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 9324, 8906 i.e. 2 the largest integer that leaves a remainder zero for all numbers.
HCF of 9324, 8906 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 9324, 8906 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 9324, 8906 is 2.
HCF(9324, 8906) = 2
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 9324, 8906 is 2.
Step 1: Since 9324 > 8906, we apply the division lemma to 9324 and 8906, to get
9324 = 8906 x 1 + 418
Step 2: Since the reminder 8906 ≠ 0, we apply division lemma to 418 and 8906, to get
8906 = 418 x 21 + 128
Step 3: We consider the new divisor 418 and the new remainder 128, and apply the division lemma to get
418 = 128 x 3 + 34
We consider the new divisor 128 and the new remainder 34,and apply the division lemma to get
128 = 34 x 3 + 26
We consider the new divisor 34 and the new remainder 26,and apply the division lemma to get
34 = 26 x 1 + 8
We consider the new divisor 26 and the new remainder 8,and apply the division lemma to get
26 = 8 x 3 + 2
We consider the new divisor 8 and the new remainder 2,and apply the division lemma to get
8 = 2 x 4 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 9324 and 8906 is 2
Notice that 2 = HCF(8,2) = HCF(26,8) = HCF(34,26) = HCF(128,34) = HCF(418,128) = HCF(8906,418) = HCF(9324,8906) .
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 9324, 8906?
Answer: HCF of 9324, 8906 is 2 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 9324, 8906 using Euclid's Algorithm?
Answer: For arbitrary numbers 9324, 8906 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.