Highest Common Factor of 3322, 4636 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 3322, 4636 i.e. 2 the largest integer that leaves a remainder zero for all numbers.
HCF of 3322, 4636 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 3322, 4636 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 3322, 4636 is 2.
HCF(3322, 4636) = 2
HCF of 3322, 4636 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 3322, 4636 is 2.
Highest Common Factor of 3322,4636 is 2
Step 1: Since 4636 > 3322, we apply the division lemma to 4636 and 3322, to get
4636 = 3322 x 1 + 1314
Step 2: Since the reminder 3322 ≠ 0, we apply division lemma to 1314 and 3322, to get
3322 = 1314 x 2 + 694
Step 3: We consider the new divisor 1314 and the new remainder 694, and apply the division lemma to get
1314 = 694 x 1 + 620
We consider the new divisor 694 and the new remainder 620,and apply the division lemma to get
694 = 620 x 1 + 74
We consider the new divisor 620 and the new remainder 74,and apply the division lemma to get
620 = 74 x 8 + 28
We consider the new divisor 74 and the new remainder 28,and apply the division lemma to get
74 = 28 x 2 + 18
We consider the new divisor 28 and the new remainder 18,and apply the division lemma to get
28 = 18 x 1 + 10
We consider the new divisor 18 and the new remainder 10,and apply the division lemma to get
18 = 10 x 1 + 8
We consider the new divisor 10 and the new remainder 8,and apply the division lemma to get
10 = 8 x 1 + 2
We consider the new divisor 8 and the new remainder 2,and apply the division lemma to get
8 = 2 x 4 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 3322 and 4636 is 2
Notice that 2 = HCF(8,2) = HCF(10,8) = HCF(18,10) = HCF(28,18) = HCF(74,28) = HCF(620,74) = HCF(694,620) = HCF(1314,694) = HCF(3322,1314) = HCF(4636,3322) .
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Frequently Asked Questions on HCF of 3322, 4636 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 3322, 4636?
Answer: HCF of 3322, 4636 is 2 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 3322, 4636 using Euclid's Algorithm?
Answer: For arbitrary numbers 3322, 4636 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.