Highest Common Factor of 3284, 3630 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 3284, 3630 i.e. 2 the largest integer that leaves a remainder zero for all numbers.
HCF of 3284, 3630 is 2 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 3284, 3630 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 3284, 3630 is 2.
HCF(3284, 3630) = 2
HCF of 3284, 3630 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 3284, 3630 is 2.
Highest Common Factor of 3284,3630 is 2
Step 1: Since 3630 > 3284, we apply the division lemma to 3630 and 3284, to get
3630 = 3284 x 1 + 346
Step 2: Since the reminder 3284 ≠ 0, we apply division lemma to 346 and 3284, to get
3284 = 346 x 9 + 170
Step 3: We consider the new divisor 346 and the new remainder 170, and apply the division lemma to get
346 = 170 x 2 + 6
We consider the new divisor 170 and the new remainder 6,and apply the division lemma to get
170 = 6 x 28 + 2
We consider the new divisor 6 and the new remainder 2,and apply the division lemma to get
6 = 2 x 3 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 3284 and 3630 is 2
Notice that 2 = HCF(6,2) = HCF(170,6) = HCF(346,170) = HCF(3284,346) = HCF(3630,3284) .
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Frequently Asked Questions on HCF of 3284, 3630 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 3284, 3630?
Answer: HCF of 3284, 3630 is 2 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 3284, 3630 using Euclid's Algorithm?
Answer: For arbitrary numbers 3284, 3630 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.