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 9621, 2633 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 9621, 2633 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 9621, 2633 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 9621, 2633 is 1.
HCF(9621, 2633) = 1
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 9621, 2633 is 1.
Step 1: Since 9621 > 2633, we apply the division lemma to 9621 and 2633, to get
9621 = 2633 x 3 + 1722
Step 2: Since the reminder 2633 ≠ 0, we apply division lemma to 1722 and 2633, to get
2633 = 1722 x 1 + 911
Step 3: We consider the new divisor 1722 and the new remainder 911, and apply the division lemma to get
1722 = 911 x 1 + 811
We consider the new divisor 911 and the new remainder 811,and apply the division lemma to get
911 = 811 x 1 + 100
We consider the new divisor 811 and the new remainder 100,and apply the division lemma to get
811 = 100 x 8 + 11
We consider the new divisor 100 and the new remainder 11,and apply the division lemma to get
100 = 11 x 9 + 1
We consider the new divisor 11 and the new remainder 1,and apply the division lemma to get
11 = 1 x 11 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 9621 and 2633 is 1
Notice that 1 = HCF(11,1) = HCF(100,11) = HCF(811,100) = HCF(911,811) = HCF(1722,911) = HCF(2633,1722) = HCF(9621,2633) .
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 9621, 2633?
Answer: HCF of 9621, 2633 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 9621, 2633 using Euclid's Algorithm?
Answer: For arbitrary numbers 9621, 2633 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.