Highest Common Factor of 457, 626, 18 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 457, 626, 18 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 457, 626, 18 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 457, 626, 18 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 457, 626, 18 is 1.
HCF(457, 626, 18) = 1
HCF of 457, 626, 18 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 457, 626, 18 is 1.
Highest Common Factor of 457,626,18 is 1
Step 1: Since 626 > 457, we apply the division lemma to 626 and 457, to get
626 = 457 x 1 + 169
Step 2: Since the reminder 457 ≠ 0, we apply division lemma to 169 and 457, to get
457 = 169 x 2 + 119
Step 3: We consider the new divisor 169 and the new remainder 119, and apply the division lemma to get
169 = 119 x 1 + 50
We consider the new divisor 119 and the new remainder 50,and apply the division lemma to get
119 = 50 x 2 + 19
We consider the new divisor 50 and the new remainder 19,and apply the division lemma to get
50 = 19 x 2 + 12
We consider the new divisor 19 and the new remainder 12,and apply the division lemma to get
19 = 12 x 1 + 7
We consider the new divisor 12 and the new remainder 7,and apply the division lemma to get
12 = 7 x 1 + 5
We consider the new divisor 7 and the new remainder 5,and apply the division lemma to get
7 = 5 x 1 + 2
We consider the new divisor 5 and the new remainder 2,and apply the division lemma to get
5 = 2 x 2 + 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 457 and 626 is 1
Notice that 1 = HCF(2,1) = HCF(5,2) = HCF(7,5) = HCF(12,7) = HCF(19,12) = HCF(50,19) = HCF(119,50) = HCF(169,119) = HCF(457,169) = HCF(626,457) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 18 > 1, we apply the division lemma to 18 and 1, to get
18 = 1 x 18 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 18 is 1
Notice that 1 = HCF(18,1) .
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Frequently Asked Questions on HCF of 457, 626, 18 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 457, 626, 18?
Answer: HCF of 457, 626, 18 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 457, 626, 18 using Euclid's Algorithm?
Answer: For arbitrary numbers 457, 626, 18 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.