Highest Common Factor of 8330, 5756, 43634 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 8330, 5756, 43634 i.e. 2 the largest integer that leaves a remainder zero for all numbers.
HCF of 8330, 5756, 43634 is 2 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 8330, 5756, 43634 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 8330, 5756, 43634 is 2.
HCF(8330, 5756, 43634) = 2
HCF of 8330, 5756, 43634 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 8330, 5756, 43634 is 2.
Highest Common Factor of 8330,5756,43634 is 2
Step 1: Since 8330 > 5756, we apply the division lemma to 8330 and 5756, to get
8330 = 5756 x 1 + 2574
Step 2: Since the reminder 5756 ≠ 0, we apply division lemma to 2574 and 5756, to get
5756 = 2574 x 2 + 608
Step 3: We consider the new divisor 2574 and the new remainder 608, and apply the division lemma to get
2574 = 608 x 4 + 142
We consider the new divisor 608 and the new remainder 142,and apply the division lemma to get
608 = 142 x 4 + 40
We consider the new divisor 142 and the new remainder 40,and apply the division lemma to get
142 = 40 x 3 + 22
We consider the new divisor 40 and the new remainder 22,and apply the division lemma to get
40 = 22 x 1 + 18
We consider the new divisor 22 and the new remainder 18,and apply the division lemma to get
22 = 18 x 1 + 4
We consider the new divisor 18 and the new remainder 4,and apply the division lemma to get
18 = 4 x 4 + 2
We consider the new divisor 4 and the new remainder 2,and apply the division lemma to get
4 = 2 x 2 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 8330 and 5756 is 2
Notice that 2 = HCF(4,2) = HCF(18,4) = HCF(22,18) = HCF(40,22) = HCF(142,40) = HCF(608,142) = HCF(2574,608) = HCF(5756,2574) = HCF(8330,5756) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 43634 > 2, we apply the division lemma to 43634 and 2, to get
43634 = 2 x 21817 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 2 and 43634 is 2
Notice that 2 = HCF(43634,2) .
HCF using Euclid's Algorithm Calculation Examples
Here are some samples of HCF using Euclid's Algorithm calculations.
Frequently Asked Questions on HCF of 8330, 5756, 43634 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 8330, 5756, 43634?
Answer: HCF of 8330, 5756, 43634 is 2 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 8330, 5756, 43634 using Euclid's Algorithm?
Answer: For arbitrary numbers 8330, 5756, 43634 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.
