Highest Common Factor of 5718, 9769 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 5718, 9769 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 5718, 9769 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 5718, 9769 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 5718, 9769 is 1.
HCF(5718, 9769) = 1
HCF of 5718, 9769 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 5718, 9769 is 1.
Highest Common Factor of 5718,9769 is 1
Step 1: Since 9769 > 5718, we apply the division lemma to 9769 and 5718, to get
9769 = 5718 x 1 + 4051
Step 2: Since the reminder 5718 ≠ 0, we apply division lemma to 4051 and 5718, to get
5718 = 4051 x 1 + 1667
Step 3: We consider the new divisor 4051 and the new remainder 1667, and apply the division lemma to get
4051 = 1667 x 2 + 717
We consider the new divisor 1667 and the new remainder 717,and apply the division lemma to get
1667 = 717 x 2 + 233
We consider the new divisor 717 and the new remainder 233,and apply the division lemma to get
717 = 233 x 3 + 18
We consider the new divisor 233 and the new remainder 18,and apply the division lemma to get
233 = 18 x 12 + 17
We consider the new divisor 18 and the new remainder 17,and apply the division lemma to get
18 = 17 x 1 + 1
We consider the new divisor 17 and the new remainder 1,and apply the division lemma to get
17 = 1 x 17 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 5718 and 9769 is 1
Notice that 1 = HCF(17,1) = HCF(18,17) = HCF(233,18) = HCF(717,233) = HCF(1667,717) = HCF(4051,1667) = HCF(5718,4051) = HCF(9769,5718) .
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Frequently Asked Questions on HCF of 5718, 9769 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 5718, 9769?
Answer: HCF of 5718, 9769 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 5718, 9769 using Euclid's Algorithm?
Answer: For arbitrary numbers 5718, 9769 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.