Highest Common Factor of 6073, 1289 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 6073, 1289 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 6073, 1289 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 6073, 1289 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 6073, 1289 is 1.
HCF(6073, 1289) = 1
HCF of 6073, 1289 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 6073, 1289 is 1.
Highest Common Factor of 6073,1289 is 1
Step 1: Since 6073 > 1289, we apply the division lemma to 6073 and 1289, to get
6073 = 1289 x 4 + 917
Step 2: Since the reminder 1289 ≠ 0, we apply division lemma to 917 and 1289, to get
1289 = 917 x 1 + 372
Step 3: We consider the new divisor 917 and the new remainder 372, and apply the division lemma to get
917 = 372 x 2 + 173
We consider the new divisor 372 and the new remainder 173,and apply the division lemma to get
372 = 173 x 2 + 26
We consider the new divisor 173 and the new remainder 26,and apply the division lemma to get
173 = 26 x 6 + 17
We consider the new divisor 26 and the new remainder 17,and apply the division lemma to get
26 = 17 x 1 + 9
We consider the new divisor 17 and the new remainder 9,and apply the division lemma to get
17 = 9 x 1 + 8
We consider the new divisor 9 and the new remainder 8,and apply the division lemma to get
9 = 8 x 1 + 1
We consider the new divisor 8 and the new remainder 1,and apply the division lemma to get
8 = 1 x 8 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 6073 and 1289 is 1
Notice that 1 = HCF(8,1) = HCF(9,8) = HCF(17,9) = HCF(26,17) = HCF(173,26) = HCF(372,173) = HCF(917,372) = HCF(1289,917) = HCF(6073,1289) .
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Frequently Asked Questions on HCF of 6073, 1289 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 6073, 1289?
Answer: HCF of 6073, 1289 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 6073, 1289 using Euclid's Algorithm?
Answer: For arbitrary numbers 6073, 1289 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.