Highest Common Factor of 6930, 4063 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 6930, 4063 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 6930, 4063 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 6930, 4063 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 6930, 4063 is 1.
HCF(6930, 4063) = 1
HCF of 6930, 4063 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 6930, 4063 is 1.
Highest Common Factor of 6930,4063 is 1
Step 1: Since 6930 > 4063, we apply the division lemma to 6930 and 4063, to get
6930 = 4063 x 1 + 2867
Step 2: Since the reminder 4063 ≠ 0, we apply division lemma to 2867 and 4063, to get
4063 = 2867 x 1 + 1196
Step 3: We consider the new divisor 2867 and the new remainder 1196, and apply the division lemma to get
2867 = 1196 x 2 + 475
We consider the new divisor 1196 and the new remainder 475,and apply the division lemma to get
1196 = 475 x 2 + 246
We consider the new divisor 475 and the new remainder 246,and apply the division lemma to get
475 = 246 x 1 + 229
We consider the new divisor 246 and the new remainder 229,and apply the division lemma to get
246 = 229 x 1 + 17
We consider the new divisor 229 and the new remainder 17,and apply the division lemma to get
229 = 17 x 13 + 8
We consider the new divisor 17 and the new remainder 8,and apply the division lemma to get
17 = 8 x 2 + 1
We consider the new divisor 8 and the new remainder 1,and apply the division lemma to get
8 = 1 x 8 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 6930 and 4063 is 1
Notice that 1 = HCF(8,1) = HCF(17,8) = HCF(229,17) = HCF(246,229) = HCF(475,246) = HCF(1196,475) = HCF(2867,1196) = HCF(4063,2867) = HCF(6930,4063) .
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Frequently Asked Questions on HCF of 6930, 4063 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 6930, 4063?
Answer: HCF of 6930, 4063 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 6930, 4063 using Euclid's Algorithm?
Answer: For arbitrary numbers 6930, 4063 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.