remainder 6,and apply the division lemma to get
7 = 6 x 1 + 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 3009 and 5176 is 1
Notice that 1 = HCF(6,1) = HCF(7,6) = HCF(13,7) = HCF(111,13) = HCF(124,111) = HCF(359,124) = HCF(483,359) = HCF(842,483) = HCF(2167,842) = HCF(3009,2167) = HCF(5176,3009) .
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Frequently Asked Questions on HCF of 3009, 5176 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 3009, 5176?
Answer: HCF of 3009, 5176 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 3009, 5176 using Euclid's Algorithm?
Answer: For arbitrary numbers 3009, 5176 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.
