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 4843, 5348, 92169 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 4843, 5348, 92169 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 4843, 5348, 92169 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 4843, 5348, 92169 is 1.
HCF(4843, 5348, 92169) = 1
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 4843, 5348, 92169 is 1.
Step 1: Since 5348 > 4843, we apply the division lemma to 5348 and 4843, to get
5348 = 4843 x 1 + 505
Step 2: Since the reminder 4843 ≠ 0, we apply division lemma to 505 and 4843, to get
4843 = 505 x 9 + 298
Step 3: We consider the new divisor 505 and the new remainder 298, and apply the division lemma to get
505 = 298 x 1 + 207
We consider the new divisor 298 and the new remainder 207,and apply the division lemma to get
298 = 207 x 1 + 91
We consider the new divisor 207 and the new remainder 91,and apply the division lemma to get
207 = 91 x 2 + 25
We consider the new divisor 91 and the new remainder 25,and apply the division lemma to get
91 = 25 x 3 + 16
We consider the new divisor 25 and the new remainder 16,and apply the division lemma to get
25 = 16 x 1 + 9
We consider the new divisor 16 and the new remainder 9,and apply the division lemma to get
16 = 9 x 1 + 7
We consider the new divisor 9 and the new remainder 7,and apply the division lemma to get
9 = 7 x 1 + 2
We consider the new divisor 7 and the new remainder 2,and apply the division lemma to get
7 = 2 x 3 + 1
We consider the new divisor 2 and the new remainder 1,and apply the division lemma to get
2 = 1 x 2 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 4843 and 5348 is 1
Notice that 1 = HCF(2,1) = HCF(7,2) = HCF(9,7) = HCF(16,9) = HCF(25,16) = HCF(91,25) = HCF(207,91) = HCF(298,207) = HCF(505,298) = HCF(4843,505) = HCF(5348,4843) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 92169 > 1, we apply the division lemma to 92169 and 1, to get
92169 = 1 x 92169 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 92169 is 1
Notice that 1 = HCF(92169,1) .
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 4843, 5348, 92169?
Answer: HCF of 4843, 5348, 92169 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 4843, 5348, 92169 using Euclid's Algorithm?
Answer: For arbitrary numbers 4843, 5348, 92169 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.