Highest Common Factor of 1401, 3873 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 1401, 3873 i.e. 3 the largest integer that leaves a remainder zero for all numbers.
HCF of 1401, 3873 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 1401, 3873 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 1401, 3873 is 3.
HCF(1401, 3873) = 3
HCF of 1401, 3873 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 1401, 3873 is 3.
Highest Common Factor of 1401,3873 is 3
Step 1: Since 3873 > 1401, we apply the division lemma to 3873 and 1401, to get
3873 = 1401 x 2 + 1071
Step 2: Since the reminder 1401 ≠ 0, we apply division lemma to 1071 and 1401, to get
1401 = 1071 x 1 + 330
Step 3: We consider the new divisor 1071 and the new remainder 330, and apply the division lemma to get
1071 = 330 x 3 + 81
We consider the new divisor 330 and the new remainder 81,and apply the division lemma to get
330 = 81 x 4 + 6
We consider the new divisor 81 and the new remainder 6,and apply the division lemma to get
81 = 6 x 13 + 3
We consider the new divisor 6 and the new remainder 3,and apply the division lemma to get
6 = 3 x 2 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 3, the HCF of 1401 and 3873 is 3
Notice that 3 = HCF(6,3) = HCF(81,6) = HCF(330,81) = HCF(1071,330) = HCF(1401,1071) = HCF(3873,1401) .
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Frequently Asked Questions on HCF of 1401, 3873 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 1401, 3873?
Answer: HCF of 1401, 3873 is 3 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 1401, 3873 using Euclid's Algorithm?
Answer: For arbitrary numbers 1401, 3873 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.