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 5858, 6179 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 5858, 6179 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 5858, 6179 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 5858, 6179 is 1.
HCF(5858, 6179) = 1
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 5858, 6179 is 1.
Step 1: Since 6179 > 5858, we apply the division lemma to 6179 and 5858, to get
6179 = 5858 x 1 + 321
Step 2: Since the reminder 5858 ≠ 0, we apply division lemma to 321 and 5858, to get
5858 = 321 x 18 + 80
Step 3: We consider the new divisor 321 and the new remainder 80, and apply the division lemma to get
321 = 80 x 4 + 1
We consider the new divisor 80 and the new remainder 1, and apply the division lemma to get
80 = 1 x 80 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 5858 and 6179 is 1
Notice that 1 = HCF(80,1) = HCF(321,80) = HCF(5858,321) = HCF(6179,5858) .
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 5858, 6179?
Answer: HCF of 5858, 6179 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 5858, 6179 using Euclid's Algorithm?
Answer: For arbitrary numbers 5858, 6179 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.