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 9596, 6863 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 9596, 6863 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 9596, 6863 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 9596, 6863 is 1.
HCF(9596, 6863) = 1
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 9596, 6863 is 1.
Step 1: Since 9596 > 6863, we apply the division lemma to 9596 and 6863, to get
9596 = 6863 x 1 + 2733
Step 2: Since the reminder 6863 ≠ 0, we apply division lemma to 2733 and 6863, to get
6863 = 2733 x 2 + 1397
Step 3: We consider the new divisor 2733 and the new remainder 1397, and apply the division lemma to get
2733 = 1397 x 1 + 1336
We consider the new divisor 1397 and the new remainder 1336,and apply the division lemma to get
1397 = 1336 x 1 + 61
We consider the new divisor 1336 and the new remainder 61,and apply the division lemma to get
1336 = 61 x 21 + 55
We consider the new divisor 61 and the new remainder 55,and apply the division lemma to get
61 = 55 x 1 + 6
We consider the new divisor 55 and the new remainder 6,and apply the division lemma to get
55 = 6 x 9 + 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 9596 and 6863 is 1
Notice that 1 = HCF(6,1) = HCF(55,6) = HCF(61,55) = HCF(1336,61) = HCF(1397,1336) = HCF(2733,1397) = HCF(6863,2733) = HCF(9596,6863) .
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 9596, 6863?
Answer: HCF of 9596, 6863 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 9596, 6863 using Euclid's Algorithm?
Answer: For arbitrary numbers 9596, 6863 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.