Highest Common Factor of 1739, 9668 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 1739, 9668 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 1739, 9668 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 1739, 9668 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 1739, 9668 is 1.
HCF(1739, 9668) = 1
HCF of 1739, 9668 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 1739, 9668 is 1.
Highest Common Factor of 1739,9668 is 1
Step 1: Since 9668 > 1739, we apply the division lemma to 9668 and 1739, to get
9668 = 1739 x 5 + 973
Step 2: Since the reminder 1739 ≠ 0, we apply division lemma to 973 and 1739, to get
1739 = 973 x 1 + 766
Step 3: We consider the new divisor 973 and the new remainder 766, and apply the division lemma to get
973 = 766 x 1 + 207
We consider the new divisor 766 and the new remainder 207,and apply the division lemma to get
766 = 207 x 3 + 145
We consider the new divisor 207 and the new remainder 145,and apply the division lemma to get
207 = 145 x 1 + 62
We consider the new divisor 145 and the new remainder 62,and apply the division lemma to get
145 = 62 x 2 + 21
We consider the new divisor 62 and the new remainder 21,and apply the division lemma to get
62 = 21 x 2 + 20
We consider the new divisor 21 and the new remainder 20,and apply the division lemma to get
21 = 20 x 1 + 1
We consider the new divisor 20 and the new remainder 1,and apply the division lemma to get
20 = 1 x 20 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1739 and 9668 is 1
Notice that 1 = HCF(20,1) = HCF(21,20) = HCF(62,21) = HCF(145,62) = HCF(207,145) = HCF(766,207) = HCF(973,766) = HCF(1739,973) = HCF(9668,1739) .
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Frequently Asked Questions on HCF of 1739, 9668 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 1739, 9668?
Answer: HCF of 1739, 9668 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 1739, 9668 using Euclid's Algorithm?
Answer: For arbitrary numbers 1739, 9668 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.