Highest Common Factor of 531, 3837 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 531, 3837 i.e. 3 the largest integer that leaves a remainder zero for all numbers.
HCF of 531, 3837 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 531, 3837 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 531, 3837 is 3.
HCF(531, 3837) = 3
HCF of 531, 3837 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 531, 3837 is 3.
Highest Common Factor of 531,3837 is 3
Step 1: Since 3837 > 531, we apply the division lemma to 3837 and 531, to get
3837 = 531 x 7 + 120
Step 2: Since the reminder 531 ≠ 0, we apply division lemma to 120 and 531, to get
531 = 120 x 4 + 51
Step 3: We consider the new divisor 120 and the new remainder 51, and apply the division lemma to get
120 = 51 x 2 + 18
We consider the new divisor 51 and the new remainder 18,and apply the division lemma to get
51 = 18 x 2 + 15
We consider the new divisor 18 and the new remainder 15,and apply the division lemma to get
18 = 15 x 1 + 3
We consider the new divisor 15 and the new remainder 3,and apply the division lemma to get
15 = 3 x 5 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 3, the HCF of 531 and 3837 is 3
Notice that 3 = HCF(15,3) = HCF(18,15) = HCF(51,18) = HCF(120,51) = HCF(531,120) = HCF(3837,531) .
HCF using Euclid's Algorithm Calculation Examples
Here are some samples of HCF using Euclid's Algorithm calculations.
Frequently Asked Questions on HCF of 531, 3837 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 531, 3837?
Answer: HCF of 531, 3837 is 3 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 531, 3837 using Euclid's Algorithm?
Answer: For arbitrary numbers 531, 3837 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.