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 9206, 9424 i.e. 2 the largest integer that leaves a remainder zero for all numbers.
HCF of 9206, 9424 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 9206, 9424 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 9206, 9424 is 2.
HCF(9206, 9424) = 2
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 9206, 9424 is 2.
Step 1: Since 9424 > 9206, we apply the division lemma to 9424 and 9206, to get
9424 = 9206 x 1 + 218
Step 2: Since the reminder 9206 ≠ 0, we apply division lemma to 218 and 9206, to get
9206 = 218 x 42 + 50
Step 3: We consider the new divisor 218 and the new remainder 50, and apply the division lemma to get
218 = 50 x 4 + 18
We consider the new divisor 50 and the new remainder 18,and apply the division lemma to get
50 = 18 x 2 + 14
We consider the new divisor 18 and the new remainder 14,and apply the division lemma to get
18 = 14 x 1 + 4
We consider the new divisor 14 and the new remainder 4,and apply the division lemma to get
14 = 4 x 3 + 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 9206 and 9424 is 2
Notice that 2 = HCF(4,2) = HCF(14,4) = HCF(18,14) = HCF(50,18) = HCF(218,50) = HCF(9206,218) = HCF(9424,9206) .
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 9206, 9424?
Answer: HCF of 9206, 9424 is 2 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 9206, 9424 using Euclid's Algorithm?
Answer: For arbitrary numbers 9206, 9424 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.