Highest Common Factor of 9617, 1548 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 9617, 1548 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 9617, 1548 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 9617, 1548 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 9617, 1548 is 1.
HCF(9617, 1548) = 1
HCF of 9617, 1548 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 9617, 1548 is 1.
Highest Common Factor of 9617,1548 is 1
Step 1: Since 9617 > 1548, we apply the division lemma to 9617 and 1548, to get
9617 = 1548 x 6 + 329
Step 2: Since the reminder 1548 ≠ 0, we apply division lemma to 329 and 1548, to get
1548 = 329 x 4 + 232
Step 3: We consider the new divisor 329 and the new remainder 232, and apply the division lemma to get
329 = 232 x 1 + 97
We consider the new divisor 232 and the new remainder 97,and apply the division lemma to get
232 = 97 x 2 + 38
We consider the new divisor 97 and the new remainder 38,and apply the division lemma to get
97 = 38 x 2 + 21
We consider the new divisor 38 and the new remainder 21,and apply the division lemma to get
38 = 21 x 1 + 17
We consider the new divisor 21 and the new remainder 17,and apply the division lemma to get
21 = 17 x 1 + 4
We consider the new divisor 17 and the new remainder 4,and apply the division lemma to get
17 = 4 x 4 + 1
We consider the new divisor 4 and the new remainder 1,and apply the division lemma to get
4 = 1 x 4 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 9617 and 1548 is 1
Notice that 1 = HCF(4,1) = HCF(17,4) = HCF(21,17) = HCF(38,21) = HCF(97,38) = HCF(232,97) = HCF(329,232) = HCF(1548,329) = HCF(9617,1548) .
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Frequently Asked Questions on HCF of 9617, 1548 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 9617, 1548?
Answer: HCF of 9617, 1548 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 9617, 1548 using Euclid's Algorithm?
Answer: For arbitrary numbers 9617, 1548 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.