Highest Common Factor of 819, 9658, 3943 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 819, 9658, 3943 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 819, 9658, 3943 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 819, 9658, 3943 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 819, 9658, 3943 is 1.
HCF(819, 9658, 3943) = 1
HCF of 819, 9658, 3943 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 819, 9658, 3943 is 1.
Highest Common Factor of 819,9658,3943 is 1
Step 1: Since 9658 > 819, we apply the division lemma to 9658 and 819, to get
9658 = 819 x 11 + 649
Step 2: Since the reminder 819 ≠ 0, we apply division lemma to 649 and 819, to get
819 = 649 x 1 + 170
Step 3: We consider the new divisor 649 and the new remainder 170, and apply the division lemma to get
649 = 170 x 3 + 139
We consider the new divisor 170 and the new remainder 139,and apply the division lemma to get
170 = 139 x 1 + 31
We consider the new divisor 139 and the new remainder 31,and apply the division lemma to get
139 = 31 x 4 + 15
We consider the new divisor 31 and the new remainder 15,and apply the division lemma to get
31 = 15 x 2 + 1
We consider the new divisor 15 and the new remainder 1,and apply the division lemma to get
15 = 1 x 15 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 819 and 9658 is 1
Notice that 1 = HCF(15,1) = HCF(31,15) = HCF(139,31) = HCF(170,139) = HCF(649,170) = HCF(819,649) = HCF(9658,819) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 3943 > 1, we apply the division lemma to 3943 and 1, to get
3943 = 1 x 3943 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 3943 is 1
Notice that 1 = HCF(3943,1) .
HCF using Euclid's Algorithm Calculation Examples
Here are some samples of HCF using Euclid's Algorithm calculations.
Frequently Asked Questions on HCF of 819, 9658, 3943 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 819, 9658, 3943?
Answer: HCF of 819, 9658, 3943 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 819, 9658, 3943 using Euclid's Algorithm?
Answer: For arbitrary numbers 819, 9658, 3943 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.
