Highest Common Factor of 9619, 4946, 80651 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 9619, 4946, 80651 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 9619, 4946, 80651 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 9619, 4946, 80651 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 9619, 4946, 80651 is 1.
HCF(9619, 4946, 80651) = 1
HCF of 9619, 4946, 80651 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 9619, 4946, 80651 is 1.
Highest Common Factor of 9619,4946,80651 is 1
Step 1: Since 9619 > 4946, we apply the division lemma to 9619 and 4946, to get
9619 = 4946 x 1 + 4673
Step 2: Since the reminder 4946 ≠ 0, we apply division lemma to 4673 and 4946, to get
4946 = 4673 x 1 + 273
Step 3: We consider the new divisor 4673 and the new remainder 273, and apply the division lemma to get
4673 = 273 x 17 + 32
We consider the new divisor 273 and the new remainder 32,and apply the division lemma to get
273 = 32 x 8 + 17
We consider the new divisor 32 and the new remainder 17,and apply the division lemma to get
32 = 17 x 1 + 15
We consider the new divisor 17 and the new remainder 15,and apply the division lemma to get
17 = 15 x 1 + 2
We consider the new divisor 15 and the new remainder 2,and apply the division lemma to get
15 = 2 x 7 + 1
We consider the new divisor 2 and the new remainder 1,and apply the division lemma to get
2 = 1 x 2 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 9619 and 4946 is 1
Notice that 1 = HCF(2,1) = HCF(15,2) = HCF(17,15) = HCF(32,17) = HCF(273,32) = HCF(4673,273) = HCF(4946,4673) = HCF(9619,4946) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 80651 > 1, we apply the division lemma to 80651 and 1, to get
80651 = 1 x 80651 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 80651 is 1
Notice that 1 = HCF(80651,1) .
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Frequently Asked Questions on HCF of 9619, 4946, 80651 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 9619, 4946, 80651?
Answer: HCF of 9619, 4946, 80651 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 9619, 4946, 80651 using Euclid's Algorithm?
Answer: For arbitrary numbers 9619, 4946, 80651 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.
