Highest Common Factor of 2883, 3645 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 2883, 3645 i.e. 3 the largest integer that leaves a remainder zero for all numbers.
HCF of 2883, 3645 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 2883, 3645 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 2883, 3645 is 3.
HCF(2883, 3645) = 3
HCF of 2883, 3645 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 2883, 3645 is 3.
Highest Common Factor of 2883,3645 is 3
Step 1: Since 3645 > 2883, we apply the division lemma to 3645 and 2883, to get
3645 = 2883 x 1 + 762
Step 2: Since the reminder 2883 ≠ 0, we apply division lemma to 762 and 2883, to get
2883 = 762 x 3 + 597
Step 3: We consider the new divisor 762 and the new remainder 597, and apply the division lemma to get
762 = 597 x 1 + 165
We consider the new divisor 597 and the new remainder 165,and apply the division lemma to get
597 = 165 x 3 + 102
We consider the new divisor 165 and the new remainder 102,and apply the division lemma to get
165 = 102 x 1 + 63
We consider the new divisor 102 and the new remainder 63,and apply the division lemma to get
102 = 63 x 1 + 39
We consider the new divisor 63 and the new remainder 39,and apply the division lemma to get
63 = 39 x 1 + 24
We consider the new divisor 39 and the new remainder 24,and apply the division lemma to get
39 = 24 x 1 + 15
We consider the new divisor 24 and the new remainder 15,and apply the division lemma to get
24 = 15 x 1 + 9
We consider the new divisor 15 and the new remainder 9,and apply the division lemma to get
15 = 9 x 1 + 6
We consider the new divisor 9 and the new remainder 6,and apply the division lemma to get
9 = 6 x 1 + 3
We consider the new divisor 6 and the new remainder 3,and apply the division lemma to get
6 = 3 x 2 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 3, the HCF of 2883 and 3645 is 3
Notice that 3 = HCF(6,3) = HCF(9,6) = HCF(15,9) = HCF(24,15) = HCF(39,24) = HCF(63,39) = HCF(102,63) = HCF(165,102) = HCF(597,165) = HCF(762,597) = HCF(2883,762) = HCF(3645,2883) .
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Frequently Asked Questions on HCF of 2883, 3645 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 2883, 3645?
Answer: HCF of 2883, 3645 is 3 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 2883, 3645 using Euclid's Algorithm?
Answer: For arbitrary numbers 2883, 3645 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.