Highest Common Factor of 6909, 4658 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 6909, 4658 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 6909, 4658 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 6909, 4658 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 6909, 4658 is 1.
HCF(6909, 4658) = 1
HCF of 6909, 4658 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 6909, 4658 is 1.
Highest Common Factor of 6909,4658 is 1
Step 1: Since 6909 > 4658, we apply the division lemma to 6909 and 4658, to get
6909 = 4658 x 1 + 2251
Step 2: Since the reminder 4658 ≠ 0, we apply division lemma to 2251 and 4658, to get
4658 = 2251 x 2 + 156
Step 3: We consider the new divisor 2251 and the new remainder 156, and apply the division lemma to get
2251 = 156 x 14 + 67
We consider the new divisor 156 and the new remainder 67,and apply the division lemma to get
156 = 67 x 2 + 22
We consider the new divisor 67 and the new remainder 22,and apply the division lemma to get
67 = 22 x 3 + 1
We consider the new divisor 22 and the new remainder 1,and apply the division lemma to get
22 = 1 x 22 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 6909 and 4658 is 1
Notice that 1 = HCF(22,1) = HCF(67,22) = HCF(156,67) = HCF(2251,156) = HCF(4658,2251) = HCF(6909,4658) .
HCF using Euclid's Algorithm Calculation Examples
Here are some samples of HCF using Euclid's Algorithm calculations.
Frequently Asked Questions on HCF of 6909, 4658 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 6909, 4658?
Answer: HCF of 6909, 4658 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 6909, 4658 using Euclid's Algorithm?
Answer: For arbitrary numbers 6909, 4658 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.