Highest Common Factor of 8101, 8348, 84407 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 8101, 8348, 84407 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 8101, 8348, 84407 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 8101, 8348, 84407 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 8101, 8348, 84407 is 1.
HCF(8101, 8348, 84407) = 1
HCF of 8101, 8348, 84407 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 8101, 8348, 84407 is 1.
Highest Common Factor of 8101,8348,84407 is 1
Step 1: Since 8348 > 8101, we apply the division lemma to 8348 and 8101, to get
8348 = 8101 x 1 + 247
Step 2: Since the reminder 8101 ≠ 0, we apply division lemma to 247 and 8101, to get
8101 = 247 x 32 + 197
Step 3: We consider the new divisor 247 and the new remainder 197, and apply the division lemma to get
247 = 197 x 1 + 50
We consider the new divisor 197 and the new remainder 50,and apply the division lemma to get
197 = 50 x 3 + 47
We consider the new divisor 50 and the new remainder 47,and apply the division lemma to get
50 = 47 x 1 + 3
We consider the new divisor 47 and the new remainder 3,and apply the division lemma to get
47 = 3 x 15 + 2
We consider the new divisor 3 and the new remainder 2,and apply the division lemma to get
3 = 2 x 1 + 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 8101 and 8348 is 1
Notice that 1 = HCF(2,1) = HCF(3,2) = HCF(47,3) = HCF(50,47) = HCF(197,50) = HCF(247,197) = HCF(8101,247) = HCF(8348,8101) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 84407 > 1, we apply the division lemma to 84407 and 1, to get
84407 = 1 x 84407 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 84407 is 1
Notice that 1 = HCF(84407,1) .
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Frequently Asked Questions on HCF of 8101, 8348, 84407 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 8101, 8348, 84407?
Answer: HCF of 8101, 8348, 84407 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 8101, 8348, 84407 using Euclid's Algorithm?
Answer: For arbitrary numbers 8101, 8348, 84407 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.