Highest Common Factor of 4348, 3097 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 4348, 3097 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 4348, 3097 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 4348, 3097 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 4348, 3097 is 1.
HCF(4348, 3097) = 1
HCF of 4348, 3097 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 4348, 3097 is 1.
Highest Common Factor of 4348,3097 is 1
Step 1: Since 4348 > 3097, we apply the division lemma to 4348 and 3097, to get
4348 = 3097 x 1 + 1251
Step 2: Since the reminder 3097 ≠ 0, we apply division lemma to 1251 and 3097, to get
3097 = 1251 x 2 + 595
Step 3: We consider the new divisor 1251 and the new remainder 595, and apply the division lemma to get
1251 = 595 x 2 + 61
We consider the new divisor 595 and the new remainder 61,and apply the division lemma to get
595 = 61 x 9 + 46
We consider the new divisor 61 and the new remainder 46,and apply the division lemma to get
61 = 46 x 1 + 15
We consider the new divisor 46 and the new remainder 15,and apply the division lemma to get
46 = 15 x 3 + 1
We consider the new divisor 15 and the new remainder 1,and apply the division lemma to get
15 = 1 x 15 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 4348 and 3097 is 1
Notice that 1 = HCF(15,1) = HCF(46,15) = HCF(61,46) = HCF(595,61) = HCF(1251,595) = HCF(3097,1251) = HCF(4348,3097) .
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Frequently Asked Questions on HCF of 4348, 3097 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 4348, 3097?
Answer: HCF of 4348, 3097 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 4348, 3097 using Euclid's Algorithm?
Answer: For arbitrary numbers 4348, 3097 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.
