Highest Common Factor of 3390, 5866 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 3390, 5866 i.e. 2 the largest integer that leaves a remainder zero for all numbers.
HCF of 3390, 5866 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 3390, 5866 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 3390, 5866 is 2.
HCF(3390, 5866) = 2
HCF of 3390, 5866 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 3390, 5866 is 2.
Highest Common Factor of 3390,5866 is 2
Step 1: Since 5866 > 3390, we apply the division lemma to 5866 and 3390, to get
5866 = 3390 x 1 + 2476
Step 2: Since the reminder 3390 ≠ 0, we apply division lemma to 2476 and 3390, to get
3390 = 2476 x 1 + 914
Step 3: We consider the new divisor 2476 and the new remainder 914, and apply the division lemma to get
2476 = 914 x 2 + 648
We consider the new divisor 914 and the new remainder 648,and apply the division lemma to get
914 = 648 x 1 + 266
We consider the new divisor 648 and the new remainder 266,and apply the division lemma to get
648 = 266 x 2 + 116
We consider the new divisor 266 and the new remainder 116,and apply the division lemma to get
266 = 116 x 2 + 34
We consider the new divisor 116 and the new remainder 34,and apply the division lemma to get
116 = 34 x 3 + 14
We consider the new divisor 34 and the new remainder 14,and apply the division lemma to get
34 = 14 x 2 + 6
We consider the new divisor 14 and the new remainder 6,and apply the division lemma to get
14 = 6 x 2 + 2
We consider the new divisor 6 and the new remainder 2,and apply the division lemma to get
6 = 2 x 3 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 3390 and 5866 is 2
Notice that 2 = HCF(6,2) = HCF(14,6) = HCF(34,14) = HCF(116,34) = HCF(266,116) = HCF(648,266) = HCF(914,648) = HCF(2476,914) = HCF(3390,2476) = HCF(5866,3390) .
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Frequently Asked Questions on HCF of 3390, 5866 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 3390, 5866?
Answer: HCF of 3390, 5866 is 2 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 3390, 5866 using Euclid's Algorithm?
Answer: For arbitrary numbers 3390, 5866 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.