Highest Common Factor of 4591, 9668 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 4591, 9668 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 4591, 9668 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 4591, 9668 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 4591, 9668 is 1.
HCF(4591, 9668) = 1
HCF of 4591, 9668 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 4591, 9668 is 1.
Highest Common Factor of 4591,9668 is 1
Step 1: Since 9668 > 4591, we apply the division lemma to 9668 and 4591, to get
9668 = 4591 x 2 + 486
Step 2: Since the reminder 4591 ≠ 0, we apply division lemma to 486 and 4591, to get
4591 = 486 x 9 + 217
Step 3: We consider the new divisor 486 and the new remainder 217, and apply the division lemma to get
486 = 217 x 2 + 52
We consider the new divisor 217 and the new remainder 52,and apply the division lemma to get
217 = 52 x 4 + 9
We consider the new divisor 52 and the new remainder 9,and apply the division lemma to get
52 = 9 x 5 + 7
We consider the new divisor 9 and the new remainder 7,and apply the division lemma to get
9 = 7 x 1 + 2
We consider the new divisor 7 and the new remainder 2,and apply the division lemma to get
7 = 2 x 3 + 1
We consider the new divisor 2 and the new remainder 1,and apply the division lemma to get
2 = 1 x 2 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 4591 and 9668 is 1
Notice that 1 = HCF(2,1) = HCF(7,2) = HCF(9,7) = HCF(52,9) = HCF(217,52) = HCF(486,217) = HCF(4591,486) = HCF(9668,4591) .
HCF using Euclid's Algorithm Calculation Examples
Here are some samples of HCF using Euclid's Algorithm calculations.
Frequently Asked Questions on HCF of 4591, 9668 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 4591, 9668?
Answer: HCF of 4591, 9668 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 4591, 9668 using Euclid's Algorithm?
Answer: For arbitrary numbers 4591, 9668 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.