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 795, 5862 i.e. 3 the largest integer that leaves a remainder zero for all numbers.
HCF of 795, 5862 is 3 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 795, 5862 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 795, 5862 is 3.
HCF(795, 5862) = 3
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 795, 5862 is 3.
Step 1: Since 5862 > 795, we apply the division lemma to 5862 and 795, to get
5862 = 795 x 7 + 297
Step 2: Since the reminder 795 ≠ 0, we apply division lemma to 297 and 795, to get
795 = 297 x 2 + 201
Step 3: We consider the new divisor 297 and the new remainder 201, and apply the division lemma to get
297 = 201 x 1 + 96
We consider the new divisor 201 and the new remainder 96,and apply the division lemma to get
201 = 96 x 2 + 9
We consider the new divisor 96 and the new remainder 9,and apply the division lemma to get
96 = 9 x 10 + 6
We consider the new divisor 9 and the new remainder 6,and apply the division lemma to get
9 = 6 x 1 + 3
We consider the new divisor 6 and the new remainder 3,and apply the division lemma to get
6 = 3 x 2 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 3, the HCF of 795 and 5862 is 3
Notice that 3 = HCF(6,3) = HCF(9,6) = HCF(96,9) = HCF(201,96) = HCF(297,201) = HCF(795,297) = HCF(5862,795) .
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 795, 5862?
Answer: HCF of 795, 5862 is 3 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 795, 5862 using Euclid's Algorithm?
Answer: For arbitrary numbers 795, 5862 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.