Highest Common Factor of 1866, 4064 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 1866, 4064 i.e. 2 the largest integer that leaves a remainder zero for all numbers.
HCF of 1866, 4064 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 1866, 4064 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 1866, 4064 is 2.
HCF(1866, 4064) = 2
HCF of 1866, 4064 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 1866, 4064 is 2.
Highest Common Factor of 1866,4064 is 2
Step 1: Since 4064 > 1866, we apply the division lemma to 4064 and 1866, to get
4064 = 1866 x 2 + 332
Step 2: Since the reminder 1866 ≠ 0, we apply division lemma to 332 and 1866, to get
1866 = 332 x 5 + 206
Step 3: We consider the new divisor 332 and the new remainder 206, and apply the division lemma to get
332 = 206 x 1 + 126
We consider the new divisor 206 and the new remainder 126,and apply the division lemma to get
206 = 126 x 1 + 80
We consider the new divisor 126 and the new remainder 80,and apply the division lemma to get
126 = 80 x 1 + 46
We consider the new divisor 80 and the new remainder 46,and apply the division lemma to get
80 = 46 x 1 + 34
We consider the new divisor 46 and the new remainder 34,and apply the division lemma to get
46 = 34 x 1 + 12
We consider the new divisor 34 and the new remainder 12,and apply the division lemma to get
34 = 12 x 2 + 10
We consider the new divisor 12 and the new remainder 10,and apply the division lemma to get
12 = 10 x 1 + 2
We consider the new divisor 10 and the new remainder 2,and apply the division lemma to get
10 = 2 x 5 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 1866 and 4064 is 2
Notice that 2 = HCF(10,2) = HCF(12,10) = HCF(34,12) = HCF(46,34) = HCF(80,46) = HCF(126,80) = HCF(206,126) = HCF(332,206) = HCF(1866,332) = HCF(4064,1866) .
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Frequently Asked Questions on HCF of 1866, 4064 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 1866, 4064?
Answer: HCF of 1866, 4064 is 2 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 1866, 4064 using Euclid's Algorithm?
Answer: For arbitrary numbers 1866, 4064 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.