Highest Common Factor of 4066, 5967 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 4066, 5967 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 4066, 5967 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 4066, 5967 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 4066, 5967 is 1.
HCF(4066, 5967) = 1
HCF of 4066, 5967 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 4066, 5967 is 1.
Highest Common Factor of 4066,5967 is 1
Step 1: Since 5967 > 4066, we apply the division lemma to 5967 and 4066, to get
5967 = 4066 x 1 + 1901
Step 2: Since the reminder 4066 ≠ 0, we apply division lemma to 1901 and 4066, to get
4066 = 1901 x 2 + 264
Step 3: We consider the new divisor 1901 and the new remainder 264, and apply the division lemma to get
1901 = 264 x 7 + 53
We consider the new divisor 264 and the new remainder 53,and apply the division lemma to get
264 = 53 x 4 + 52
We consider the new divisor 53 and the new remainder 52,and apply the division lemma to get
53 = 52 x 1 + 1
We consider the new divisor 52 and the new remainder 1,and apply the division lemma to get
52 = 1 x 52 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 4066 and 5967 is 1
Notice that 1 = HCF(52,1) = HCF(53,52) = HCF(264,53) = HCF(1901,264) = HCF(4066,1901) = HCF(5967,4066) .
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Frequently Asked Questions on HCF of 4066, 5967 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 4066, 5967?
Answer: HCF of 4066, 5967 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 4066, 5967 using Euclid's Algorithm?
Answer: For arbitrary numbers 4066, 5967 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.