Highest Common Factor of 4293, 6058 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 4293, 6058 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 4293, 6058 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 4293, 6058 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 4293, 6058 is 1.
HCF(4293, 6058) = 1
HCF of 4293, 6058 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 4293, 6058 is 1.
Highest Common Factor of 4293,6058 is 1
Step 1: Since 6058 > 4293, we apply the division lemma to 6058 and 4293, to get
6058 = 4293 x 1 + 1765
Step 2: Since the reminder 4293 ≠ 0, we apply division lemma to 1765 and 4293, to get
4293 = 1765 x 2 + 763
Step 3: We consider the new divisor 1765 and the new remainder 763, and apply the division lemma to get
1765 = 763 x 2 + 239
We consider the new divisor 763 and the new remainder 239,and apply the division lemma to get
763 = 239 x 3 + 46
We consider the new divisor 239 and the new remainder 46,and apply the division lemma to get
239 = 46 x 5 + 9
We consider the new divisor 46 and the new remainder 9,and apply the division lemma to get
46 = 9 x 5 + 1
We consider the new divisor 9 and the new remainder 1,and apply the division lemma to get
9 = 1 x 9 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 4293 and 6058 is 1
Notice that 1 = HCF(9,1) = HCF(46,9) = HCF(239,46) = HCF(763,239) = HCF(1765,763) = HCF(4293,1765) = HCF(6058,4293) .
HCF using Euclid's Algorithm Calculation Examples
Here are some samples of HCF using Euclid's Algorithm calculations.
Frequently Asked Questions on HCF of 4293, 6058 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 4293, 6058?
Answer: HCF of 4293, 6058 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 4293, 6058 using Euclid's Algorithm?
Answer: For arbitrary numbers 4293, 6058 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.