Highest Common Factor of 4542, 8197 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 4542, 8197 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 4542, 8197 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 4542, 8197 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 4542, 8197 is 1.
HCF(4542, 8197) = 1
HCF of 4542, 8197 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 4542, 8197 is 1.
Highest Common Factor of 4542,8197 is 1
Step 1: Since 8197 > 4542, we apply the division lemma to 8197 and 4542, to get
8197 = 4542 x 1 + 3655
Step 2: Since the reminder 4542 ≠ 0, we apply division lemma to 3655 and 4542, to get
4542 = 3655 x 1 + 887
Step 3: We consider the new divisor 3655 and the new remainder 887, and apply the division lemma to get
3655 = 887 x 4 + 107
We consider the new divisor 887 and the new remainder 107,and apply the division lemma to get
887 = 107 x 8 + 31
We consider the new divisor 107 and the new remainder 31,and apply the division lemma to get
107 = 31 x 3 + 14
We consider the new divisor 31 and the new remainder 14,and apply the division lemma to get
31 = 14 x 2 + 3
We consider the new divisor 14 and the new remainder 3,and apply the division lemma to get
14 = 3 x 4 + 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 4542 and 8197 is 1
Notice that 1 = HCF(2,1) = HCF(3,2) = HCF(14,3) = HCF(31,14) = HCF(107,31) = HCF(887,107) = HCF(3655,887) = HCF(4542,3655) = HCF(8197,4542) .
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Frequently Asked Questions on HCF of 4542, 8197 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 4542, 8197?
Answer: HCF of 4542, 8197 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 4542, 8197 using Euclid's Algorithm?
Answer: For arbitrary numbers 4542, 8197 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.