Highest Common Factor of 3402, 6363 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 3402, 6363 i.e. 63 the largest integer that leaves a remainder zero for all numbers.
HCF of 3402, 6363 is 63 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 3402, 6363 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 3402, 6363 is 63.
HCF(3402, 6363) = 63
HCF of 3402, 6363 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 3402, 6363 is 63.
Highest Common Factor of 3402,6363 is 63
Step 1: Since 6363 > 3402, we apply the division lemma to 6363 and 3402, to get
6363 = 3402 x 1 + 2961
Step 2: Since the reminder 3402 ≠ 0, we apply division lemma to 2961 and 3402, to get
3402 = 2961 x 1 + 441
Step 3: We consider the new divisor 2961 and the new remainder 441, and apply the division lemma to get
2961 = 441 x 6 + 315
We consider the new divisor 441 and the new remainder 315,and apply the division lemma to get
441 = 315 x 1 + 126
We consider the new divisor 315 and the new remainder 126,and apply the division lemma to get
315 = 126 x 2 + 63
We consider the new divisor 126 and the new remainder 63,and apply the division lemma to get
126 = 63 x 2 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 63, the HCF of 3402 and 6363 is 63
Notice that 63 = HCF(126,63) = HCF(315,126) = HCF(441,315) = HCF(2961,441) = HCF(3402,2961) = HCF(6363,3402) .
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Frequently Asked Questions on HCF of 3402, 6363 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 3402, 6363?
Answer: HCF of 3402, 6363 is 63 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 3402, 6363 using Euclid's Algorithm?
Answer: For arbitrary numbers 3402, 6363 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.