Highest Common Factor of 5007, 3684 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 5007, 3684 i.e. 3 the largest integer that leaves a remainder zero for all numbers.
HCF of 5007, 3684 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 5007, 3684 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 5007, 3684 is 3.
HCF(5007, 3684) = 3
HCF of 5007, 3684 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 5007, 3684 is 3.
Highest Common Factor of 5007,3684 is 3
Step 1: Since 5007 > 3684, we apply the division lemma to 5007 and 3684, to get
5007 = 3684 x 1 + 1323
Step 2: Since the reminder 3684 ≠ 0, we apply division lemma to 1323 and 3684, to get
3684 = 1323 x 2 + 1038
Step 3: We consider the new divisor 1323 and the new remainder 1038, and apply the division lemma to get
1323 = 1038 x 1 + 285
We consider the new divisor 1038 and the new remainder 285,and apply the division lemma to get
1038 = 285 x 3 + 183
We consider the new divisor 285 and the new remainder 183,and apply the division lemma to get
285 = 183 x 1 + 102
We consider the new divisor 183 and the new remainder 102,and apply the division lemma to get
183 = 102 x 1 + 81
We consider the new divisor 102 and the new remainder 81,and apply the division lemma to get
102 = 81 x 1 + 21
We consider the new divisor 81 and the new remainder 21,and apply the division lemma to get
81 = 21 x 3 + 18
We consider the new divisor 21 and the new remainder 18,and apply the division lemma to get
21 = 18 x 1 + 3
We consider the new divisor 18 and the new remainder 3,and apply the division lemma to get
18 = 3 x 6 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 3, the HCF of 5007 and 3684 is 3
Notice that 3 = HCF(18,3) = HCF(21,18) = HCF(81,21) = HCF(102,81) = HCF(183,102) = HCF(285,183) = HCF(1038,285) = HCF(1323,1038) = HCF(3684,1323) = HCF(5007,3684) .
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Frequently Asked Questions on HCF of 5007, 3684 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 5007, 3684?
Answer: HCF of 5007, 3684 is 3 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 5007, 3684 using Euclid's Algorithm?
Answer: For arbitrary numbers 5007, 3684 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.
