Highest Common Factor of 830, 477, 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 830, 477, 627 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 830, 477, 627 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 830, 477, 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 830, 477, 627 is 1.
HCF(830, 477, 627) = 1
HCF of 830, 477, 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 830, 477, 627 is 1.
Highest Common Factor of 830,477,627 is 1
Step 1: Since 830 > 477, we apply the division lemma to 830 and 477, to get
830 = 477 x 1 + 353
Step 2: Since the reminder 477 ≠ 0, we apply division lemma to 353 and 477, to get
477 = 353 x 1 + 124
Step 3: We consider the new divisor 353 and the new remainder 124, and apply the division lemma to get
353 = 124 x 2 + 105
We consider the new divisor 124 and the new remainder 105,and apply the division lemma to get
124 = 105 x 1 + 19
We consider the new divisor 105 and the new remainder 19,and apply the division lemma to get
105 = 19 x 5 + 10
We consider the new divisor 19 and the new remainder 10,and apply the division lemma to get
19 = 10 x 1 + 9
We consider the new divisor 10 and the new remainder 9,and apply the division lemma to get
10 = 9 x 1 + 1
We consider the new divisor 9 and the new remainder 1,and apply the division lemma to get
9 = 1 x 9 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 830 and 477 is 1
Notice that 1 = HCF(9,1) = HCF(10,9) = HCF(19,10) = HCF(105,19) = HCF(124,105) = HCF(353,124) = HCF(477,353) = HCF(830,477) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 627 > 1, we apply the division lemma to 627 and 1, to get
627 = 1 x 627 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 627 is 1
Notice that 1 = HCF(627,1) .
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Frequently Asked Questions on HCF of 830, 477, 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 830, 477, 627?
Answer: HCF of 830, 477, 627 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 830, 477, 627 using Euclid's Algorithm?
Answer: For arbitrary numbers 830, 477, 627 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.