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 5232, 3819 i.e. 3 the largest integer that leaves a remainder zero for all numbers.
HCF of 5232, 3819 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 5232, 3819 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 5232, 3819 is 3.
HCF(5232, 3819) = 3
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 5232, 3819 is 3.
Step 1: Since 5232 > 3819, we apply the division lemma to 5232 and 3819, to get
5232 = 3819 x 1 + 1413
Step 2: Since the reminder 3819 ≠ 0, we apply division lemma to 1413 and 3819, to get
3819 = 1413 x 2 + 993
Step 3: We consider the new divisor 1413 and the new remainder 993, and apply the division lemma to get
1413 = 993 x 1 + 420
We consider the new divisor 993 and the new remainder 420,and apply the division lemma to get
993 = 420 x 2 + 153
We consider the new divisor 420 and the new remainder 153,and apply the division lemma to get
420 = 153 x 2 + 114
We consider the new divisor 153 and the new remainder 114,and apply the division lemma to get
153 = 114 x 1 + 39
We consider the new divisor 114 and the new remainder 39,and apply the division lemma to get
114 = 39 x 2 + 36
We consider the new divisor 39 and the new remainder 36,and apply the division lemma to get
39 = 36 x 1 + 3
We consider the new divisor 36 and the new remainder 3,and apply the division lemma to get
36 = 3 x 12 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 3, the HCF of 5232 and 3819 is 3
Notice that 3 = HCF(36,3) = HCF(39,36) = HCF(114,39) = HCF(153,114) = HCF(420,153) = HCF(993,420) = HCF(1413,993) = HCF(3819,1413) = HCF(5232,3819) .
Here are some samples of HCF using Euclid's Algorithm calculations.
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 5232, 3819?
Answer: HCF of 5232, 3819 is 3 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 5232, 3819 using Euclid's Algorithm?
Answer: For arbitrary numbers 5232, 3819 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.