Highest Common Factor of 5359, 1690 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 5359, 1690 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 5359, 1690 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 5359, 1690 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 5359, 1690 is 1.
HCF(5359, 1690) = 1
HCF of 5359, 1690 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 5359, 1690 is 1.
Highest Common Factor of 5359,1690 is 1
Step 1: Since 5359 > 1690, we apply the division lemma to 5359 and 1690, to get
5359 = 1690 x 3 + 289
Step 2: Since the reminder 1690 ≠ 0, we apply division lemma to 289 and 1690, to get
1690 = 289 x 5 + 245
Step 3: We consider the new divisor 289 and the new remainder 245, and apply the division lemma to get
289 = 245 x 1 + 44
We consider the new divisor 245 and the new remainder 44,and apply the division lemma to get
245 = 44 x 5 + 25
We consider the new divisor 44 and the new remainder 25,and apply the division lemma to get
44 = 25 x 1 + 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 5359 and 1690 is 1
Notice that 1 = HCF(6,1) = HCF(19,6) = HCF(25,19) = HCF(44,25) = HCF(245,44) = HCF(289,245) = HCF(1690,289) = HCF(5359,1690) .
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Frequently Asked Questions on HCF of 5359, 1690 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 5359, 1690?
Answer: HCF of 5359, 1690 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 5359, 1690 using Euclid's Algorithm?
Answer: For arbitrary numbers 5359, 1690 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.