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 6430, 3591 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 6430, 3591 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 6430, 3591 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 6430, 3591 is 1.
HCF(6430, 3591) = 1
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 6430, 3591 is 1.
Step 1: Since 6430 > 3591, we apply the division lemma to 6430 and 3591, to get
6430 = 3591 x 1 + 2839
Step 2: Since the reminder 3591 ≠ 0, we apply division lemma to 2839 and 3591, to get
3591 = 2839 x 1 + 752
Step 3: We consider the new divisor 2839 and the new remainder 752, and apply the division lemma to get
2839 = 752 x 3 + 583
We consider the new divisor 752 and the new remainder 583,and apply the division lemma to get
752 = 583 x 1 + 169
We consider the new divisor 583 and the new remainder 169,and apply the division lemma to get
583 = 169 x 3 + 76
We consider the new divisor 169 and the new remainder 76,and apply the division lemma to get
169 = 76 x 2 + 17
We consider the new divisor 76 and the new remainder 17,and apply the division lemma to get
76 = 17 x 4 + 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 6430 and 3591 is 1
Notice that 1 = HCF(8,1) = HCF(17,8) = HCF(76,17) = HCF(169,76) = HCF(583,169) = HCF(752,583) = HCF(2839,752) = HCF(3591,2839) = HCF(6430,3591) .
Here are some samples of HCF using Euclid's Algorithm calculations.
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 6430, 3591?
Answer: HCF of 6430, 3591 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 6430, 3591 using Euclid's Algorithm?
Answer: For arbitrary numbers 6430, 3591 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.