Highest Common Factor of 646, 9796 using Euclid's algorithm
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 646, 9796 i.e. 2 the largest integer that leaves a remainder zero for all numbers.
HCF of 646, 9796 is 2 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 646, 9796 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 646, 9796 is 2.
HCF(646, 9796) = 2
HCF of 646, 9796 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 646, 9796 is 2.
Highest Common Factor of 646,9796 is 2
Step 1: Since 9796 > 646, we apply the division lemma to 9796 and 646, to get
9796 = 646 x 15 + 106
Step 2: Since the reminder 646 ≠ 0, we apply division lemma to 106 and 646, to get
646 = 106 x 6 + 10
Step 3: We consider the new divisor 106 and the new remainder 10, and apply the division lemma to get
106 = 10 x 10 + 6
We consider the new divisor 10 and the new remainder 6,and apply the division lemma to get
10 = 6 x 1 + 4
We consider the new divisor 6 and the new remainder 4,and apply the division lemma to get
6 = 4 x 1 + 2
We consider the new divisor 4 and the new remainder 2,and apply the division lemma to get
4 = 2 x 2 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 646 and 9796 is 2
Notice that 2 = HCF(4,2) = HCF(6,4) = HCF(10,6) = HCF(106,10) = HCF(646,106) = HCF(9796,646) .
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Frequently Asked Questions on HCF of 646, 9796 using Euclid's Algorithm
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 646, 9796?
Answer: HCF of 646, 9796 is 2 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 646, 9796 using Euclid's Algorithm?
Answer: For arbitrary numbers 646, 9796 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.