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 868, 823 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 868, 823 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 868, 823 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 868, 823 is 1.
HCF(868, 823) = 1
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 868, 823 is 1.
Step 1: Since 868 > 823, we apply the division lemma to 868 and 823, to get
868 = 823 x 1 + 45
Step 2: Since the reminder 823 ≠ 0, we apply division lemma to 45 and 823, to get
823 = 45 x 18 + 13
Step 3: We consider the new divisor 45 and the new remainder 13, and apply the division lemma to get
45 = 13 x 3 + 6
We consider the new divisor 13 and the new remainder 6,and apply the division lemma to get
13 = 6 x 2 + 1
We consider the new divisor 6 and the new remainder 1,and apply the division lemma to get
6 = 1 x 6 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 868 and 823 is 1
Notice that 1 = HCF(6,1) = HCF(13,6) = HCF(45,13) = HCF(823,45) = HCF(868,823) .
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 868, 823?
Answer: HCF of 868, 823 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 868, 823 using Euclid's Algorithm?
Answer: For arbitrary numbers 868, 823 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.