Highest Common Factor of 630, 8603, 3830 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 630, 8603, 3830 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 630, 8603, 3830 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 630, 8603, 3830 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 630, 8603, 3830 is 1.
HCF(630, 8603, 3830) = 1
HCF of 630, 8603, 3830 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 630, 8603, 3830 is 1.
Highest Common Factor of 630,8603,3830 is 1
Step 1: Since 8603 > 630, we apply the division lemma to 8603 and 630, to get
8603 = 630 x 13 + 413
Step 2: Since the reminder 630 ≠ 0, we apply division lemma to 413 and 630, to get
630 = 413 x 1 + 217
Step 3: We consider the new divisor 413 and the new remainder 217, and apply the division lemma to get
413 = 217 x 1 + 196
We consider the new divisor 217 and the new remainder 196,and apply the division lemma to get
217 = 196 x 1 + 21
We consider the new divisor 196 and the new remainder 21,and apply the division lemma to get
196 = 21 x 9 + 7
We consider the new divisor 21 and the new remainder 7,and apply the division lemma to get
21 = 7 x 3 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 7, the HCF of 630 and 8603 is 7
Notice that 7 = HCF(21,7) = HCF(196,21) = HCF(217,196) = HCF(413,217) = HCF(630,413) = HCF(8603,630) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 3830 > 7, we apply the division lemma to 3830 and 7, to get
3830 = 7 x 547 + 1
Step 2: Since the reminder 7 ≠ 0, we apply division lemma to 1 and 7, to get
7 = 1 x 7 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 7 and 3830 is 1
Notice that 1 = HCF(7,1) = HCF(3830,7) .
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Frequently Asked Questions on HCF of 630, 8603, 3830 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 630, 8603, 3830?
Answer: HCF of 630, 8603, 3830 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 630, 8603, 3830 using Euclid's Algorithm?
Answer: For arbitrary numbers 630, 8603, 3830 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.
