Highest Common Factor of 3954, 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 3954, 6363 i.e. 3 the largest integer that leaves a remainder zero for all numbers.
HCF of 3954, 6363 is 3 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 3954, 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 3954, 6363 is 3.
HCF(3954, 6363) = 3
HCF of 3954, 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 3954, 6363 is 3.
Highest Common Factor of 3954,6363 is 3
Step 1: Since 6363 > 3954, we apply the division lemma to 6363 and 3954, to get
6363 = 3954 x 1 + 2409
Step 2: Since the reminder 3954 ≠ 0, we apply division lemma to 2409 and 3954, to get
3954 = 2409 x 1 + 1545
Step 3: We consider the new divisor 2409 and the new remainder 1545, and apply the division lemma to get
2409 = 1545 x 1 + 864
We consider the new divisor 1545 and the new remainder 864,and apply the division lemma to get
1545 = 864 x 1 + 681
We consider the new divisor 864 and the new remainder 681,and apply the division lemma to get
864 = 681 x 1 + 183
We consider the new divisor 681 and the new remainder 183,and apply the division lemma to get
681 = 183 x 3 + 132
We consider the new divisor 183 and the new remainder 132,and apply the division lemma to get
183 = 132 x 1 + 51
We consider the new divisor 132 and the new remainder 51,and apply the division lemma to get
132 = 51 x 2 + 30
We consider the new divisor 51 and the new remainder 30,and apply the division lemma to get
51 = 30 x 1 + 21
We consider the new divisor 30 and the new remainder 21,and apply the division lemma to get
30 = 21 x 1 + 9
We consider the new divisor 21 and the new remainder 9,and apply the division lemma to get
21 = 9 x 2 + 3
We consider the new divisor 9 and the new remainder 3,and apply the division lemma to get
9 = 3 x 3 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 3, the HCF of 3954 and 6363 is 3
Notice that 3 = HCF(9,3) = HCF(21,9) = HCF(30,21) = HCF(51,30) = HCF(132,51) = HCF(183,132) = HCF(681,183) = HCF(864,681) = HCF(1545,864) = HCF(2409,1545) = HCF(3954,2409) = HCF(6363,3954) .
HCF using Euclid's Algorithm Calculation Examples
Here are some samples of HCF using Euclid's Algorithm calculations.
Frequently Asked Questions on HCF of 3954, 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 3954, 6363?
Answer: HCF of 3954, 6363 is 3 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 3954, 6363 using Euclid's Algorithm?
Answer: For arbitrary numbers 3954, 6363 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.