Highest Common Factor of 2858, 4348, 83634 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 2858, 4348, 83634 i.e. 2 the largest integer that leaves a remainder zero for all numbers.
HCF of 2858, 4348, 83634 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 2858, 4348, 83634 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 2858, 4348, 83634 is 2.
HCF(2858, 4348, 83634) = 2
HCF of 2858, 4348, 83634 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 2858, 4348, 83634 is 2.
Highest Common Factor of 2858,4348,83634 is 2
Step 1: Since 4348 > 2858, we apply the division lemma to 4348 and 2858, to get
4348 = 2858 x 1 + 1490
Step 2: Since the reminder 2858 ≠ 0, we apply division lemma to 1490 and 2858, to get
2858 = 1490 x 1 + 1368
Step 3: We consider the new divisor 1490 and the new remainder 1368, and apply the division lemma to get
1490 = 1368 x 1 + 122
We consider the new divisor 1368 and the new remainder 122,and apply the division lemma to get
1368 = 122 x 11 + 26
We consider the new divisor 122 and the new remainder 26,and apply the division lemma to get
122 = 26 x 4 + 18
We consider the new divisor 26 and the new remainder 18,and apply the division lemma to get
26 = 18 x 1 + 8
We consider the new divisor 18 and the new remainder 8,and apply the division lemma to get
18 = 8 x 2 + 2
We consider the new divisor 8 and the new remainder 2,and apply the division lemma to get
8 = 2 x 4 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 2858 and 4348 is 2
Notice that 2 = HCF(8,2) = HCF(18,8) = HCF(26,18) = HCF(122,26) = HCF(1368,122) = HCF(1490,1368) = HCF(2858,1490) = HCF(4348,2858) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 83634 > 2, we apply the division lemma to 83634 and 2, to get
83634 = 2 x 41817 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 2 and 83634 is 2
Notice that 2 = HCF(83634,2) .
HCF using Euclid's Algorithm Calculation Examples
Here are some samples of HCF using Euclid's Algorithm calculations.
Frequently Asked Questions on HCF of 2858, 4348, 83634 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 2858, 4348, 83634?
Answer: HCF of 2858, 4348, 83634 is 2 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 2858, 4348, 83634 using Euclid's Algorithm?
Answer: For arbitrary numbers 2858, 4348, 83634 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.