Highest Common Factor of 3038, 4598 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 3038, 4598 i.e. 2 the largest integer that leaves a remainder zero for all numbers.
HCF of 3038, 4598 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 3038, 4598 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 3038, 4598 is 2.
HCF(3038, 4598) = 2
HCF of 3038, 4598 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 3038, 4598 is 2.
Highest Common Factor of 3038,4598 is 2
Step 1: Since 4598 > 3038, we apply the division lemma to 4598 and 3038, to get
4598 = 3038 x 1 + 1560
Step 2: Since the reminder 3038 ≠ 0, we apply division lemma to 1560 and 3038, to get
3038 = 1560 x 1 + 1478
Step 3: We consider the new divisor 1560 and the new remainder 1478, and apply the division lemma to get
1560 = 1478 x 1 + 82
We consider the new divisor 1478 and the new remainder 82,and apply the division lemma to get
1478 = 82 x 18 + 2
We consider the new divisor 82 and the new remainder 2,and apply the division lemma to get
82 = 2 x 41 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 3038 and 4598 is 2
Notice that 2 = HCF(82,2) = HCF(1478,82) = HCF(1560,1478) = HCF(3038,1560) = HCF(4598,3038) .
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Frequently Asked Questions on HCF of 3038, 4598 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 3038, 4598?
Answer: HCF of 3038, 4598 is 2 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 3038, 4598 using Euclid's Algorithm?
Answer: For arbitrary numbers 3038, 4598 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.