Highest Common Factor of 3307, 5628 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 3307, 5628 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 3307, 5628 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 3307, 5628 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 3307, 5628 is 1.
HCF(3307, 5628) = 1
HCF of 3307, 5628 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 3307, 5628 is 1.
Highest Common Factor of 3307,5628 is 1
Step 1: Since 5628 > 3307, we apply the division lemma to 5628 and 3307, to get
5628 = 3307 x 1 + 2321
Step 2: Since the reminder 3307 ≠ 0, we apply division lemma to 2321 and 3307, to get
3307 = 2321 x 1 + 986
Step 3: We consider the new divisor 2321 and the new remainder 986, and apply the division lemma to get
2321 = 986 x 2 + 349
We consider the new divisor 986 and the new remainder 349,and apply the division lemma to get
986 = 349 x 2 + 288
We consider the new divisor 349 and the new remainder 288,and apply the division lemma to get
349 = 288 x 1 + 61
We consider the new divisor 288 and the new remainder 61,and apply the division lemma to get
288 = 61 x 4 + 44
We consider the new divisor 61 and the new remainder 44,and apply the division lemma to get
61 = 44 x 1 + 17
We consider the new divisor 44 and the new remainder 17,and apply the division lemma to get
44 = 17 x 2 + 10
We consider the new divisor 17 and the new remainder 10,and apply the division lemma to get
17 = 10 x 1 + 7
We consider the new divisor 10 and the new remainder 7,and apply the division lemma to get
10 = 7 x 1 + 3
We consider the new divisor 7 and the new remainder 3,and apply the division lemma to get
7 = 3 x 2 + 1
We consider the new divisor 3 and the new remainder 1,and apply the division lemma to get
3 = 1 x 3 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 3307 and 5628 is 1
Notice that 1 = HCF(3,1) = HCF(7,3) = HCF(10,7) = HCF(17,10) = HCF(44,17) = HCF(61,44) = HCF(288,61) = HCF(349,288) = HCF(986,349) = HCF(2321,986) = HCF(3307,2321) = HCF(5628,3307) .
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Frequently Asked Questions on HCF of 3307, 5628 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 3307, 5628?
Answer: HCF of 3307, 5628 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 3307, 5628 using Euclid's Algorithm?
Answer: For arbitrary numbers 3307, 5628 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.