Highest Common Factor of 6284, 2205 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 6284, 2205 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 6284, 2205 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 6284, 2205 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 6284, 2205 is 1.
HCF(6284, 2205) = 1
HCF of 6284, 2205 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 6284, 2205 is 1.
Highest Common Factor of 6284,2205 is 1
Step 1: Since 6284 > 2205, we apply the division lemma to 6284 and 2205, to get
6284 = 2205 x 2 + 1874
Step 2: Since the reminder 2205 ≠ 0, we apply division lemma to 1874 and 2205, to get
2205 = 1874 x 1 + 331
Step 3: We consider the new divisor 1874 and the new remainder 331, and apply the division lemma to get
1874 = 331 x 5 + 219
We consider the new divisor 331 and the new remainder 219,and apply the division lemma to get
331 = 219 x 1 + 112
We consider the new divisor 219 and the new remainder 112,and apply the division lemma to get
219 = 112 x 1 + 107
We consider the new divisor 112 and the new remainder 107,and apply the division lemma to get
112 = 107 x 1 + 5
We consider the new divisor 107 and the new remainder 5,and apply the division lemma to get
107 = 5 x 21 + 2
We consider the new divisor 5 and the new remainder 2,and apply the division lemma to get
5 = 2 x 2 + 1
We consider the new divisor 2 and the new remainder 1,and apply the division lemma to get
2 = 1 x 2 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 6284 and 2205 is 1
Notice that 1 = HCF(2,1) = HCF(5,2) = HCF(107,5) = HCF(112,107) = HCF(219,112) = HCF(331,219) = HCF(1874,331) = HCF(2205,1874) = HCF(6284,2205) .
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Frequently Asked Questions on HCF of 6284, 2205 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 6284, 2205?
Answer: HCF of 6284, 2205 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 6284, 2205 using Euclid's Algorithm?
Answer: For arbitrary numbers 6284, 2205 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.
