Highest Common Factor of 592, 6841 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 592, 6841 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 592, 6841 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 592, 6841 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 592, 6841 is 1.
HCF(592, 6841) = 1
HCF of 592, 6841 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 592, 6841 is 1.
Highest Common Factor of 592,6841 is 1
Step 1: Since 6841 > 592, we apply the division lemma to 6841 and 592, to get
6841 = 592 x 11 + 329
Step 2: Since the reminder 592 ≠ 0, we apply division lemma to 329 and 592, to get
592 = 329 x 1 + 263
Step 3: We consider the new divisor 329 and the new remainder 263, and apply the division lemma to get
329 = 263 x 1 + 66
We consider the new divisor 263 and the new remainder 66,and apply the division lemma to get
263 = 66 x 3 + 65
We consider the new divisor 66 and the new remainder 65,and apply the division lemma to get
66 = 65 x 1 + 1
We consider the new divisor 65 and the new remainder 1,and apply the division lemma to get
65 = 1 x 65 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 592 and 6841 is 1
Notice that 1 = HCF(65,1) = HCF(66,65) = HCF(263,66) = HCF(329,263) = HCF(592,329) = HCF(6841,592) .
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Frequently Asked Questions on HCF of 592, 6841 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 592, 6841?
Answer: HCF of 592, 6841 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 592, 6841 using Euclid's Algorithm?
Answer: For arbitrary numbers 592, 6841 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.
