Highest Common Factor of 1652, 8717 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 1652, 8717 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 1652, 8717 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 1652, 8717 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 1652, 8717 is 1.
HCF(1652, 8717) = 1
HCF of 1652, 8717 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 1652, 8717 is 1.
Highest Common Factor of 1652,8717 is 1
Step 1: Since 8717 > 1652, we apply the division lemma to 8717 and 1652, to get
8717 = 1652 x 5 + 457
Step 2: Since the reminder 1652 ≠ 0, we apply division lemma to 457 and 1652, to get
1652 = 457 x 3 + 281
Step 3: We consider the new divisor 457 and the new remainder 281, and apply the division lemma to get
457 = 281 x 1 + 176
We consider the new divisor 281 and the new remainder 176,and apply the division lemma to get
281 = 176 x 1 + 105
We consider the new divisor 176 and the new remainder 105,and apply the division lemma to get
176 = 105 x 1 + 71
We consider the new divisor 105 and the new remainder 71,and apply the division lemma to get
105 = 71 x 1 + 34
We consider the new divisor 71 and the new remainder 34,and apply the division lemma to get
71 = 34 x 2 + 3
We consider the new divisor 34 and the new remainder 3,and apply the division lemma to get
34 = 3 x 11 + 1
We consider the new divisor 3 and the new remainder 1,and apply the division lemma to get
3 = 1 x 3 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1652 and 8717 is 1
Notice that 1 = HCF(3,1) = HCF(34,3) = HCF(71,34) = HCF(105,71) = HCF(176,105) = HCF(281,176) = HCF(457,281) = HCF(1652,457) = HCF(8717,1652) .
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Frequently Asked Questions on HCF of 1652, 8717 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 1652, 8717?
Answer: HCF of 1652, 8717 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 1652, 8717 using Euclid's Algorithm?
Answer: For arbitrary numbers 1652, 8717 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.