Highest Common Factor of 6305, 9727 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 6305, 9727 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 6305, 9727 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 6305, 9727 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 6305, 9727 is 1.
HCF(6305, 9727) = 1
HCF of 6305, 9727 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 6305, 9727 is 1.
Highest Common Factor of 6305,9727 is 1
Step 1: Since 9727 > 6305, we apply the division lemma to 9727 and 6305, to get
9727 = 6305 x 1 + 3422
Step 2: Since the reminder 6305 ≠ 0, we apply division lemma to 3422 and 6305, to get
6305 = 3422 x 1 + 2883
Step 3: We consider the new divisor 3422 and the new remainder 2883, and apply the division lemma to get
3422 = 2883 x 1 + 539
We consider the new divisor 2883 and the new remainder 539,and apply the division lemma to get
2883 = 539 x 5 + 188
We consider the new divisor 539 and the new remainder 188,and apply the division lemma to get
539 = 188 x 2 + 163
We consider the new divisor 188 and the new remainder 163,and apply the division lemma to get
188 = 163 x 1 + 25
We consider the new divisor 163 and the new remainder 25,and apply the division lemma to get
163 = 25 x 6 + 13
We consider the new divisor 25 and the new remainder 13,and apply the division lemma to get
25 = 13 x 1 + 12
We consider the new divisor 13 and the new remainder 12,and apply the division lemma to get
13 = 12 x 1 + 1
We consider the new divisor 12 and the new remainder 1,and apply the division lemma to get
12 = 1 x 12 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 6305 and 9727 is 1
Notice that 1 = HCF(12,1) = HCF(13,12) = HCF(25,13) = HCF(163,25) = HCF(188,163) = HCF(539,188) = HCF(2883,539) = HCF(3422,2883) = HCF(6305,3422) = HCF(9727,6305) .
HCF using Euclid's Algorithm Calculation Examples
Here are some samples of HCF using Euclid's Algorithm calculations.
Frequently Asked Questions on HCF of 6305, 9727 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 6305, 9727?
Answer: HCF of 6305, 9727 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 6305, 9727 using Euclid's Algorithm?
Answer: For arbitrary numbers 6305, 9727 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.
