Highest Common Factor of 1642, 5770 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 1642, 5770 i.e. 2 the largest integer that leaves a remainder zero for all numbers.
HCF of 1642, 5770 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 1642, 5770 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 1642, 5770 is 2.
HCF(1642, 5770) = 2
HCF of 1642, 5770 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 1642, 5770 is 2.
Highest Common Factor of 1642,5770 is 2
Step 1: Since 5770 > 1642, we apply the division lemma to 5770 and 1642, to get
5770 = 1642 x 3 + 844
Step 2: Since the reminder 1642 ≠ 0, we apply division lemma to 844 and 1642, to get
1642 = 844 x 1 + 798
Step 3: We consider the new divisor 844 and the new remainder 798, and apply the division lemma to get
844 = 798 x 1 + 46
We consider the new divisor 798 and the new remainder 46,and apply the division lemma to get
798 = 46 x 17 + 16
We consider the new divisor 46 and the new remainder 16,and apply the division lemma to get
46 = 16 x 2 + 14
We consider the new divisor 16 and the new remainder 14,and apply the division lemma to get
16 = 14 x 1 + 2
We consider the new divisor 14 and the new remainder 2,and apply the division lemma to get
14 = 2 x 7 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 1642 and 5770 is 2
Notice that 2 = HCF(14,2) = HCF(16,14) = HCF(46,16) = HCF(798,46) = HCF(844,798) = HCF(1642,844) = HCF(5770,1642) .
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Frequently Asked Questions on HCF of 1642, 5770 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 1642, 5770?
Answer: HCF of 1642, 5770 is 2 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 1642, 5770 using Euclid's Algorithm?
Answer: For arbitrary numbers 1642, 5770 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.
