Highest Common Factor of 2466, 4011 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 2466, 4011 i.e. 3 the largest integer that leaves a remainder zero for all numbers.
HCF of 2466, 4011 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 2466, 4011 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 2466, 4011 is 3.
HCF(2466, 4011) = 3
HCF of 2466, 4011 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 2466, 4011 is 3.
Highest Common Factor of 2466,4011 is 3
Step 1: Since 4011 > 2466, we apply the division lemma to 4011 and 2466, to get
4011 = 2466 x 1 + 1545
Step 2: Since the reminder 2466 ≠ 0, we apply division lemma to 1545 and 2466, to get
2466 = 1545 x 1 + 921
Step 3: We consider the new divisor 1545 and the new remainder 921, and apply the division lemma to get
1545 = 921 x 1 + 624
We consider the new divisor 921 and the new remainder 624,and apply the division lemma to get
921 = 624 x 1 + 297
We consider the new divisor 624 and the new remainder 297,and apply the division lemma to get
624 = 297 x 2 + 30
We consider the new divisor 297 and the new remainder 30,and apply the division lemma to get
297 = 30 x 9 + 27
We consider the new divisor 30 and the new remainder 27,and apply the division lemma to get
30 = 27 x 1 + 3
We consider the new divisor 27 and the new remainder 3,and apply the division lemma to get
27 = 3 x 9 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 3, the HCF of 2466 and 4011 is 3
Notice that 3 = HCF(27,3) = HCF(30,27) = HCF(297,30) = HCF(624,297) = HCF(921,624) = HCF(1545,921) = HCF(2466,1545) = HCF(4011,2466) .
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Frequently Asked Questions on HCF of 2466, 4011 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 2466, 4011?
Answer: HCF of 2466, 4011 is 3 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 2466, 4011 using Euclid's Algorithm?
Answer: For arbitrary numbers 2466, 4011 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.