Highest Common Factor of 1501, 3966 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 1501, 3966 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 1501, 3966 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 1501, 3966 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 1501, 3966 is 1.
HCF(1501, 3966) = 1
HCF of 1501, 3966 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 1501, 3966 is 1.
Highest Common Factor of 1501,3966 is 1
Step 1: Since 3966 > 1501, we apply the division lemma to 3966 and 1501, to get
3966 = 1501 x 2 + 964
Step 2: Since the reminder 1501 ≠ 0, we apply division lemma to 964 and 1501, to get
1501 = 964 x 1 + 537
Step 3: We consider the new divisor 964 and the new remainder 537, and apply the division lemma to get
964 = 537 x 1 + 427
We consider the new divisor 537 and the new remainder 427,and apply the division lemma to get
537 = 427 x 1 + 110
We consider the new divisor 427 and the new remainder 110,and apply the division lemma to get
427 = 110 x 3 + 97
We consider the new divisor 110 and the new remainder 97,and apply the division lemma to get
110 = 97 x 1 + 13
We consider the new divisor 97 and the new remainder 13,and apply the division lemma to get
97 = 13 x 7 + 6
We consider the new divisor 13 and the new remainder 6,and apply the division lemma to get
13 = 6 x 2 + 1
We consider the new divisor 6 and the new remainder 1,and apply the division lemma to get
6 = 1 x 6 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1501 and 3966 is 1
Notice that 1 = HCF(6,1) = HCF(13,6) = HCF(97,13) = HCF(110,97) = HCF(427,110) = HCF(537,427) = HCF(964,537) = HCF(1501,964) = HCF(3966,1501) .
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Frequently Asked Questions on HCF of 1501, 3966 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 1501, 3966?
Answer: HCF of 1501, 3966 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 1501, 3966 using Euclid's Algorithm?
Answer: For arbitrary numbers 1501, 3966 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.