Highest Common Factor of 814, 473, 627 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 814, 473, 627 i.e. 11 the largest integer that leaves a remainder zero for all numbers.
HCF of 814, 473, 627 is 11 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 814, 473, 627 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 814, 473, 627 is 11.
HCF(814, 473, 627) = 11
HCF of 814, 473, 627 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 814, 473, 627 is 11.
Highest Common Factor of 814,473,627 is 11
Step 1: Since 814 > 473, we apply the division lemma to 814 and 473, to get
814 = 473 x 1 + 341
Step 2: Since the reminder 473 ≠ 0, we apply division lemma to 341 and 473, to get
473 = 341 x 1 + 132
Step 3: We consider the new divisor 341 and the new remainder 132, and apply the division lemma to get
341 = 132 x 2 + 77
We consider the new divisor 132 and the new remainder 77,and apply the division lemma to get
132 = 77 x 1 + 55
We consider the new divisor 77 and the new remainder 55,and apply the division lemma to get
77 = 55 x 1 + 22
We consider the new divisor 55 and the new remainder 22,and apply the division lemma to get
55 = 22 x 2 + 11
We consider the new divisor 22 and the new remainder 11,and apply the division lemma to get
22 = 11 x 2 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 11, the HCF of 814 and 473 is 11
Notice that 11 = HCF(22,11) = HCF(55,22) = HCF(77,55) = HCF(132,77) = HCF(341,132) = HCF(473,341) = HCF(814,473) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 627 > 11, we apply the division lemma to 627 and 11, to get
627 = 11 x 57 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 11, the HCF of 11 and 627 is 11
Notice that 11 = HCF(627,11) .
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Frequently Asked Questions on HCF of 814, 473, 627 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 814, 473, 627?
Answer: HCF of 814, 473, 627 is 11 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 814, 473, 627 using Euclid's Algorithm?
Answer: For arbitrary numbers 814, 473, 627 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.