Highest Common Factor of 1629, 5194 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 1629, 5194 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 1629, 5194 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 1629, 5194 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 1629, 5194 is 1.
HCF(1629, 5194) = 1
HCF of 1629, 5194 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 1629, 5194 is 1.
Highest Common Factor of 1629,5194 is 1
Step 1: Since 5194 > 1629, we apply the division lemma to 5194 and 1629, to get
5194 = 1629 x 3 + 307
Step 2: Since the reminder 1629 ≠ 0, we apply division lemma to 307 and 1629, to get
1629 = 307 x 5 + 94
Step 3: We consider the new divisor 307 and the new remainder 94, and apply the division lemma to get
307 = 94 x 3 + 25
We consider the new divisor 94 and the new remainder 25,and apply the division lemma to get
94 = 25 x 3 + 19
We consider the new divisor 25 and the new remainder 19,and apply the division lemma to get
25 = 19 x 1 + 6
We consider the new divisor 19 and the new remainder 6,and apply the division lemma to get
19 = 6 x 3 + 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 1629 and 5194 is 1
Notice that 1 = HCF(6,1) = HCF(19,6) = HCF(25,19) = HCF(94,25) = HCF(307,94) = HCF(1629,307) = HCF(5194,1629) .
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Frequently Asked Questions on HCF of 1629, 5194 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 1629, 5194?
Answer: HCF of 1629, 5194 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 1629, 5194 using Euclid's Algorithm?
Answer: For arbitrary numbers 1629, 5194 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.