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 8327, 2857 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 8327, 2857 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 8327, 2857 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 8327, 2857 is 1.
HCF(8327, 2857) = 1
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 8327, 2857 is 1.
Step 1: Since 8327 > 2857, we apply the division lemma to 8327 and 2857, to get
8327 = 2857 x 2 + 2613
Step 2: Since the reminder 2857 ≠ 0, we apply division lemma to 2613 and 2857, to get
2857 = 2613 x 1 + 244
Step 3: We consider the new divisor 2613 and the new remainder 244, and apply the division lemma to get
2613 = 244 x 10 + 173
We consider the new divisor 244 and the new remainder 173,and apply the division lemma to get
244 = 173 x 1 + 71
We consider the new divisor 173 and the new remainder 71,and apply the division lemma to get
173 = 71 x 2 + 31
We consider the new divisor 71 and the new remainder 31,and apply the division lemma to get
71 = 31 x 2 + 9
We consider the new divisor 31 and the new remainder 9,and apply the division lemma to get
31 = 9 x 3 + 4
We consider the new divisor 9 and the new remainder 4,and apply the division lemma to get
9 = 4 x 2 + 1
We consider the new divisor 4 and the new remainder 1,and apply the division lemma to get
4 = 1 x 4 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 8327 and 2857 is 1
Notice that 1 = HCF(4,1) = HCF(9,4) = HCF(31,9) = HCF(71,31) = HCF(173,71) = HCF(244,173) = HCF(2613,244) = HCF(2857,2613) = HCF(8327,2857) .
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 8327, 2857?
Answer: HCF of 8327, 2857 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 8327, 2857 using Euclid's Algorithm?
Answer: For arbitrary numbers 8327, 2857 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.