Highest Common Factor of 6058, 1656 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 6058, 1656 i.e. 2 the largest integer that leaves a remainder zero for all numbers.
HCF of 6058, 1656 is 2 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 6058, 1656 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 6058, 1656 is 2.
HCF(6058, 1656) = 2
HCF of 6058, 1656 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 6058, 1656 is 2.
Highest Common Factor of 6058,1656 is 2
Step 1: Since 6058 > 1656, we apply the division lemma to 6058 and 1656, to get
6058 = 1656 x 3 + 1090
Step 2: Since the reminder 1656 ≠ 0, we apply division lemma to 1090 and 1656, to get
1656 = 1090 x 1 + 566
Step 3: We consider the new divisor 1090 and the new remainder 566, and apply the division lemma to get
1090 = 566 x 1 + 524
We consider the new divisor 566 and the new remainder 524,and apply the division lemma to get
566 = 524 x 1 + 42
We consider the new divisor 524 and the new remainder 42,and apply the division lemma to get
524 = 42 x 12 + 20
We consider the new divisor 42 and the new remainder 20,and apply the division lemma to get
42 = 20 x 2 + 2
We consider the new divisor 20 and the new remainder 2,and apply the division lemma to get
20 = 2 x 10 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 6058 and 1656 is 2
Notice that 2 = HCF(20,2) = HCF(42,20) = HCF(524,42) = HCF(566,524) = HCF(1090,566) = HCF(1656,1090) = HCF(6058,1656) .
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Frequently Asked Questions on HCF of 6058, 1656 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 6058, 1656?
Answer: HCF of 6058, 1656 is 2 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 6058, 1656 using Euclid's Algorithm?
Answer: For arbitrary numbers 6058, 1656 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.