Highest Common Factor of 3669, 2262 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 3669, 2262 i.e. 3 the largest integer that leaves a remainder zero for all numbers.
HCF of 3669, 2262 is 3 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 3669, 2262 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 3669, 2262 is 3.
HCF(3669, 2262) = 3
HCF of 3669, 2262 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 3669, 2262 is 3.
Highest Common Factor of 3669,2262 is 3
Step 1: Since 3669 > 2262, we apply the division lemma to 3669 and 2262, to get
3669 = 2262 x 1 + 1407
Step 2: Since the reminder 2262 ≠ 0, we apply division lemma to 1407 and 2262, to get
2262 = 1407 x 1 + 855
Step 3: We consider the new divisor 1407 and the new remainder 855, and apply the division lemma to get
1407 = 855 x 1 + 552
We consider the new divisor 855 and the new remainder 552,and apply the division lemma to get
855 = 552 x 1 + 303
We consider the new divisor 552 and the new remainder 303,and apply the division lemma to get
552 = 303 x 1 + 249
We consider the new divisor 303 and the new remainder 249,and apply the division lemma to get
303 = 249 x 1 + 54
We consider the new divisor 249 and the new remainder 54,and apply the division lemma to get
249 = 54 x 4 + 33
We consider the new divisor 54 and the new remainder 33,and apply the division lemma to get
54 = 33 x 1 + 21
We consider the new divisor 33 and the new remainder 21,and apply the division lemma to get
33 = 21 x 1 + 12
We consider the new divisor 21 and the new remainder 12,and apply the division lemma to get
21 = 12 x 1 + 9
We consider the new divisor 12 and the new remainder 9,and apply the division lemma to get
12 = 9 x 1 + 3
We consider the new divisor 9 and the new remainder 3,and apply the division lemma to get
9 = 3 x 3 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 3, the HCF of 3669 and 2262 is 3
Notice that 3 = HCF(9,3) = HCF(12,9) = HCF(21,12) = HCF(33,21) = HCF(54,33) = HCF(249,54) = HCF(303,249) = HCF(552,303) = HCF(855,552) = HCF(1407,855) = HCF(2262,1407) = HCF(3669,2262) .
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Frequently Asked Questions on HCF of 3669, 2262 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 3669, 2262?
Answer: HCF of 3669, 2262 is 3 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 3669, 2262 using Euclid's Algorithm?
Answer: For arbitrary numbers 3669, 2262 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.