Highest Common Factor of 4627, 9355, 20493 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 4627, 9355, 20493 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 4627, 9355, 20493 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 4627, 9355, 20493 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 4627, 9355, 20493 is 1.
HCF(4627, 9355, 20493) = 1
HCF of 4627, 9355, 20493 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 4627, 9355, 20493 is 1.
Highest Common Factor of 4627,9355,20493 is 1
Step 1: Since 9355 > 4627, we apply the division lemma to 9355 and 4627, to get
9355 = 4627 x 2 + 101
Step 2: Since the reminder 4627 ≠ 0, we apply division lemma to 101 and 4627, to get
4627 = 101 x 45 + 82
Step 3: We consider the new divisor 101 and the new remainder 82, and apply the division lemma to get
101 = 82 x 1 + 19
We consider the new divisor 82 and the new remainder 19,and apply the division lemma to get
82 = 19 x 4 + 6
We consider the new divisor 19 and the new remainder 6,and apply the division lemma to get
19 = 6 x 3 + 1
We consider the new divisor 6 and the new remainder 1,and apply the division lemma to get
6 = 1 x 6 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 4627 and 9355 is 1
Notice that 1 = HCF(6,1) = HCF(19,6) = HCF(82,19) = HCF(101,82) = HCF(4627,101) = HCF(9355,4627) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 20493 > 1, we apply the division lemma to 20493 and 1, to get
20493 = 1 x 20493 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 20493 is 1
Notice that 1 = HCF(20493,1) .
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Frequently Asked Questions on HCF of 4627, 9355, 20493 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 4627, 9355, 20493?
Answer: HCF of 4627, 9355, 20493 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 4627, 9355, 20493 using Euclid's Algorithm?
Answer: For arbitrary numbers 4627, 9355, 20493 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.