Highest Common Factor of 772, 4763, 9693 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 772, 4763, 9693 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 772, 4763, 9693 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 772, 4763, 9693 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 772, 4763, 9693 is 1.
HCF(772, 4763, 9693) = 1
HCF of 772, 4763, 9693 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 772, 4763, 9693 is 1.
Highest Common Factor of 772,4763,9693 is 1
Step 1: Since 4763 > 772, we apply the division lemma to 4763 and 772, to get
4763 = 772 x 6 + 131
Step 2: Since the reminder 772 ≠ 0, we apply division lemma to 131 and 772, to get
772 = 131 x 5 + 117
Step 3: We consider the new divisor 131 and the new remainder 117, and apply the division lemma to get
131 = 117 x 1 + 14
We consider the new divisor 117 and the new remainder 14,and apply the division lemma to get
117 = 14 x 8 + 5
We consider the new divisor 14 and the new remainder 5,and apply the division lemma to get
14 = 5 x 2 + 4
We consider the new divisor 5 and the new remainder 4,and apply the division lemma to get
5 = 4 x 1 + 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 772 and 4763 is 1
Notice that 1 = HCF(4,1) = HCF(5,4) = HCF(14,5) = HCF(117,14) = HCF(131,117) = HCF(772,131) = HCF(4763,772) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 9693 > 1, we apply the division lemma to 9693 and 1, to get
9693 = 1 x 9693 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 9693 is 1
Notice that 1 = HCF(9693,1) .
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Frequently Asked Questions on HCF of 772, 4763, 9693 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 772, 4763, 9693?
Answer: HCF of 772, 4763, 9693 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 772, 4763, 9693 using Euclid's Algorithm?
Answer: For arbitrary numbers 772, 4763, 9693 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.