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 9649, 2266 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 9649, 2266 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 9649, 2266 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 9649, 2266 is 1.
HCF(9649, 2266) = 1
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 9649, 2266 is 1.
Step 1: Since 9649 > 2266, we apply the division lemma to 9649 and 2266, to get
9649 = 2266 x 4 + 585
Step 2: Since the reminder 2266 ≠ 0, we apply division lemma to 585 and 2266, to get
2266 = 585 x 3 + 511
Step 3: We consider the new divisor 585 and the new remainder 511, and apply the division lemma to get
585 = 511 x 1 + 74
We consider the new divisor 511 and the new remainder 74,and apply the division lemma to get
511 = 74 x 6 + 67
We consider the new divisor 74 and the new remainder 67,and apply the division lemma to get
74 = 67 x 1 + 7
We consider the new divisor 67 and the new remainder 7,and apply the division lemma to get
67 = 7 x 9 + 4
We consider the new divisor 7 and the new remainder 4,and apply the division lemma to get
7 = 4 x 1 + 3
We consider the new divisor 4 and the new remainder 3,and apply the division lemma to get
4 = 3 x 1 + 1
We consider the new divisor 3 and the new remainder 1,and apply the division lemma to get
3 = 1 x 3 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 9649 and 2266 is 1
Notice that 1 = HCF(3,1) = HCF(4,3) = HCF(7,4) = HCF(67,7) = HCF(74,67) = HCF(511,74) = HCF(585,511) = HCF(2266,585) = HCF(9649,2266) .
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 9649, 2266?
Answer: HCF of 9649, 2266 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 9649, 2266 using Euclid's Algorithm?
Answer: For arbitrary numbers 9649, 2266 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.