Highest Common Factor of 3498, 6409 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 3498, 6409 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 3498, 6409 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 3498, 6409 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 3498, 6409 is 1.
HCF(3498, 6409) = 1
HCF of 3498, 6409 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 3498, 6409 is 1.
Highest Common Factor of 3498,6409 is 1
Step 1: Since 6409 > 3498, we apply the division lemma to 6409 and 3498, to get
6409 = 3498 x 1 + 2911
Step 2: Since the reminder 3498 ≠ 0, we apply division lemma to 2911 and 3498, to get
3498 = 2911 x 1 + 587
Step 3: We consider the new divisor 2911 and the new remainder 587, and apply the division lemma to get
2911 = 587 x 4 + 563
We consider the new divisor 587 and the new remainder 563,and apply the division lemma to get
587 = 563 x 1 + 24
We consider the new divisor 563 and the new remainder 24,and apply the division lemma to get
563 = 24 x 23 + 11
We consider the new divisor 24 and the new remainder 11,and apply the division lemma to get
24 = 11 x 2 + 2
We consider the new divisor 11 and the new remainder 2,and apply the division lemma to get
11 = 2 x 5 + 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 3498 and 6409 is 1
Notice that 1 = HCF(2,1) = HCF(11,2) = HCF(24,11) = HCF(563,24) = HCF(587,563) = HCF(2911,587) = HCF(3498,2911) = HCF(6409,3498) .
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Frequently Asked Questions on HCF of 3498, 6409 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 3498, 6409?
Answer: HCF of 3498, 6409 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 3498, 6409 using Euclid's Algorithm?
Answer: For arbitrary numbers 3498, 6409 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.