Highest Common Factor of 3903, 6598 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 3903, 6598 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 3903, 6598 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 3903, 6598 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 3903, 6598 is 1.
HCF(3903, 6598) = 1
HCF of 3903, 6598 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 3903, 6598 is 1.
Highest Common Factor of 3903,6598 is 1
Step 1: Since 6598 > 3903, we apply the division lemma to 6598 and 3903, to get
6598 = 3903 x 1 + 2695
Step 2: Since the reminder 3903 ≠ 0, we apply division lemma to 2695 and 3903, to get
3903 = 2695 x 1 + 1208
Step 3: We consider the new divisor 2695 and the new remainder 1208, and apply the division lemma to get
2695 = 1208 x 2 + 279
We consider the new divisor 1208 and the new remainder 279,and apply the division lemma to get
1208 = 279 x 4 + 92
We consider the new divisor 279 and the new remainder 92,and apply the division lemma to get
279 = 92 x 3 + 3
We consider the new divisor 92 and the new remainder 3,and apply the division lemma to get
92 = 3 x 30 + 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 3903 and 6598 is 1
Notice that 1 = HCF(2,1) = HCF(3,2) = HCF(92,3) = HCF(279,92) = HCF(1208,279) = HCF(2695,1208) = HCF(3903,2695) = HCF(6598,3903) .
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Frequently Asked Questions on HCF of 3903, 6598 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 3903, 6598?
Answer: HCF of 3903, 6598 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 3903, 6598 using Euclid's Algorithm?
Answer: For arbitrary numbers 3903, 6598 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.